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Title: Correlation properties of entangled multiphoton states and Bernstein's paradox

Abstract

A normally ordered characteristic function (NOCF) of Bose operators is calculated for a number of discrete-variable entangled states (Greenberger-Horne-Zeilinger (GHZ) and Werner (W) qubit states and a cluster state). It is shown that such NOCFs contain visual information on two types of correlations: pseudoclassical and quantum correlations. The latter manifest themselves in the interference terms of the NOCFs and lead to quantum paradoxes, whereas the pseudoclassical correlations of photons and their cumulants satisfy the relations for classical random variables. Three- and four-qubit states are analyzed in detail. An implementation of an analog of Bernstein's paradox on discrete quantum variables is discussed. A measure of quantumness of an entangled state is introduced that is not related to the entropy approach. It is established that the maximum of the degree of quantumness substantiates the numerical values of the coefficients in multiqubit vector states derived from intuitive considerations.

Authors:
; ;  [1]
  1. Moscow State University (Russian Federation)
Publication Date:
OSTI Identifier:
22156448
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 116; Journal Issue: 1; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATIONS; ENTROPY; GHZ RANGE; INTERFERENCE; MULTI-PHOTON PROCESSES; PHOTONS; QUANTUM ENTANGLEMENT; RANDOMNESS

Citation Formats

Chirkin, A. S., E-mail: aschirkin@rambler.ru, Belyaeva, O. V., E-mail: lisenok.msu@gmail.com, and Belinsky, A. V., E-mail: belinsky@inbox.ru. Correlation properties of entangled multiphoton states and Bernstein's paradox. United States: N. p., 2013. Web. doi:10.1134/S1063776113010202.
Chirkin, A. S., E-mail: aschirkin@rambler.ru, Belyaeva, O. V., E-mail: lisenok.msu@gmail.com, & Belinsky, A. V., E-mail: belinsky@inbox.ru. Correlation properties of entangled multiphoton states and Bernstein's paradox. United States. https://doi.org/10.1134/S1063776113010202
Chirkin, A. S., E-mail: aschirkin@rambler.ru, Belyaeva, O. V., E-mail: lisenok.msu@gmail.com, and Belinsky, A. V., E-mail: belinsky@inbox.ru. 2013. "Correlation properties of entangled multiphoton states and Bernstein's paradox". United States. https://doi.org/10.1134/S1063776113010202.
@article{osti_22156448,
title = {Correlation properties of entangled multiphoton states and Bernstein's paradox},
author = {Chirkin, A. S., E-mail: aschirkin@rambler.ru and Belyaeva, O. V., E-mail: lisenok.msu@gmail.com and Belinsky, A. V., E-mail: belinsky@inbox.ru},
abstractNote = {A normally ordered characteristic function (NOCF) of Bose operators is calculated for a number of discrete-variable entangled states (Greenberger-Horne-Zeilinger (GHZ) and Werner (W) qubit states and a cluster state). It is shown that such NOCFs contain visual information on two types of correlations: pseudoclassical and quantum correlations. The latter manifest themselves in the interference terms of the NOCFs and lead to quantum paradoxes, whereas the pseudoclassical correlations of photons and their cumulants satisfy the relations for classical random variables. Three- and four-qubit states are analyzed in detail. An implementation of an analog of Bernstein's paradox on discrete quantum variables is discussed. A measure of quantumness of an entangled state is introduced that is not related to the entropy approach. It is established that the maximum of the degree of quantumness substantiates the numerical values of the coefficients in multiqubit vector states derived from intuitive considerations.},
doi = {10.1134/S1063776113010202},
url = {https://www.osti.gov/biblio/22156448}, journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 1,
volume = 116,
place = {United States},
year = {Tue Jan 15 00:00:00 EST 2013},
month = {Tue Jan 15 00:00:00 EST 2013}
}