Evidence map›Paper›PMID 34573814›Full record

ArticleEntropy (Basel, Switzerland)2021

A Computable Gaussian Quantum Correlation for Continuous-Variable Systems.

Liang Liu, Jinchuan Hou, Xiaofei Qi

Abstract read
In one paragraph

Article in Entropy (Basel, Switzerland), 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Dynamics of Quantum Correlations in Open Systems.Entropy (Basel, Switzerland) · 2023
    Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

3 authors.

Liang LiuCollege of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
Jinchuan HouCollege of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.ORCID 0000-0001-6534-9228
Xiaofei QiSchool of Mathematical Science, Shanxi University, Taiyuan 030006, China.

Funding

National Natural Science Foundation of China 12071336; 11671006
6 · The paper itself

Abstract

Generally speaking, it is difficult to compute the values of the Gaussian quantum discord and Gaussian geometric discord for Gaussian states, which limits their application. In the present paper, for any (n+m)-mode continuous-variable system, a computable Gaussian quantum correlation M is proposed. For any state ρAB of the system, M(ρAB) depends only on the covariant matrix of ρAB without any measurements performed on a subsystem or any optimization procedures, and thus is easily computed. Furthermore, M has the following attractive properties: (1) M is independent of the mean of states, is symmetric about the subsystems and has no ancilla problem; (2) M is locally Gaussian unitary invariant; (3) for a Gaussian state ρAB, M(ρAB)=0 if and only if ρAB is a product state; and (4) 0≤M((ΦA⊗ΦB)ρAB)≤M(ρAB) holds for any Gaussian state ρAB and any Gaussian channels ΦA and ΦB performed on the subsystem A and B, respectively. Therefore, M is a nice Gaussian correlation which describes the same Gaussian correlation as Gaussian quantum discord and Gaussian geometric discord when restricted on Gaussian states. As an application of M, a noninvasive quantum method for detecting intracellular temperature is proposed.

Indexed as

continuous-variable systemsGaussian channelsGaussian geometric discordGaussian states

Identifiers

PMID34573814
PMCPMC8467257

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