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Main Authors: Kovtoniuk, V. S., Stolyarov, E. V., Kliushnichenko, O. V., Semenov, A. A.
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2310.14263
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author Kovtoniuk, V. S.
Stolyarov, E. V.
Kliushnichenko, O. V.
Semenov, A. A.
author_facet Kovtoniuk, V. S.
Stolyarov, E. V.
Kliushnichenko, O. V.
Semenov, A. A.
contents In quantum optics, measurement statistics -- for example, photocounting statistics -- are considered nonclassical if they cannot be reproduced with statistical mixtures of classical radiation fields. We have formulated a necessary and sufficient condition for such nonclassicality. This condition is given by a set of inequalities that tightly bound the convex set of probabilities associated with classical electromagnetic radiation. Analytical forms for full sets and subsets of these inequalities are obtained for important cases of realistic photocounting measurements and unbalanced homodyne detection. As an example, we consider photocounting statistics of phase-squeezed coherent states. Contrary to a common intuition, the analysis developed here reveals distinct nonclassical properties of these statistics that can be experimentally corroborated with minimal resources.
format Preprint
id arxiv_https___arxiv_org_abs_2310_14263
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Tight inequalities for nonclassicality of measurement statistics
Kovtoniuk, V. S.
Stolyarov, E. V.
Kliushnichenko, O. V.
Semenov, A. A.
Quantum Physics
In quantum optics, measurement statistics -- for example, photocounting statistics -- are considered nonclassical if they cannot be reproduced with statistical mixtures of classical radiation fields. We have formulated a necessary and sufficient condition for such nonclassicality. This condition is given by a set of inequalities that tightly bound the convex set of probabilities associated with classical electromagnetic radiation. Analytical forms for full sets and subsets of these inequalities are obtained for important cases of realistic photocounting measurements and unbalanced homodyne detection. As an example, we consider photocounting statistics of phase-squeezed coherent states. Contrary to a common intuition, the analysis developed here reveals distinct nonclassical properties of these statistics that can be experimentally corroborated with minimal resources.
title Tight inequalities for nonclassicality of measurement statistics
topic Quantum Physics
url https://arxiv.org/abs/2310.14263