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Title: Measurement-induced disturbances and nonclassical correlations of Gaussian states

Abstract

We study quantum correlations beyond entanglement in two-mode Gaussian states of continuous-variable systems by means of the measurement-induced disturbance (MID) and its ameliorated version (AMID). In analogy with the recent studies of the Gaussian quantum discord, we define a Gaussian AMID by constraining the optimization to all bi-local Gaussian positive operator valued measurements. We solve the optimization explicitly for relevant families of states, including squeezed thermal states. Remarkably, we find that there is a finite subset of two-mode Gaussian states comprising pure states where non-Gaussian measurements such as photon counting are globally optimal for the AMID and realize a strictly smaller state disturbance compared to the best Gaussian measurements. However, for the majority of two-mode Gaussian states the unoptimized MID provides a loose overestimation of the actual content of quantum correlations, as evidenced by its comparison with Gaussian discord. This feature displays strong similarity with the case of two qubits. Upper and lower bounds for the Gaussian AMID at fixed Gaussian discord are identified. We further present a comparison between Gaussian AMID and Gaussian entanglement of formation, and classify families of two-mode states in terms of their Gaussian AMID, Gaussian discord, and Gaussian entanglement of formation. Our findings provide amore » further confirmation of the genuinely quantum nature of general Gaussian states, yet they reveal that non-Gaussian measurements can play a crucial role for the optimized extraction and potential exploitation of classical and nonclassical correlations in Gaussian states.« less

Authors:
 [1]; ;  [2]; ;  [3]
  1. Department of Optics, Palacky University, 17. listopadu 12, CZ-771 46 Olomouc (Czech Republic)
  2. School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, Fife, KY16 9SS, Scotland (United Kingdom)
  3. School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD (United Kingdom)
Publication Date:
OSTI Identifier:
21544592
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 83; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.83.042325; (c) 2011 American Institute of Physics; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPARATIVE EVALUATIONS; CORRELATIONS; DISTURBANCES; OPTIMIZATION; PHOTONS; PURE STATES; QUANTUM ENTANGLEMENT; QUBITS; BOSONS; ELEMENTARY PARTICLES; EVALUATION; INFORMATION; MASSLESS PARTICLES; QUANTUM INFORMATION; QUANTUM STATES

Citation Formats

Mista, Ladislav Jr, School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, Fife, KY16 9SS, Scotland, Tatham, Richard, Korolkova, Natalia, Girolami, Davide, and Adesso, Gerardo. Measurement-induced disturbances and nonclassical correlations of Gaussian states. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.83.042325.
Mista, Ladislav Jr, School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, Fife, KY16 9SS, Scotland, Tatham, Richard, Korolkova, Natalia, Girolami, Davide, & Adesso, Gerardo. Measurement-induced disturbances and nonclassical correlations of Gaussian states. United States. https://doi.org/10.1103/PHYSREVA.83.042325
Mista, Ladislav Jr, School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, Fife, KY16 9SS, Scotland, Tatham, Richard, Korolkova, Natalia, Girolami, Davide, and Adesso, Gerardo. Fri . "Measurement-induced disturbances and nonclassical correlations of Gaussian states". United States. https://doi.org/10.1103/PHYSREVA.83.042325.
@article{osti_21544592,
title = {Measurement-induced disturbances and nonclassical correlations of Gaussian states},
author = {Mista, Ladislav Jr and School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, Fife, KY16 9SS, Scotland and Tatham, Richard and Korolkova, Natalia and Girolami, Davide and Adesso, Gerardo},
abstractNote = {We study quantum correlations beyond entanglement in two-mode Gaussian states of continuous-variable systems by means of the measurement-induced disturbance (MID) and its ameliorated version (AMID). In analogy with the recent studies of the Gaussian quantum discord, we define a Gaussian AMID by constraining the optimization to all bi-local Gaussian positive operator valued measurements. We solve the optimization explicitly for relevant families of states, including squeezed thermal states. Remarkably, we find that there is a finite subset of two-mode Gaussian states comprising pure states where non-Gaussian measurements such as photon counting are globally optimal for the AMID and realize a strictly smaller state disturbance compared to the best Gaussian measurements. However, for the majority of two-mode Gaussian states the unoptimized MID provides a loose overestimation of the actual content of quantum correlations, as evidenced by its comparison with Gaussian discord. This feature displays strong similarity with the case of two qubits. Upper and lower bounds for the Gaussian AMID at fixed Gaussian discord are identified. We further present a comparison between Gaussian AMID and Gaussian entanglement of formation, and classify families of two-mode states in terms of their Gaussian AMID, Gaussian discord, and Gaussian entanglement of formation. Our findings provide a further confirmation of the genuinely quantum nature of general Gaussian states, yet they reveal that non-Gaussian measurements can play a crucial role for the optimized extraction and potential exploitation of classical and nonclassical correlations in Gaussian states.},
doi = {10.1103/PHYSREVA.83.042325},
url = {https://www.osti.gov/biblio/21544592}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 83,
place = {United States},
year = {2011},
month = {4}
}