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Operational resource theory of continuous-variable nonclassicality

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Title: Operational resource theory of continuous-variable nonclassicality
Authors: Yadin, B
Binder, FC
Thompson, J
Narasimhachar, V
Gu, M
Kim, MS
Item Type: Journal Article
Abstract: Genuinely quantum states of a harmonic oscillator may be distinguished from their classical counterparts by the Glauber-Sudarshan P representation—a state lacking a positive P function is said to be nonclassical. In this paper, we propose a general operational framework for studying nonclassicality as a resource in networks of passive linear elements and measurements with feed forward. Within this setting, we define new measures of nonclassicality based on the quantum fluctuations of quadratures, as well as the quantum Fisher information of quadrature displacements. These measures lead to fundamental constraints on the manipulation of nonclassicality, especially its concentration into subsystems, that apply to generic multimode non-Gaussian states. Special cases of our framework include no-go results in the concentration of squeezing and a complete hierarchy of nonclassicality for single-mode Gaussian states.
Issue Date: 31-Dec-2018
Date of Acceptance: 10-Oct-2018
URI: http://hdl.handle.net/10044/1/65042
DOI: https://dx.doi.org/10.1103/physrevx.8.041038
ISSN: 2160-3308
Publisher: American Physical Society
Journal / Book Title: Physical Review X
Volume: 8
Issue: 4
Copyright Statement: © 2018 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/). Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Sponsor/Funder: Engineering & Physical Science Research Council (E
The Royal Society
Samsung Electronics Co Ltd
Korea Institute of Science and Technology
Funder's Grant Number: EP/K034480/1
WM140063
N/A
n/a
Publication Status: Published
Article Number: 041038
Online Publication Date: 2018-12-03
Appears in Collections:Quantum Optics and Laser Science
Physics
Faculty of Natural Sciences



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