146 results on '"Coherent information"'
Search Results
2. Channel polarization of two-dimensional-input quantum symmetric channels.
- Author
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Yi, Zhengzhong, Liang, Zhipeng, and Wang, Xuan
- Subjects
- *
INFORMATION measurement , *CHANNEL coding , *GAUSSIAN channels - Abstract
Being attracted by the property of classical polar code, researchers are trying to find its analogue in quantum fields, which is called quantum polar code. The first step and the key to design quantum polar code is to find out for the quantity which can measure the quality of quantum channels, whether there is a polarization phenomenon which is similar to classical channel polarization. Coherent information is believed to be the quantum analogue of classical mutual information and the quantity to measure the capacity of quantum channel. In this paper, we define a class of quantum channels called quantum symmetric channels and prove that for quantum symmetric channels, under the similar channel combining and splitting process as in the classical channel polarization, the maximum single-letter coherent information of the coordinate channels will polarize. That is to say, there is a channel polarization phenomenon in quantum symmetric channels. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
3. Irreducibly SU(2)-covariant quantum channels of low rank.
- Author
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Chang, Euijung, Kim, Jaeyoung, Kwak, Hyesun, Lee, Hun Hee, and Youn, Sang-Gyun
- Abstract
We investigate information theoretic properties of low rank (less than or equal to 3) quantum channels with S U (2) -symmetry, where we have a complete description. We prove that PPT property coincides with entanglement-breaking property and that degradability seldomly holds in this class. In connection with these results, we will demonstrate how we can compute Holevo and coherent information of those channels. In particular, we exhibit a strong form of additivity violation of coherent information, which resembles the superactivation of coherent information of depolarizing channels. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
4. Convergence Conditions for the Quantum Relative Entropy and Other Applications of the Deneralized Quantum Dini Lemma.
- Author
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Shirokov, M. E.
- Abstract
We describe a generalized version of the result called quantum Dini lemma that was used previously for analysis of local continuity of basic correlation and entanglement measures. The generalization consists in considering sequences of functions instead of a single function. It allows to expand the scope of possible applications of the method. We prove two general dominated convergence theorems and the theorem about preserving local continuity under convex mixtures. By using these theorems we obtain several convergence conditions for the quantum relative entropy and for the mutual information of a quantum channel considered as a function of a pair (channel, input state). [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
5. On Quantum States with a Finite-Dimensional Approximation Property.
- Author
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Shirokov, M. E.
- Abstract
We consider a class (convex set) of quantum states containing all finite rank states and infinite rank states with the sufficient rate of decreasing of eigenvalues (in particular, all Gaussian states). Quantum states from this class are characterized by the property (called the FA-property) that allows to obtain several results concerning finite-dimensional approximation of basic entropic and information characteristics of quantum systems and channels. We obtain a simple sufficient condition of the FA-property. We show that all the states with the FA-property form a face of the convex set of all quantum states that is contained within the face of all states with finite von Neumann entropy (the non-coincidence of these two faces follows from the recent result of S. Becker, N. Datta and M.G. Jabbour). We obtain uniform approximation results for characteristics depending on a pair (channel, input state) and for characteristics depending on a pair (channel, input ensemble). We establish the uniform continuity of the above characteristics as functions of a channel w.r.t. the strong convergence provided that the FA-property holds either for the input state or for the average state of input ensemble. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF
6. Single- and compound-mode squeezing in nonlinear coupler with frequency mismatch.
- Author
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Julius, Rafael, Zahirzai, Mansoor, Ibrahim, Abdel-Baset M. A., Eleuch, Hichem, and Choudhury, Pankaj K.
- Subjects
- *
SQUEEZED light , *QUANTUM optics , *INVESTIGATIONS - Abstract
The properties of squeezing, in relation to the different interaction frequencies of the input modes in three-mode Kerr nonlinear coupler consisting of two linearly-coupled Kerr waveguides, were explored. Utilizing the exact representation of a set of noisy-stochastic equations, an investigation was made of the first-order properties of squeezing for two- and three-mode interactions with frequency mismatch. It was observed that enhanced squeezing could be obtained under certain conditions of interactions. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
7. Lower Estimates for Distances from a Given Quantum Channel to Certain Classes of Quantum Channels.
- Author
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Shirokov, M. E. and Bulinski, A. V.
- Subjects
- *
QUANTUM information theory , *DISTANCES , *QUANTUM states , *ENTROPY (Information theory) , *ESTIMATES - Abstract
By using estimates for the variation of quantum mutual information and the relative entropy of entanglement, we obtain ε-exact lower estimates for distances from a given quantum channels to sets of degradable, antidegradable, and entanglement-breaking channels. As an auxiliary result, we obtain ε-exact lower estimates for the distance from a given two-particle state to the set of all separable states. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF
8. Sub-Poissonian photon squeezing and entanglement in optical chain second harmonic generation.
- Author
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Julius, Rafael, Ibrahim, Abdel-Baset M. A., Eleuch, Hichem, and Choudhury, Pankaj K.
- Subjects
- *
SECOND harmonic generation , *SQUEEZED light , *OPTICAL waveguides , *PHOTONS , *FOKKER-Planck equation , *HARMONIC generation - Abstract
Nonclassical properties exhibited by a chain of cavity modes second harmonic generation in coupled oscillators system, designed by using multichannel optical waveguides, is explored. The solution for the Hamiltonian of the coupled-modes driven by coherent excitation is obtained via an exact formulation of the normal-ordered Fokker-Planck equation. Nonclassical effects, namely the sub-Poissonian photons, squeezing and entanglement are noticed. Multichannel coupling of the coupled oscillators induces new possibilities for correlation between the modes in different channels, henceforth, provides an effective way towards manipulation of quantum light. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF
9. Multiple Models, One Explanation
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Lisciandra, Chiara, Korbmacher, Johannes, LS Theoretische filosofie, OFR - Theoretical Philosophy, LS Theoretische filosofie, OFR - Theoretical Philosophy, and Research programme EEF
- Subjects
Structure (mathematical logic) ,international trade-theory ,Computer science ,Economics ,05 social sciences ,Economics, Econometrics and Finance (miscellaneous) ,Coherent information ,050905 science studies ,Multiple Models ,0502 economics and business ,robustness analysis ,Econometrics and Finance (miscellaneous) ,Multiple models ,structure ,050207 economics ,0509 other social sciences ,Mathematical economics - Abstract
We develop an account of how mutually inconsistent models of the same target system can provide coherent information about the system. Our account makes use of ideas from the debate surrounding robustness analysis and draws on the idea of a shared structure among models. To illustrate, we consider a case study from international trade-theory.
- Published
- 2021
- Full Text
- View/download PDF
10. Quantum Ramp Secret Sharing Scheme and Quantum Operations.
- Author
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Xiao, Heling, Wang, Huifeng, and Wang, Bin
- Subjects
- *
QUANTUM information theory , *QUANTUM mechanics , *QUANTUM cryptography , *HILBERT space , *QUANTUM error correcting codes - Abstract
In order to improve the efficiency of quantum secret sharing, quantum ramp secret sharing schemes were proposed (Ogawa et al., Phys. Rev. A 72, 032318 []), which had a trade-off between security and coding efficiency. In quantum ramp secret sharing, partial information about the secret is allowed to leak to a set of participants, called an intermediate set, which cannot fully reconstruct the secret. This paper revisits the size of a share in the quantum ramp secret scheme based on a relation between the quantum operations and the coherent information. We also propose an optimal quantum ramp secret sharing scheme. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
11. Efficient Quantum Polar Codes Requiring No Preshared Entanglement.
- Author
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Renes, Joseph M., Sutter, David, Dupuis, Frederic, and Renner, Renato
- Subjects
- *
QUANTUM information theory , *DECODING algorithms , *ERROR-correcting codes , *CHANNEL coding , *MEMORYLESS systems - Abstract
We construct an explicit quantum coding scheme which achieves a communication rate not less than the coherent information when used to transmit the quantum information over a noisy quantum channel. For Pauli and erasure channels, we also present efficient encoding and decoding algorithms for this communication scheme based on polar codes (essentially linear in the blocklength), but which do not require the sender and receiver to share any entanglement before the protocol begins. Due to the existence of degeneracies in the involved error-correcting codes, it is indeed possible that the rate of the scheme exceeds the coherent information. We provide a simple criterion which indicates such performance. Finally, we discuss how the scheme can be used for secret key distillation as well as private channel coding. [ABSTRACT FROM PUBLISHER]
- Published
- 2015
- Full Text
- View/download PDF
12. Temporal Decorrelation in L-, C-, and X-band Satellite Radar Interferometry for Pasture on Drained Peat Soils.
- Author
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Morishita, Yu and Hanssen, Ramon F.
- Subjects
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DECORRELATION (Signal processing) , *INTERFEROMETRY , *SYNTHETIC aperture radar , *LAND use , *PASTURES , *PEAT soils - Abstract
Temporal decorrelation is one of the main limitations of synthetic aperture radar (SAR) interferometry. For nonurban areas, its mechanism is very complex, as it is very dependent of vegetation types and their temporal dynamics, actual land use, soil types, and climatological circumstances. Yet, an a priori assessment and comprehension of the expected coherence levels of interferograms are required for designing new satellite missions (in terms of frequency, resolution, and repeat orbits), for choosing the optimal data sets for a specific application, and for feasibility studies for new interferometric applications. Although generic models for temporal decorrelation have been proposed, their parameters depend heavily on the land use in the area of interest. Here, we report the behavior of temporal decorrelation for a specific class of land use: pasture on drained peat soils. We use L-, C-, and X-band SAR observations from the Advanced Land Observation Satellite (ALOS), European Remote Sensing Satellite, Envisat, RADARSAT-2, and TerraSAR-X missions. We present a dedicated temporal decorrelation model using three parameters and demonstrate how coherent information can be retrieved as a function of frequency, repeat intervals, and coherence estimation window sizes. New satellites such as Sentinel-1 and ALOS-2, with shorter repeat intervals than their predecessors, would enhance the possibility to obtain a coherent signal over pasture. [ABSTRACT FROM PUBLISHER]
- Published
- 2015
- Full Text
- View/download PDF
13. Text Detection Based on Faster R-CNN Algorithm with Skip Pooling and Fusion of Hindi Handwritten Characters
- Author
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Ashish Chaturvedi, Abhishek Rajeshkumar Mehta, and Subhashchandra Desai
- Subjects
business.industry ,Computer science ,Faster R-CNN ,Association (object-oriented programming) ,Computation ,Pooling ,object detection ,Coherent information ,Object (computer science) ,Machine learning ,computer.software_genre ,guided anchor RPN ,Object detection ,skip pooling ,Pointer (computer programming) ,Artificial intelligence ,Layer (object-oriented design) ,business ,computer - Abstract
Significant learning is at present the standard system for object disclosure. Speedier territory based convolutional neural association (Faster R-CNN) has a basic circumstance in significant learning. It has stunning area impacts in standard scenes. Regardless, under unprecedented conditions, there can even now be inadmissible acknowledgment execution, for instance, the thing having issues like hindrance, contorting, or little size. This paper proposes a novel and improved estimation reliant on the Faster R-CNN framework got together with the Faster R-CNN figuring with skip pooling and mix of consistent information. This computation can improve the revelation execution under uncommon conditions dependent on Faster R-CNN. The improvement basically has three segments: The underlying portion adds a setting information incorporate extraction model after the conv5_3 of the convolutional layer; the resulting part adds skip pooling so the past can totally secure the coherent information of the article, especially for conditions where the thing is hindered and distorted; and the third part replaces the area recommendation association (RPN) with a more capable guided anchor RPN (GA-RPN), which can keep up the survey rate while improving the revelation execution. The last can get more positive information from different segment layers of the significant neural association figuring, and is especially centered around scenes with little articles. Differentiated and Faster R-CNN, you simply look once plan, (for instance, YOLOv3), single shot pointer, (for instance, SSD512), and other article revelation computations, the estimation proposed in this paper has an ordinary improvement of 6.857% on the mean typical precision (mAP) appraisal list while keeping up a particular audit rate. This unequivocally exhibits that the proposed methodology has higher ID rate and disclosure efficiency for this circumstance.
- Published
- 2021
14. Potential of deep learning segmentation for the extraction of archaeological features from historical map series
- Author
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Arnau Garcia-Molsosa, Graham Philip, Dan Lawrence, Cameron A. Petrie, Kristen Hopper, Hector A. Orengo, Garcia-Molsosa, Arnau [0000-0001-5416-2986], Orengo, Hector A [0000-0002-9385-2370], Lawrence, Dan [0000-0001-5613-1243], Philip, Graham [0000-0002-6023-3928], Hopper, Kristen [0000-0002-3656-4305], Petrie, Cameron A [0000-0002-2926-7230], Apollo - University of Cambridge Repository, Apollo-University Of Cambridge Repository, Garcia‐Molsosa, Arnau [0000-0001-5416-2986], Orengo, Hector A. [0000-0002-9385-2370], and Petrie, Cameron A. [0000-0002-2926-7230]
- Subjects
Archeology ,History ,010504 meteorology & atmospheric sciences ,Computer science ,Coherent information ,01 natural sciences ,Map series ,Natural (archaeology) ,RESEARCH ARTICLES ,RESEARCH ARTICLE ,90 - Arqueologia. Prehistòria ,4301 Archaeology ,0601 history and archaeology ,4303 Historical Studies ,43 History, Heritage and Archaeology ,0105 earth and related environmental sciences ,Aprenentatge automàtic -- Arqueologia ,Spatial contextual awareness ,060102 archaeology ,Land use ,business.industry ,Deep learning ,15 Life on Land ,06 humanities and the arts ,computer.file_format ,15. Life on land ,Natural resource ,Archaeology ,Artificial intelligence ,Generic health relevance ,Raster graphics ,business ,computer - Abstract
Historical maps present a unique depiction of past landscapes, providing evidence for a wide range of information such as settlement distribution, past land use, natural resources, transport networks, toponymy and other natural and cultural data within an explicitly spatial context. Maps produced before the expansion of large‐scale mechanized agriculture reflect a landscape that is lost today. Of particular interest to us is the great quantity of archaeologically relevant information that these maps recorded, both deliberately and incidentally. Despite the importance of the information they contain, researchers have only recently begun to automatically digitize and extract data from such maps as coherent information, rather than manually examine a raster image. However, these new approaches have focused on specific types of information that cannot be used directly for archaeological or heritage purposes. This paper provides a proof of concept of the application of deep learning techniques to extract archaeological information from historical maps in an automated manner. Early twentieth century colonial map series have been chosen, as they provide enough time depth to avoid many recent large‐scale landscape modifications and cover very large areas (comprising several countries). The use of common symbology and conventions enhance the applicability of the method. The results show deep learning to be an efficient tool for the recovery of georeferenced, archaeologically relevant information that is represented as conventional signs, line‐drawings and text in historical maps. The method can provide excellent results when an adequate training dataset has been gathered and is therefore at its best when applied to the large map series that can supply such information. The deep learning approaches described here open up the possibility to map sites and features across entire map series much more quickly and coherently than other available methods, opening up the potential to reconstruct archaeological landscapes at continental scales.
- Published
- 2021
15. Floquet Cavity Electromagnonics
- Author
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Jing Xu, Dafei Jin, Xufeng Zhang, Changchun Zhong, Liang Jiang, and Xu Han
- Subjects
Magnonics ,Physics ,Floquet theory ,Photon ,Condensed Matter - Mesoscale and Nanoscale Physics ,Magnon ,FOS: Physical sciences ,General Physics and Astronomy ,Coherent information ,01 natural sciences ,Coupling (physics) ,Coherent control ,Modulation ,Quantum electrodynamics ,Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ,0103 physical sciences ,010306 general physics - Abstract
Hybrid magnonics has recently attracted intensive attentions as a promising platform for coherent information processing. In spite of its rapid development, on-demand control over the interaction of magnons with other information carriers, in particular microwave photons in electromagnonic systems, has been long missing, significantly limiting the broad applications of hybrid magnonics. Here, we show that by introducing Floquet engineering into cavity electromagnonics, coherent control on the magnon-microwave photon coupling can be realized. Leveraging the periodic temporal modulation from a Floquet drive, our first-of-its-kind Floquet cavity electromagnonic system can manipulate the interaction between hybridized cavity electromagnonic modes on demand. Moreover, we demonstrate a new coupling regime in such systems: the Floquet ultrastrong coupling, where the Floquet splitting is comparable with or even larger than the level spacing of the two interacting modes, resulting in the breakdown of the rotating wave approximation. Our findings open up new directions for magnon-based coherent signal processing., 9 pages, 6 figures
- Published
- 2020
16. Simultaneous blockade of a photon phonon, and magnon induced by a two-level atom
- Author
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Chengsong Zhao, Xun Li, Ling Zhou, Rui Peng, Shi-Lei Chao, and Chong Li
- Subjects
Coupling ,Physics ,Quantum Physics ,Photon ,Condensed matter physics ,Phonon ,Magnon ,FOS: Physical sciences ,Physics::Optics ,Coherent information ,Condensed Matter::Mesoscopic Systems and Quantum Hall Effect ,Resonance (particle physics) ,Condensed Matter::Materials Science ,Atom ,Condensed Matter::Strongly Correlated Electrons ,Quantum Physics (quant-ph) ,Microwave - Abstract
The hybrid microwave optomechanical-magnetic system has recently emerged as a promising candidate for coherent information processing because of the ultrastrong microwave photon-magnon coupling and the longlife of the magnon and phonon. As a quantum information processing device, the realization of a single excitation holds special meaning for the hybrid system. In this paper, we introduce a single two-level atom into the optomechanical-magnetic system and show that an unconventional blockade due to destructive interference cannot offer a blockade of both the photon and magnon. Meanwhile, under the condition of single excitation resonance, the blockade of the photon, phonon, and magnon can be achieved simultaneously even in a weak optomechanical region, but the phonon blockade still requires the cryogenic temperature condition., 10 pages, 7 figures
- Published
- 2020
17. Social Laser Model for the Bandwagon Effect: Generation of Coherent Information Waves
- Author
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Andrei Khrennikov
- Subjects
Physics - Physics and Society ,General Physics and Astronomy ,FOS: Physical sciences ,lcsh:Astrophysics ,Coherent information ,Physics and Society (physics.soc-ph) ,Information theory ,01 natural sciences ,Article ,social laser ,010305 fluids & plasmas ,social energy ,Social actions ,Phenomenon ,Political science ,0103 physical sciences ,lcsh:QB460-466 ,quantum-like decision-making ,coherent information waves ,Quantum field theory ,Quantum information ,010306 general physics ,lcsh:Science ,bandwagon effect ,echo chamber ,Quantum Physics ,business.industry ,lcsh:QC1-999 ,Quantitative Biology - Neurons and Cognition ,FOS: Biological sciences ,The Internet ,Neurons and Cognition (q-bio.NC) ,lcsh:Q ,resonator ,business ,Quantum Physics (quant-ph) ,Bandwagon effect ,lcsh:Physics ,Cognitive psychology - Abstract
During recent years our society has often been exposed to coherent information waves of high amplitudes. These are waves of huge social energy. Often they are of destructive character, a kind of information tsunami. However, they can also carry positive improvements in human society, as waves of decision-making matching rational recommendations of societal institutes. The main distinguishing features of these waves are their high amplitude, coherence (homogeneous character of social actions generated by them), and short time needed for their generation and relaxation. Such waves can be treated as large-scale exhibitions of the bandwagon effect. We show that this socio-psychic phenomenon can be modeled based on the recently developed social laser theory. This theory can be used to model stimulated amplification of coherent social actions. &ldquo, Actions&rdquo, are treated very generally, from mass protests to votes and other collective decisions, such as, e.g., acceptance (often unconscious) of some societal recommendations. In this paper, we concentrate on the theory of laser resonators, physical vs. social. For the latter, we analyze in detail the functioning of Internet-based echo chambers. Their main purpose is increasing of the power of the quantum information field as well as its coherence. Of course, the bandwagon effect is well known and well studied in social psychology. However, social laser theory gives the possibility to model it by using general formalism of quantum field theory. The paper contains the minimum of mathematics and it can be read by researchers working in psychological, cognitive, social, and political sciences, it might also be interesting for experts in information theory and artificial intelligence.
- Published
- 2020
- Full Text
- View/download PDF
18. Entropic singularities give rise to quantum transmission
- Author
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Vikesh Siddhu
- Subjects
Physics ,Quantum Physics ,Multidisciplinary ,Quantum information ,Science ,FOS: Physical sciences ,General Physics and Astronomy ,General Chemistry ,Coherent information ,Quantum capacity ,Binary erasure channel ,Article ,General Biochemistry, Genetics and Molecular Biology ,Quantum technology ,Qubit ,Information theory and computation ,Statistical physics ,Quantum Physics (quant-ph) ,Quantum ,Entropy (arrow of time) ,Computer Science::Information Theory - Abstract
When can noiseless quantum information be sent across noisy quantum devices? And at what maximum rate? These questions lie at the heart of quantum technology, but remain unanswered because of non-additivity -- a fundamental synergy which allows quantum devices (aka quantum channels) to send more information than expected. Previously, non-additivity was known to occur in very noisy channels with coherent information much smaller than that of a perfect channel; but, our work shows non-additivity in a simple low-noise channel. Our results extend even further. We prove a general theorem concerning positivity of a channel's coherent information. A corollary of this theorem gives a simple dimensional test for a channel's capacity. Applying this corollary solves an open problem by characterizing all qubit channels whose complement has non-zero capacity. Another application shows a wide class of zero quantum capacity qubit channels can assist an incomplete erasure channel in sending quantum information. These results arise from introducing and linking logarithmic singularities in the von-Neumann entropy with quantum transmission: changes in entropy caused by this singularity are a mechanism responsible for both positivity and non-additivity of the coherent information. Analysis of such singularities may be useful in other physics problems., 20 pages, 5 figures, comments are welcome, v2: matches published version
- Published
- 2020
19. THE QUANTUM CAPACITY BOUNDS OF A LOSSY GAUSSIAN QUANTUM CHANNEL.
- Author
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CHEN, XIAO-YU and JIANG, LI-ZHEN
- Subjects
- *
QUANTUM theory , *GAUSSIAN processes , *ALGORITHMS , *INFORMATION theory , *ENTROPY , *RANDOM noise theory , *EIGENVALUES - Abstract
Quantum capacity of the lossy Gaussian quantum channel remains an open problem in quantum information theory, although the upper and lower bounds are well-known. We show that for the n-use of the channel, the input of entangled commutative Gaussian state does not improve the lower bound of the capacity. When the total energy is limited, an unfair distribution of the energy among the n-use will improve the lower bound. [ABSTRACT FROM AUTHOR]
- Published
- 2011
- Full Text
- View/download PDF
20. Entanglement Information Rate Distortion of a Quantum Gaussian Source.
- Author
-
Xiao-Yu Chen and Wei-Ming Wang
- Subjects
- *
QUANTUM communication , *CONTACT transformations , *GAUSSIAN processes , *DISTRIBUTION (Probability theory) , *STOCHASTIC processes , *GAUSSIAN measures , *INFORMATION theory , *DATA transmission systems , *ENCODING - Abstract
Quantum distortion operator is introduced based on canonical operators. As the lower bound of quantum information rate distortion, the entanglement information rate distortion is achieved by Gaussian map for Gaussian source. The entanglement information rate-distortion function is calculated for one-mode Gaussian source, it is achieved by a nontrivial unitary transformation. The rate distortion is achievable at zero distortion point. In contrast to the distortion defined via fidelity, our definition of the distortion makes it possible to calculate the entanglement information rate-distortion function for Gaussian source. [ABSTRACT FROM AUTHOR]
- Published
- 2008
- Full Text
- View/download PDF
21. An entanglement measure based on the capacity of dense coding
- Author
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Hiroshima, Tohya
- Subjects
- *
DENSITY , *COHERENCE (Physics) , *BIPARTITE graphs - Abstract
An asymptotic entanglement measure for any bipartite states is derived in the light of the dense coding capacity optimized with respect to local quantum operations and classical communications. General properties and some examples with explicit forms of this entanglement measure are investigated. [Copyright &y& Elsevier]
- Published
- 2002
- Full Text
- View/download PDF
22. The Critical Points of Coherent Information on the Manifold of Positive Definite Matrices
- Author
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Tehrani, Alireza, Zeng, Bei, and Pereira, Rajesh
- Subjects
Coherent Information ,Quantum Channel ,Quantum Information ,Quantum Capacity ,Computer Science::Information Theory - Abstract
The coherent information of quantum channels plays a important role in quantum information theory as it can be used to calculate the quantum capacity of a channel. However, it is a non-linear, non-differentiable optimization problem. This thesis discusses that by restricting to the space of positive definite density matrices and restricting the class of quantum channels to be strictly positive, the coherent information becomes differentiable. This allows the computation of the Riemannian gradient and Hessian of the coherent information. It will be shown that the maximally mixed state is a critical point for the $n$-shot coherent information of the Pauli, dephrasure and Pauli-erasure channels. In addition, the classification of the maximally mixed state as a local maxima/minima and saddle-point will be solved for the one shot coherent information. The hope of this work is to provide a new avenue to explore the quantum capacity problem.
- Published
- 2019
23. Purely Quantum Polar Codes
- Author
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Ashutosh K. Goswami, Valentin Savin, Mehdi Mhalla, Frédéric Dupuis, Département d'Informatique et de Recherche Opérationnelle [Montreal] (DIRO), Université de Montréal (UdeM), Laboratoire Lorrain de Recherche en Informatique et ses Applications (LORIA), Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Leibniz (Leibniz - IMAG), Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique de Grenoble (INPG)-Université Joseph Fourier - Grenoble 1 (UJF), Commissariat à l'énergie atomique et aux énergies alternatives - Laboratoire d'Electronique et de Technologie de l'Information (CEA-LETI), Direction de Recherche Technologique (CEA) (DRT (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA), ANR-15-IDEX-0002,UGA,IDEX UGA(2015), Designing the Future of Computational Models (MOCQUA), Inria Nancy - Grand Est, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Department of Formal Methods (LORIA - FM), Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Laboratoire Lorrain de Recherche en Informatique et ses Applications (LORIA), Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Informatique de Grenoble (LIG ), Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), Université Joseph Fourier - Grenoble 1 (UJF)-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS), Mhalla, Mehdi, and IDEX UGA - - UGA2015 - ANR-15-IDEX-0002 - IDEX - VALID
- Subjects
Computer science ,[INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS] ,[INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS] ,020206 networking & telecommunications ,02 engineering and technology ,Quantum entanglement ,Coherent information ,Quantum channel ,Data_CODINGANDINFORMATIONTHEORY ,Topology ,01 natural sciences ,symbols.namesake ,Pauli exclusion principle ,0103 physical sciences ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,Communication source ,010306 general physics ,Quantum ,Decoding methods ,Communication channel ,Computer Science::Information Theory - Abstract
36 pages, 7 figures, second version extending [v1] Submitted to IEEE Transactions on Informations Theory; International audience; We provide a purely quantum version of polar codes, achieving the coherent information of any quantum channel. Our scheme relies on a recursive channel combining and splitting construction, where a two-qubit gate randomly chosen from the Clifford group is used to combine two single-qubit channels. The inputs to the synthesized bad channels are frozen by preshared EPR pairs between the sender and the receiver, so our scheme is entanglement assisted. We further show that quantum polarization can be achieved by choosing the channel combining Clifford operator randomly, from a much smaller subset of only 9 two-qubit Clifford gates. Subsequently, we show that a Pauli channel polarizes if and only if a specific classical channel over four symbol input set polarizes. We exploit this equivalence to prove fast polarization for Pauli channels, and to devise an efficient successive cancellation based decoding algorithm for such channels. Finally, we present a code construction based on chaining several quantum polar codes, which is shown to require a rate of preshared entanglement that vanishes asymptotically.
- Published
- 2019
24. Polarization of Quantum Channels using Clifford-based Channel Combining
- Author
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Mehdi Mhalla, Valentin Savin, Frédéric Dupuis, and Ashutosh Goswami
- Subjects
Physics ,Quantum Physics ,FOS: Physical sciences ,020206 networking & telecommunications ,02 engineering and technology ,Quantum entanglement ,Coherent information ,Quantum channel ,Data_CODINGANDINFORMATIONTHEORY ,Library and Information Sciences ,Topology ,Computer Science Applications ,symbols.namesake ,Pauli exclusion principle ,Computer Science::Emerging Technologies ,Quantum state ,Qubit ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,Quantum Physics (quant-ph) ,Decoding methods ,Information Systems ,Communication channel ,Computer Science::Information Theory - Abstract
We provide a purely quantum version of polar codes, achieving the symmetric coherent information of any qubit-input quantum channel. Our scheme relies on a recursive channel combining and splitting construction, where a two-qubit gate randomly chosen from the Clifford group is used to combine two single-qubit channels. The inputs to the synthesized bad channels are frozen by preshared EPR pairs between the sender and the receiver, so our scheme is entanglement assisted. We further show that quantum polarization can be achieved by choosing the channel combining Clifford operator randomly, from a much smaller subset of only nine two-qubit Clifford gates. Subsequently, we show that a Pauli channel polarizes if and only if a specific classical channel over a four-symbol input set polarizes. We exploit this equivalence to prove fast polarization for Pauli channels, and to devise an efficient successive cancellation based decoding algorithm for such channels. Finally, we present a code construction based on chaining several quantum polar codes, which is shown to require a rate of preshared entanglement that vanishes asymptotically., 38 pages, 6 figures
- Published
- 2019
25. Cryptography in coherent optical information networks using dissipative metamaterial gates
- Author
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Nikolay I. Zheludev, Eric Plum, Angelos Xomalis, Iosif Demirtzioglou, Yongmin Jung, Periklis Petropoulos, Cosimo Lacava, David J. Richardson, School of Physical and Mathematical Sciences, and Centre for Disruptive Photonic Technologies (CDPT)
- Subjects
lcsh:Applied optics. Photonics ,Dissipative Metamaterial Gates ,Computer Networks and Communications ,Computer science ,business.industry ,Bandwidth (signal processing) ,Key distribution ,lcsh:TA1501-1820 ,Physics::Optics ,Cryptography ,Coherent information ,Encryption ,Atomic and Molecular Physics, and Optics ,Photonic metamaterial ,Secure communication ,Physics [Science] ,Electronic engineering ,Metamaterial absorber ,business ,Computer Science::Cryptography and Security - Abstract
All-optical encryption of information in fibre telecommunication networks offers lower complexity and far higher data rates than electronic encryption can deliver. However, existing optical layer encryption methods, which are compatible with keys of unlimited length, are based on nonlinear processes that require intense optical fields. Here, we introduce an optical layer secure communication protocol that does not rely on nonlinear optical processes but instead uses energy redistribution of coherent optical waves interacting on a plasmonic metamaterial absorber. We implement the protocol in a telecommunication optical fibre information network, where signal and key distribution lines use a common coherent information carrier. We investigate and demonstrate different encryption modes, including a scheme providing perfect secrecy. All-optical cryptography, as demonstrated here, exploits signal processing mechanisms that can satisfy optical telecom data rate requirements in any current or next-generation frequency band with bandwidth exceeding 100 THz and a switching energy of a few photons per bit. This is the first demonstration of an optical telecommunications application of metamaterial technology. MOE (Min. of Education, S’pore) Published version
- Published
- 2019
26. A Framework of Information Security Integrated with Human Factors
- Author
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Pilsung Choe and Ahmed I. Al-Darwish
- Subjects
Process management ,business.industry ,Process (engineering) ,05 social sciences ,Information security culture ,Coherent information ,Information security ,Information security management ,050105 experimental psychology ,Security challenges ,Technological factors ,Information system ,Organizational security ,0501 psychology and cognitive sciences ,Confidentiality ,Organizational factors ,Business ,Senior management ,Human factors ,050107 human factors ,Risk management - Abstract
Information systems support organizations to achieve strategic competitiveness over other organizations and assist senior management in the decision-making process. In addition, they help organizations in timely implementation of projects and effective risk management. A reliable and coherent Information System requires a solid security framework that ensures Confidentiality, Integrity, Availability, Authenticity and Auditability of the critical information assets; therefore, managing security is essential for organizations doing business in a globally networked and competitive environment whilst seeking to achieve their objectives and goals and ensuring the continuity of business. This paper provides an integrated framework that classifies and holistic view of challenges in Information Security Systems, and their interrelationships. The framework is expected to provide a basis that can be used to evaluate individual organizational members' behavior and the adequateness of existing security measures. Scopus
- Published
- 2019
27. Quantum Codes from Neural Networks
- Author
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Johannes Bausch, Felix Leditzky, Bausch, Johannes [0000-0003-3189-9162], Leditzky, Felix [0000-0002-1073-9795], and Apollo - University of Cambridge Repository
- Subjects
Paper ,FOS: Computer and information sciences ,Computer Science - Machine Learning ,Computer Science - Artificial Intelligence ,General Physics and Astronomy ,FOS: Physical sciences ,Coherent information ,Quantum capacity ,quantum capacity ,Topology ,01 natural sciences ,Multipartite entanglement ,010305 fluids & plasmas ,quantum information transmission ,Machine Learning (cs.LG) ,Quantum error correction ,Quantum state ,0103 physical sciences ,superadditivity of coherent information ,Quantum information ,010306 general physics ,Amplitude damping channel ,Ansatz ,Physics ,Quantum Physics ,global optimization techniques ,Disordered Systems and Neural Networks (cond-mat.dis-nn) ,Condensed Matter - Disordered Systems and Neural Networks ,81P45, 94A17, 68T05 ,neural networks states ,quantum error-correcting codes ,Artificial Intelligence (cs.AI) ,Quantum Physics (quant-ph) - Abstract
Funder: Draper’s Company Research Fellowship, We examine the usefulness of applying neural networks as a variational state ansatz for many-body quantum systems in the context of quantum information-processing tasks. In the neural network state ansatz, the complex amplitude function of a quantum state is computed by a neural network. The resulting multipartite entanglement structure captured by this ansatz has proven rich enough to describe the ground states and unitary dynamics of various physical systems of interest. In the present paper, we initiate the study of neural network states in quantum information-processing tasks. We demonstrate that neural network states are capable of efficiently representing quantum codes for quantum information transmission and quantum error correction, supplying further evidence for the usefulness of neural network states to describe multipartite entanglement. In particular, we show the following main results: (a) neural network states yield quantum codes with a high coherent information for two important quantum channels, the generalized amplitude damping channel and the dephrasure channel. These codes outperform all other known codes for these channels, and cannot be found using a direct parametrization of the quantum state. (b) For the depolarizing channel, the neural network state ansatz reliably finds the best known codes given by repetition codes. (c) Neural network states can be used to represent absolutely maximally entangled states, a special type of quantum error-correcting codes. In all three cases, the neural network state ansatz provides an efficient and versatile means as a variational parametrization of these highly entangled states.
- Published
- 2018
28. Detecting personality and emotion traits in crowds from video sequences
- Author
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Rodolfo Migon Favaretto, Paulo Knob, Felipe Vilanova, Ângelo Brandelli Costa, and Soraia Raupp Musse
- Subjects
FOS: Computer and information sciences ,Computer science ,media_common.quotation_subject ,Computer Vision and Pattern Recognition (cs.CV) ,Computer Science - Computer Vision and Pattern Recognition ,020206 networking & telecommunications ,Video sequence ,02 engineering and technology ,Coherent information ,Computer Science Applications ,Crowds ,Personal space ,Hardware and Architecture ,Cultural diversity ,0202 electrical engineering, electronic engineering, information engineering ,Personality ,020201 artificial intelligence & image processing ,Computer Vision and Pattern Recognition ,Software ,Cognitive psychology ,media_common - Abstract
This paper presents a methodology to detect personality and basic emotion characteristics of crowds in video sequences. Firstly, individuals are detected and tracked, then groups are recognized and characterized. Such information is then mapped to OCEAN dimensions, used to find out personality and emotion in videos, based on OCC emotion models. Although it is a clear challenge to validate our results with real life experiments, we evaluate our method with the available literature information regarding OCEAN values of different Countries and also emergent Personal distance among people. Hence, such analysis refer to cultural differences of each country too. Our results indicate that this model generates coherent information when compared to data provided in available literature, as shown in qualitative and quantitative results.
- Published
- 2018
29. Universal quantum uncertainty relations between non-ergodicity and loss of information
- Author
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Aditi Sen, Natasha Awasthi, Samyadeb Bhattacharya, and Ujjwal Sen
- Subjects
Quantum discord ,Quantum Physics ,FOS: Physical sciences ,Coherent information ,Quantum capacity ,Quantum channel ,01 natural sciences ,010305 fluids & plasmas ,Quantum state ,Qubit ,Quantum process ,Quantum mechanics ,0103 physical sciences ,Trace distance ,Statistical physics ,Quantum Physics (quant-ph) ,010306 general physics ,Mathematics - Abstract
We establish uncertainty relations between information loss in general open quantum systems and the amount of non-ergodicity of the corresponding dynamics. The relations hold for arbitrary quantum systems interacting with an arbitrary quantum environment. The elements of the uncertainty relations are quantified via distance measures on the space of quantum density matrices. The relations hold for arbitrary distance measures satisfying a set of intuitively satisfactory axioms. The relations show that as the non-ergodicity of the dynamics increases, the lower bound on information loss decreases, which validates the belief that non-ergodicity plays an important role in preserving information of quantum states undergoing lossy evolution. We also consider a model of a central qubit interacting with a fermionic thermal bath and derive its reduced dynamics, to subsequently investigate the information loss and nonergodicity in such dynamics. We comment on the minimal situations that saturate the uncertainty relations., 8 pages, 6 figures
- Published
- 2017
30. A Sparse Manifold Classification Method Based on a Multi-Dimensional Descriptive Primitive of Polarimetric SAR Image Time Series
- Author
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Juan Du, Chu He, Gong Han, Di Feng, and Mingsheng Liao
- Subjects
Feature vector ,Geography, Planning and Development ,Feature extraction ,0211 other engineering and technologies ,Polarimetry ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,lcsh:G1-922 ,02 engineering and technology ,Coherent information ,0202 electrical engineering, electronic engineering, information engineering ,Earth and Planetary Sciences (miscellaneous) ,Computer vision ,multi-dimensional descriptive primitive ,Computers in Earth Sciences ,Physics::Atmospheric and Oceanic Physics ,compressed sensing ,021101 geological & geomatics engineering ,Mathematics ,polarimetric SAR time series ,sparse manifold expression ,Contextual image classification ,business.industry ,Dimensionality reduction ,020206 networking & telecommunications ,Pattern recognition ,image classification ,Support vector machine ,Compressed sensing ,Artificial intelligence ,business ,lcsh:Geography (General) - Abstract
Classification using the rich information provided by time-series and polarimetric Synthetic Aperture Radar (SAR) images has attracted much attention. The key point is to effectively reveal the correlation between different dimensions of information and form a joint feature. In this paper, a multi-dimensional SAR descriptive primitive for each single pixel is firstly constructed, which in the polarimetric scale obtains incoherent information through target decompositions while in the time scale obtains coherent information through stochastic walk. Secondly, for the purpose of feature extraction and dimension reduction, a special feature space mapping for the descriptive primitive of the whole image is proposed based on sparse manifold expression and compressed sensing. Finally, the above feature is inputted into a support vector machine (SVM) classifier. This proposed method can inherently integrate the features of polarimetric SAR times series. Experiment results on three real time-series polarimetric SAR data sets show the effectiveness of our presented approach. The idea of a multi-dimensional descriptive primitive as a convenient tool also opens a new spectrum of potential for further processing of polarimetric SAR image time series.
- Published
- 2017
- Full Text
- View/download PDF
31. Useful states and entanglement distillation
- Author
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Graeme Smith, Felix Leditzky, and Nilanjana Datta
- Subjects
Discrete mathematics ,LOCC ,Quantum Physics ,FOS: Physical sciences ,020206 networking & telecommunications ,02 engineering and technology ,Coherent information ,Quantum entanglement ,Quantum capacity ,Library and Information Sciences ,Entropy of entanglement ,01 natural sciences ,Upper and lower bounds ,Computer Science Applications ,Qubit ,0103 physical sciences ,0202 electrical engineering, electronic engineering, information engineering ,Quantum Physics (quant-ph) ,010306 general physics ,Entanglement distillation ,Information Systems ,Mathematics - Abstract
We derive general upper bounds on the distillable entanglement of a mixed state under one-way and two-way LOCC. In both cases, the upper bound is based on a convex decomposition of the state into 'useful' and 'useless' quantum states. By 'useful', we mean a state whose distillable entanglement is non-negative and equal to its coherent information (and thus given by a single-letter, tractable formula). On the other hand, 'useless' states are undistillable, i.e., their distillable entanglement is zero. We prove that in both settings the distillable entanglement is convex on such decompositions. Hence, an upper bound on the distillable entanglement is obtained from the contributions of the useful states alone, being equal to the convex combination of their coherent informations. Optimizing over all such decompositions of the input state yields our upper bound. The useful and useless states are given by degradable and antidegradable states in the one-way LOCC setting, and by maximally correlated and PPT states in the two-way LOCC setting, respectively. We also illustrate how our method can be extended to quantum channels. Interpreting our upper bound as a convex roof extension, we show that it reduces to a particularly simple, non-convex optimization problem for the classes of isotropic states and Werner states. In the one-way LOCC setting, this non-convex optimization yields an upper bound on the quantum capacity of the qubit depolarizing channel that is strictly tighter than previously known bounds for large values of the depolarizing parameter. In the two-way LOCC setting, the non-convex optimization achieves the PPT-relative entropy of entanglement for both isotropic and Werner states., 36 pages, 4 figures, 2 tables, comments welcome. v2: title change, includes new results about entanglement distillation under two-way LOCC and distillable entanglement of states with symmetries. v3: references updated. v4: accepted for publication in IEEE Transactions on Information Theory, added comparison to SDP bound from arXiv:1601.07940
- Published
- 2017
32. Realism and Antirealism in Informational Foundations of Quantum Theory
- Author
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Tina Bilban
- Subjects
Observer (quantum physics) ,Philosophy ,Coherent information ,Quantum entanglement ,Complementarity (physics) ,Atomic and Molecular Physics, and Optics ,Quantum indeterminacy ,Bohr model ,Epistemology ,symbols.namesake ,History and Philosophy of Science ,Quantum mechanics ,symbols ,lcsh:Q ,Quantum information science ,lcsh:Science ,Mathematical Physics ,No-communication theorem - Abstract
Zeilinger-Brukner's informational foundations of quantum theory, a theory based on Zeilinger's foundational principle for quantum mechanics that an elementary system carried one bit of information, explains seemingly unintuitive quantum behavior with simple theoretical framework. It is based on the notion that distinction between reality and information cannot be made, therefore they are the same. As the critics of informational foundations of quantum theory show, this antirealistic move captures the theory in tautology, where information only refers to itself, while the relationships outside the information with the help of which the nature of information would be defined are lost and the questions "Whose information? Information about what?" cannot be answered. The critic's solution is a return to realism, where the observer's effects on the information are neglected. We show that radical antirealism of informational foundations of quantum theory is not necessary and that the return to realism is not the only way forward. A comprehensive approach that exceeds mere realism and antirealism is also possible: we can consider both sources of the constraints on the information, those coming from the observer and those coming from the observed system/nature/reality. The information is always the observer's information about the observed. Such a comprehensive philosophical approach can still support the theoretical framework of informational foundations of quantum theory: If we take that one bit is the smallest amount of information in the form of which the observed reality can be grasped by the observer, we can say that an elementary system (grasped and defined as such by the observer) correlates to one bit of information. Our approach thus explains all the features of the quantum behavior explained by informational foundations of quantum theory: the wave function and its collapse, entanglement, complementarity and quantum randomness. However, it does so in a more comprehensive and intuitive way. The presented approach is close to Husserl's explanation of the relationship between reality and the knowledge we have about it, and to Bohr's personal explanation of quantum mechanics, the complexity of which has often been missed and simplified to mere antirealism. Our approach thus reconnects phenomenology with contemporary philosophy of science and introduces the comprehensive approach that exceeds mere realism and antirealism to the field of quantum theories with informational foundations, where such an approach has not been taken before. Quanta 2014; 3: 32–42.
- Published
- 2014
33. Information Entropy As a Basic Building Block of Complexity Theory
- Author
-
Feiyan Liu, Jianbo Gao, Jianfang Zhang, Jing Hu, and Yinhe Cao
- Subjects
Theoretical computer science ,chaos ,Complex system ,Maximum entropy thermodynamics ,General Physics and Astronomy ,information entropy ,complexity theory ,lcsh:Astrophysics ,Coherent information ,multiscale analysis ,Chaos theory ,lcsh:QC1-999 ,Information diagram ,Combinatorics ,Fractal ,fractal ,lcsh:QB460-466 ,thermodynamic entropy ,emergence ,Entropy (information theory) ,lcsh:Q ,lcsh:Science ,lcsh:Physics ,Mathematics - Abstract
What is information? What role does information entropy play in this information exploding age, especially in understanding emergent behaviors of complex systems? To answer these questions, we discuss the origin of information entropy, the difference between information entropy and thermodynamic entropy, the role of information entropy in complexity theories, including chaos theory and fractal theory, and speculate new fields in which information entropy may play important roles.
- Published
- 2013
34. Dynamical maps, quantum detailed balance and Petz recovery map
- Author
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Mischa P. Woods and Álvaro M. Alhambra
- Subjects
Physics ,Quantum discord ,Quantum Physics ,010102 general mathematics ,Coherent information ,01 natural sciences ,Quantum relative entropy ,Generalized relative entropy ,Classical mechanics ,Quantum state ,0103 physical sciences ,0101 mathematics ,Quantum information ,010306 general physics ,Entropy (arrow of time) ,Joint quantum entropy - Abstract
Markovian master equations (formally known as quantum dynamical semigroups) can be used to describe the evolution of a quantum state $\rho$ when in contact with a memoryless thermal bath. This approach has had much success in describing the dynamics of real-life open quantum systems in the lab. Such dynamics increase the entropy of the state $\rho$ and the bath until both systems reach thermal equilibrium, at which point entropy production stops. Our main result is to show that the entropy production at time $t$ is bounded by the relative entropy between the original state and the state at time $2t$. The bound puts strong constraints on how quickly a state can thermalise, and we prove that the factor of $2$ is tight. The proof makes use of a key physically relevant property of these dynamical semigroups -- detailed balance, showing that this property is intimately connected with the field of recovery maps from quantum information theory. We envisage that the connections made here between the two fields will have further applications. We also use this connection to show that a similar relation can be derived when the fixed point is not thermal., Comment: main text: 5 pages. Appendix: 11 pages. V3: The conjectures in V2 have been proven. This is close to the journal published version, but with improved citations
- Published
- 2016
35. Non-equilibrium statistical mechanics inspired by modern information theory
- Author
-
Oscar C. O. Dahlsten
- Subjects
Information algebra ,Computer science ,General Physics and Astronomy ,lcsh:Astrophysics ,Coherent information ,Von Neumann entropy ,Statistical mechanics ,Information theory ,Maxwell’s daemon ,lcsh:QC1-999 ,non-equilibrium statistical mechanics ,lcsh:QB460-466 ,Entropy (information theory) ,lcsh:Q ,Statistical physics ,Daemon ,Quantum mutual information ,lcsh:Science ,lcsh:Physics ,single-shot information theory - Abstract
A collection of recent papers revisit how to quantify the relationship between information and work in the light of modern information theory, so-called single-shot information theory. This is an introduction to those papers, from the perspective of the author. Many of the results may be viewed as a quantification of how much work a generalized Maxwell’s daemon can extract as a function of its extra information. These expressions do not in general involve the Shannon/von Neumann entropy but rather quantities from single-shot information theory. In a limit of large systems composed of many identical and independent parts the Shannon/von Neumann entropy is recovered.
- Published
- 2016
36. Editorial: Quantum Structures in Cognitive and Social Science
- Author
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Liane Gabora, Sandro Sozzo, Diederik Aerts, Jean Broekaert, Mathematics, Centre Leo Apostel, Foundations of the Exact Science, and Applied Economics
- Subjects
0301 basic medicine ,Cognitive model ,Computer science ,Categorical quantum mechanics ,human cognition ,lcsh:BF1-990 ,Coherent information ,quantum cognition ,Decision theory ,Cognitive modeling ,03 medical and health sciences ,Quantum structures ,Psychology ,Quantum cognition ,decision theory ,Social science ,Quantum information science ,General Psychology ,Quantum computer ,cognitive modeling ,lcsh:Psychology ,030104 developmental biology ,Psychologie ,Human cognition ,Prototype theory ,quantum structures ,Relational approach to quantum physics - Abstract
SCOPUS: ed.j, info:eu-repo/semantics/published
- Published
- 2016
- Full Text
- View/download PDF
37. Strengthened Monotonicity of Relative Entropy via Pinched Petz Recovery Map
- Author
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David Sutter, Marco Tomamichel, Aram W. Harrow, Massachusetts Institute of Technology. Department of Physics, and Harrow, Aram W
- Subjects
Pure mathematics ,Kullback–Leibler divergence ,Logarithm ,FOS: Physical sciences ,Quantum channel ,02 engineering and technology ,Coherent information ,Library and Information Sciences ,Strong Subadditivity of Quantum Entropy ,01 natural sciences ,Generalized relative entropy ,0103 physical sciences ,0202 electrical engineering, electronic engineering, information engineering ,Convex combination ,0101 mathematics ,010306 general physics ,Quantum mutual information ,Amplitude damping channel ,Mathematical Physics ,Mathematics ,Discrete mathematics ,Quantum Physics ,Operator (physics) ,010102 general mathematics ,Min entropy ,020206 networking & telecommunications ,State (functional analysis) ,Mathematical Physics (math-ph) ,Quantum relative entropy ,Computer Science Applications ,Bounded function ,Networking & Telecommunications ,Quantum Physics (quant-ph) ,Joint quantum entropy ,Information Systems - Abstract
The quantum relative entropy between two states satisfies a monotonicity property meaning that applying the same quantum channel to both states can never increase their relative entropy. It is known that this inequality is only tight when there is a recovery map that exactly reverses the effects of the quantum channel on both states. In this paper, we strengthen this inequality by showing that the difference of relative entropies is bounded below by the measured relative entropy between the first state and a recovered state from its processed version. The recovery map is a convex combination of rotated Petz recovery maps and perfectly reverses the quantum channel on the second state. As a special case, we reproduce recent lower bounds on the conditional mutual information, such as the one proved by Fawzi and Renner. Our proof only relies on the elementary properties of pinching maps and the operator logarithm., National Science Foundation (U.S.) (CF-1111382), National Science Foundation (U.S.) (CF-1452616), United States. Army Research Office (W911NF-12-1- 0486)
- Published
- 2016
38. Form factor ratio from unpolarized elastic electron-proton scattering
- Author
-
Egle Tomasi-Gustafsson and S. Pacetti
- Subjects
Elastic scattering ,Physics ,Nuclear and High Energy Physics ,Nuclear Theory ,010308 nuclear & particles physics ,Scattering ,FOS: Physical sciences ,Observable ,Coherent information ,Polarization (waves) ,01 natural sciences ,Computational physics ,Nuclear Theory (nucl-th) ,High Energy Physics - Phenomenology ,Dipole ,High Energy Physics - Phenomenology (hep-ph) ,Classical mechanics ,0103 physical sciences ,Magnetic form factor ,Nuclear Experiment ,010306 general physics ,Coherence (physics) - Abstract
A reanalysis of unpolarized electron-proton elastic scattering data is done in terms of the electric to magnetic form factor squared ratio. This observable is in principle more robust against experimental correlations and global normalizations. The present analysis shows indeed that it is a useful quantity that contains reliable and coherent information. The comparison with the ratio extracted from the measurement of the longitudinal to transverse polarization of the recoil proton in polarized electron-proton scattering shows that the results are compatible within the experimental errors. Limits are set on the kinematics where the physical information on the form factors can be safely extracted. The results presented in this work bring a decisive piece of information to the controversy on the deviation of the proton form factors from the dipole dependence., 18 pages 13 figures, 11 tables- Updated version for Phys. Rev. C
- Published
- 2016
39. What is Quantum Information?
- Author
-
Leonardo Vanni, Federico Holik, Olimpia Lombardi, and Centre Leo Apostel
- Subjects
History ,Teleportation ,Information algebra ,Quantum information ,Ciencias Físicas ,von Neumann entropy ,General Physics and Astronomy ,Coding theorems ,Coherent information ,Quantum channel ,Quantum capacity ,Neumann entropy ,01 natural sciences ,010305 fluids & plasmas ,Open quantum system ,History and Philosophy of Science ,Quantum mechanics ,0103 physical sciences ,Schumacher ,010306 general physics ,Quantum information science ,Physics ,Shannon entropy ,Física ,Epistemology ,Astronomía ,Coding theorems, Quantum information, Schumacher, Shannon entropy, Teleportation, von Neumann entropy ,Shannon entropyvon ,No-teleportation theorem ,CIENCIAS NATURALES Y EXACTAS - Abstract
In the present article we address the question 'What is quantum information?' from a conceptual viewpoint. In particular, we argue that there seems to be no sufficiently good reasons to accept that quantum information is qualitatively different from classical information. The view that, in the communicational context, there is only one kind of information, physically neutral, which can be encoded by means of classical or quantum states has, in turn, interesting conceptual advantages. First, it dissolves the widely discussed puzzles of teleportation without the need to assume a particular interpretation of information. Second, and from a more general viewpoint, it frees the attempts to reconstruct quantum mechanics on the basis of informational constraints from any risk of circularity; furthermore, it endows them with a strong conceptual appealing and, derivatively, opens the way to the possibility of a non-reductive unification of physics. Finally, in the light of the idea of the physical neutrality of information, the wide field of research about classical models for quantum information acquires a particular conceptual and philosophical interest., Instituto de Física La Plata
- Published
- 2016
40. Universal recoverability in quantum information
- Author
-
Mark M. Wilde, Renato Renner, Marius Junge, Andreas Winter, and David Sutter
- Subjects
Quantum discord ,Mathematical analysis ,TheoryofComputation_GENERAL ,Quantum capacity ,Coherent information ,01 natural sciences ,GeneralLiterature_MISCELLANEOUS ,Quantum relative entropy ,010305 fluids & plasmas ,Classical capacity ,Generalized relative entropy ,ComputerApplications_GENERAL ,0103 physical sciences ,Statistical physics ,010306 general physics ,Amplitude damping channel ,Joint quantum entropy ,Computer Science::Information Theory ,Mathematics - Abstract
2016 IEEE International Symposium on Information Theory (ISIT), ISBN:978-1-5090-1806-2
- Published
- 2016
41. Coherent state constellations for Bosonic Gaussian channels
- Author
-
Volkher B. Scholz, Felipe Lacerda, and Joseph M. Renes
- Subjects
Physics ,business.industry ,020206 networking & telecommunications ,02 engineering and technology ,Coherent information ,Quantum capacity ,Quantum channel ,01 natural sciences ,Classical capacity ,symbols.namesake ,Additive white Gaussian noise ,Gaussian noise ,0103 physical sciences ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,Statistical physics ,Quantum information ,010306 general physics ,Telecommunications ,business ,Amplitude damping channel ,Computer Science::Information Theory - Abstract
We propose constellations of finitely-many coherent states for high-rate quantum and classical communication over the thermal noise Bosonic Gaussian channel. Our constructions are based on constellations for the classical additive white Gaussian noise (AWGN) channel, and we adapt the results of Wu and Verdu [Allerton 2010, pp. 620] for the AWGN to determine achievable rates of classical and quantum information transmission for the thermal noise channel. Several constellations allow classical rates approaching the classical capacity, recently determined by Giovannetti et al. [Nature Photonics 8, 796 (2014)], while in the quantum case the rates approach the Gaussian coherent information. The constellations can also be used for private transmission of classical information at the coherent information rate.
- Published
- 2016
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- View/download PDF
42. On a Connection between Information and Group Lattices
- Author
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Hua Li and Edwin K. P. Chong
- Subjects
Information algebra ,information lattice ,information law ,General Physics and Astronomy ,lcsh:Astrophysics ,02 engineering and technology ,Coherent information ,Information theory ,01 natural sciences ,Joint entropy ,010104 statistics & probability ,isomorphism ,joint information ,common information ,lcsh:QB460-466 ,0202 electrical engineering, electronic engineering, information engineering ,Entropy (information theory) ,0101 mathematics ,lcsh:Science ,Mathematics ,Discrete mathematics ,information element ,020206 networking & telecommunications ,lcsh:QC1-999 ,Interaction information ,Information diagram ,subgroup lattice ,lcsh:Q ,Variation of information ,entropy ,information inequality ,lcsh:Physics - Abstract
In this paper we review a particular connection between information theory and group theory. We formalize the notions of information elements and information lattices, first proposed by Shannon. Exploiting this formalization, we expose a comprehensive parallelism between information lattices and subgroup lattices. Qualitatively, isomorphisms between information lattices and subgroup lattices are demonstrated. Quantitatively, a decisive approximation relation between the entropy structures of information lattices and the log-index structures of the corresponding subgroup lattices, first discovered by Chan and Yeung, is highlighted. This approximation, addressing both joint and common entropies, extends the work of Chan and Yeung on joint entropy. A consequence of this approximation result is that any continuous law holds in general for the entropies of information elements if and only if the same law holds in general for the log-indices of subgroups. As an application, by constructing subgroup counterexamples, we find surprisingly that common information, unlike joint information, obeys neither the submodularity nor the supermodularity law. We emphasize that the notion of information elements is conceptually significant—formalizing it helps to reveal the deep connection between information theory and group theory. The parallelism established in this paper admits an appealing group-action explanation and provides useful insights into the intrinsic structure among information elements from a group-theoretic perspective.
- Published
- 2011
43. A Dynamic Model of Information and Entropy
- Author
-
Michael C. Parker and Stuart D. Walker
- Subjects
Conditional entropy ,Physics ,General Physics and Astronomy ,lcsh:Astrophysics ,Coherent information ,Information theory ,Joint entropy ,lcsh:QC1-999 ,Binary entropy function ,thermodynamics ,Classical mechanics ,lcsh:QB460-466 ,Entropy (information theory) ,Transfer entropy ,lcsh:Q ,entropy ,lcsh:Science ,Joint quantum entropy ,lcsh:Physics ,information theory - Abstract
We discuss the possibility of a relativistic relationship between information and entropy, closely analogous to the classical Maxwell electro-magnetic wave equations. Inherent to the analysis is the description of information as residing in points of non-analyticity; yet ultimately also exhibiting a distributed characteristic: additionally analogous, therefore, to the wave-particle duality of light. At cosmological scales our vector differential equations predict conservation of information in black holes, whereas regular- and Z-DNA molecules correspond to helical solutions at microscopic levels. We further propose that regular- and Z-DNA are equivalent to the alternative words chosen from an alphabet to maintain the equilibrium of an information transmission system.
- Published
- 2010
44. Mutual information and the F -theorem
- Author
-
Horacio Casini, Alexandre Yale, Marina Huerta, and Robert C. Myers
- Subjects
Physics ,High Energy Physics - Theory ,Nuclear and High Energy Physics ,Field Theories in Lower Dimensions ,Ciencias Físicas ,FOS: Physical sciences ,Quantum entanglement ,Coherent information ,Mutual information ,purl.org/becyt/ford/1.3 [https] ,Renormalization group ,Conformal and W Symmetry ,Astronomía ,purl.org/becyt/ford/1 [https] ,High Energy Physics - Theory (hep-th) ,Topological Field Theories ,Quantum mechanics ,Entropy (information theory) ,Renormalization Group ,Statistical physics ,Quantum mutual information ,Scalar field ,CIENCIAS NATURALES Y EXACTAS ,Joint quantum entropy - Abstract
Mutual information is used as a purely geometrical regularization of entanglement entropy applicable to any QFT. A coefficient in the mutual information between concentric circular entangling surfaces gives a precise universal prescription for the monotonous quantity in the c-theorem for d=3. This is in principle computable using any regularization for the entropy, and in particular is a definition suitable for lattice models. We rederive the proof of the c-theorem for d=3 in terms of mutual information, and check our arguments with holographic entanglement entropy, a free scalar field, and an extensive mutual information model., 80 pages, 16 figures
- Published
- 2015
45. An improved scheme on decoy-state method for measurement-device-independent quantum key distribution
- Author
-
Guang-Can Guo, Mo Li, Qin Wang, and Dong Wang
- Subjects
Key generation ,Quantum network ,Quantitative Biology::Biomolecules ,Multidisciplinary ,Theoretical computer science ,Decoy state ,Computer science ,Quantum capacity ,Coherent information ,Quantum key distribution ,Topology ,Article ,Quantum algorithm ,Quantum information ,Secure transmission - Abstract
Quantum key distribution involving decoy-states is a significant application of quantum information. By using three-intensity decoy-states of single-photon-added coherent sources, we propose a practically realizable scheme on quantum key distribution which approaches very closely the ideal asymptotic case of an infinite number of decoy-states. We make a comparative study between this scheme and two other existing ones, i.e., two-intensity decoy-states with single-photon-added coherent sources and three-intensity decoy-states with weak coherent sources. Through numerical analysis, we demonstrate the advantages of our scheme in secure transmission distance and the final key generation rate.
- Published
- 2015
46. Generic emergence of classical features in quantum Darwinism
- Author
-
Marco Piani, Fernando G. S. L. Brandão, and Paweł Horodecki
- Subjects
Physics ,Quantum discord ,Quantum Physics ,Multidisciplinary ,Quantum dynamics ,General Physics and Astronomy ,FOS: Physical sciences ,General Chemistry ,Coherent information ,Quantum Darwinism ,General Biochemistry, Genetics and Molecular Biology ,Theoretical physics ,Open quantum system ,Quantum process ,Quantum information ,Quantum information science ,Quantum Physics (quant-ph) ,QC - Abstract
Quantum Darwinism explains the emergence of classical reality from the underlying quantum reality by the fact that a quantum system is observed indirectly, by looking at parts of its environment, so that only specific information about the system that is redundantly proliferated to many parts of the environment becomes accessible and objective. However it is not clear under what conditions this mechanism holds true. Here we rigorously prove that the emergence of classicality is a general feature of any quantum dynamics: observers who acquire information about a quantum system indirectly have access at most to classical information about one and the same measurement of the quantum system; moreover, if such information is available to many observers, they necessarily agree. Remarkably, our analysis goes beyond the system-environment categorization. We also provide a full characterization of the so-called quantum discord in terms of local redistribution of correlations., Closer to published version
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- 2015
47. Quantum Conditional Mutual Information, Reconstructed States, and State Redistribution
- Author
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Jonathan Oppenheim, Fernando G. S. L. Brandão, Sergii Strelchuk, Aram W. Harrow, Strelchuk, Sergii [0000-0001-8390-3034], and Apollo - University of Cambridge Repository
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Conditional entropy ,Physics ,Quantum Physics ,Quantum discord ,General Physics and Astronomy ,FOS: Physical sciences ,Coherent information ,16. Peace & justice ,Strong Subadditivity of Quantum Entropy ,01 natural sciences ,Quantum relative entropy ,Generalized relative entropy ,quant-ph ,Quantum mechanics ,0103 physical sciences ,010307 mathematical physics ,Statistical physics ,010306 general physics ,Quantum mutual information ,Quantum Physics (quant-ph) ,Joint quantum entropy - Abstract
We give two strengthenings of an inequality for the quantum conditional mutual information of a tripartite quantum state recently proved by Fawzi and Renner, connecting it with the ability to reconstruct the state from its bipartite reductions. Namely we show that the conditional mutual information is an upper bound on the regularised relative entropy distance between the quantum state and its reconstructed version. It is also an upper bound for the measured relative entropy distance of the state to its reconstructed version. The main ingredient of the proof is the fact that the conditional mutual information is the optimal quantum communication rate in the task of state redistribution., Comment: 6 pages, 1 figure. v3 minor fixes and some added explanation. v4. minor fixes. Published version
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- 2015
48. Information kinetics -- an extension
- Author
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Wolfgang Baumjohann and Rudolf A. Treumann
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Kolmogorov entropy ,51.30.+i ,Materials Science (miscellaneous) ,Biophysics ,Information: Operator formalism ,General Physics and Astronomy ,Coherent information ,Kolmogorov entropy PACS: 45.70.−n ,Upper and lower bounds ,Liouville theory ,information ,Theoretical physics ,Operator (computer programming) ,Information theory and measure theory ,Kinetic theory ,95.30.Tg ,52.25.Kn ,Physical and Theoretical Chemistry ,Quantum mutual information ,Mathematical Physics ,Physics ,Information ,lcsh:QC1-999 ,Information diagram ,dynamics of information ,Planck time ,Joint quantum entropy ,lcsh:Physics - Abstract
We present an operator formalism for the recently developed kinetic information theory, construct Poisson brackets between the Liouville L and information Ĩ operators in μ space, proposing its quantum version. Making use of the universal quantum of time, the Planck time τp, a pseudo-energy-time uncertainty relation is constructed. It suggests that tiny amounts of information production may cause large variations in energy. The Hubble time τH sets an upper bound on information in the universe.
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- 2015
- Full Text
- View/download PDF
49. Rényi generalizations of quantum information measures
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Mark M. Wilde, Kaushik P. Seshadreesan, and Mario Berta
- Subjects
High Energy Physics - Theory ,STRONG CONVERSE ,Computer Science - Information Theory ,math-ph ,SQUASHED ENTANGLEMENT ,02 engineering and technology ,Coherent information ,Physics, Atomic, Molecular & Chemical ,Strong Subadditivity of Quantum Entropy ,01 natural sciences ,CAPACITY ,math.MP ,CHANNEL ,quant-ph ,Quantum mechanics ,cs.IT ,0103 physical sciences ,STRONG SUBADDITIVITY ,0202 electrical engineering, electronic engineering, information engineering ,math.IT ,Quantum information ,010306 general physics ,Quantum mutual information ,Mathematical Physics ,Discrete mathematics ,Physics ,Conditional entropy ,CODING THEOREM ,Quantum Physics ,Quantum discord ,Science & Technology ,hep-th ,AREA ,ENTROPY ,Optics ,020206 networking & telecommunications ,Atomic and Molecular Physics, and Optics ,Quantum relative entropy ,STATES ,Computer Science::Sound ,Physical Sciences ,Joint quantum entropy - Abstract
Quantum information measures such as the entropy and the mutual information find applications in physics, e.g., as correlation measures. Generalizing such measures based on the R\'enyi entropies is expected to enhance their scope in applications. We prescribe R\'enyi generalizations for any quantum information measure which consists of a linear combination of von Neumann entropies with coefficients chosen from the set {-1,0,1}. As examples, we describe R\'enyi generalizations of the conditional quantum mutual information, some quantum multipartite information measures, and the topological entanglement entropy. Among these, we discuss the various properties of the R\'enyi conditional quantum mutual information and sketch some potential applications. We conjecture that the proposed R\'enyi conditional quantum mutual informations are monotone increasing in the R\'enyi parameter, and we have proofs of this conjecture for some special cases., Comment: 9 pages, related to and extends the results from arXiv:1403.6102
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- 2015
50. Multimode quantum entropy power inequality
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G. De Palma, Vittorio Giovannetti, Seth Lloyd, Andrea Mari, DE PALMA, Giacomo, Mari, Andrea, Lloyd, S., Giovannetti, Vittorio, DE PALMA, GIACOMO, MARI, ANDREA, and GIOVANNETTI, VITTORIO
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Physics ,quantum Shannon theory ,Quantum discord ,Coherent information ,Quantum entanglement ,Atomic and Molecular Physics, and Optics ,Quantum relative entropy ,Generalized relative entropy ,Entropy power inequality ,Quantum mechanics ,Quantum information ,Settore MAT/07 - Fisica Matematica ,Joint quantum entropy - Abstract
The quantum version of a fundamental entropic data-processing inequality is presented. It establishes a lower bound for the entropy that can be generated in the output channels of a scattering process, which involves a collection of independent input bosonic modes (e.g., the modes of the electromagnetic field). The impact of this inequality in quantum information theory is potentially large and some relevant implications are considered in this work.
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- 2015
- Full Text
- View/download PDF
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