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94 results on '"Boulat A. Bash"'

1. Bayesian minimum mean square error for transmissivity sensing

Author

Boyu Zhou, Boulat A. Bash, Saikat Guha, and Christos N. Gagatsos

Subjects
Physics, QC1-999
Abstract

We address the problem of estimating the transmissivity of the pure-loss single-mode bosonic channel from the Bayesian point of view, i.e., when a prior probability distribution function (PDF) on the transmissivity is available. We compute the quantum limit of the Bayesian minimum mean square error of estimating transmissivity. Specifically, we consider two prior PDFs: the two-point distribution (relevant for reading from an optical drive) and the beta distribution (relevant for imaging a reflective pixelated scene). If the probe's mean photon number is an integer, for the two-point PDF we prove that the optimal probe is a Fock state and the optimal measurement is photon counting, while for the beta PDF our numerical results provide evidence on the optimality of the Fock state probe and photon counting. When the probe's mean photon number is any (nonnegative) real number, we conjecture the form of the optimal probe state and we study the performance of photon counting, which is a suboptimal yet practical measurement. Our methods can be applied for any prior PDF. We discuss how different precision metrics and priors on the parameter influence the quantum-optimal probe and measurement. To our knowledge, these results on transmissivity estimation with quantum-limited precision represent the first Bayesian analysis of the problem.

Published
2023
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39. Quantum-Enhanced Transmittance Sensing

Author

Zihao Gong, Nathaniel Rodriguez, Christos N. Gagatsos, Saikat Guha, and Boulat A. Bash

Subjects
Quantum Physics, Signal Processing, FOS: Physical sciences, Electrical and Electronic Engineering, Quantum Physics (quant-ph)
Abstract

We consider the problem of estimating unknown transmittance $\theta$ of a target bathed in thermal background light. As quantum estimation theory yields the fundamental limits, we employ the lossy thermal-noise bosonic channel model, which describes sensor-target interaction quantum mechanically in many practical active-illumination systems (e.g., using emissions at optical, microwave, or radio frequencies). We prove that quantum illumination using two-mode squeezed vacuum (TMSV) states asymptotically achieves minimal quantum Cram\'{e}r-Rao bound (CRB) over all quantum states (not necessarily Gaussian) in the limit of low transmitted power. We characterize the optimal receiver structure for TMSV input, and show its advantage over other receivers using both analysis and Monte Carlo simulation., Comment: Minor revision, 17 pages, 11 figures. in IEEE J. Sel. Top. Signal Process

Published
2022
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50. Fundamental Limits of Bosonic Broadcast Channels

Author

Saikat Guha, Evan J. D. Anderson, and Boulat A. Bash

Subjects
Conjecture, Photon, Broadcast channels, Covert, Computer science, Entropy (information theory), Data_CODINGANDINFORMATIONTHEORY, Radio frequency, Microwave transmission, Topology, Computer Science::Information Theory, Communication channel
Abstract

We develop the capacity region for the bosonic broadcast channel in the presence of thermal noise and photon loss due to the environment. The bosonic channel is a quantum-mechanical description of many practical communication links such as optical, microwave, and radiofrequency. We employ our results to find the capacity region for quantum-secure covert broadcast over such channels and show that time-division is optimal as in the classical covert broadcast scenario. We rely on a strong minimum entropy output conjecture, a direct result of the entropy photon-number inequality (EPnI) conjecture.

Published
2021
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