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Limit of Gaussian operations and measurements for Gaussian state discrimination, and its application to state comparison
- Source :
- Roberson, D E, Izumi, S, Roga, W, Neergaard-Nielsen, J S, Takeoka, M & Andersen, U L 2021, ' Limit of Gaussian operations and measurements for Gaussian state discrimination and its application to state comparison ', Physical Review A, vol. 103, no. 2, 022423 . https://doi.org/10.1103/PhysRevA.103.022423, Physical Review A
- Publication Year :
- 2020
-
Abstract
- We determine the optimal method of discriminating and comparing quantum states from a certain class of multimode Gaussian states and their mixtures when arbitrary global Gaussian operations and general Gaussian measurements are allowed. We consider the so-called constant-$\hat{p}$ displaced states which include mixtures of multimode coherent states arbitrarily displaced along a common axis. We first show that no global or local Gaussian transformations or generalized Gaussian measurements can lead to a better discrimination method than simple homodyne measurements applied to each mode separately and classical postprocessing of the results. This result is applied to binary state comparison problems. We show that homodyne measurements, separately performed on each mode, are the best Gaussian measurement for binary state comparison. We further compare the performance of the optimal Gaussian strategy for binary coherent states comparison with these of non-Gaussian strategies using photon detections.<br />8 pages, 3 figures
- Subjects :
- Physics
Quantum Physics
Multi-mode optical fiber
Photon
Gaussian
FOS: Physical sciences
Binary number
State (functional analysis)
01 natural sciences
010305 fluids & plasmas
symbols.namesake
Quantum state
0103 physical sciences
symbols
Coherent states
Statistical physics
Limit (mathematics)
Quantum Physics (quant-ph)
010306 general physics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Roberson, D E, Izumi, S, Roga, W, Neergaard-Nielsen, J S, Takeoka, M & Andersen, U L 2021, ' Limit of Gaussian operations and measurements for Gaussian state discrimination and its application to state comparison ', Physical Review A, vol. 103, no. 2, 022423 . https://doi.org/10.1103/PhysRevA.103.022423, Physical Review A
- Accession number :
- edsair.doi.dedup.....9bdd6dba42fdf6e4dc72d5cdd928646c