Operational resource theory of continuous-variable nonclassicality
File(s)
Published version
Author(s)
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.
Date Issued
2018-12-03
Date Acceptance
2018-10-10
Citation
Physical Review X, 2018, 8 (4)
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
Engineering & Physical Science Research Council (E
The Royal Society
Samsung Electronics Co. Ltd
Korea Institute of Science and Technology
Grant Number
EP/K034480/1
WM140063
N/A
n/a
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
QUANTUM
STATES
NOISE
ENTANGLEMENT
EQUIVALENCE
LIMITS
RULES
0201 Astronomical and Space Sciences
0204 Condensed Matter Physics
0206 Quantum Physics
Publication Status
Published
Article Number
ARTN 041038
Date Publish Online
2018-12-03