PMID- 34573814
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20240403
IS  - 1099-4300 (Electronic)
IS  - 1099-4300 (Linking)
VI  - 23
IP  - 9
DP  - 2021 Sep 9
TI  - A Computable Gaussian Quantum Correlation for Continuous-Variable Systems.
LID - 10.3390/e23091190 [doi]
LID - 1190
AB  - 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 rhoAB of the 
      system, M(rhoAB) depends only on the covariant matrix of rhoAB 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 rhoAB, M(rhoAB)=0 if and only if rhoAB is a product state; and (4) 
      0</=M((PhiAmultiply sign in circlePhiB)rhoAB)</=M(rhoAB) holds for any Gaussian state rhoAB and any Gaussian channels 
      PhiA and PhiB 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.
FAU - Liu, Liang
AU  - Liu L
AD  - College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
FAU - Hou, Jinchuan
AU  - Hou J
AUID- ORCID: 0000-0001-6534-9228
AD  - College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
FAU - Qi, Xiaofei
AU  - Qi X
AD  - School of Mathematical Science, Shanxi University, Taiyuan 030006, China.
AD  - Institute of Big Data Science and Industry, Shanxi University, Taiyuan 030006, 
      China.
LA  - eng
GR  - 12071336; 11671006/National Natural Science Foundation of China/
PT  - Journal Article
DEP - 20210909
PL  - Switzerland
TA  - Entropy (Basel)
JT  - Entropy (Basel, Switzerland)
JID - 101243874
PMC - PMC8467257
OTO - NOTNLM
OT  - Gaussian channels
OT  - Gaussian geometric discord
OT  - Gaussian states
OT  - continuous-variable systems
COIS- The authors declare no conflict of interest.
EDAT- 2021/09/29 06:00
MHDA- 2021/09/29 06:01
PMCR- 2021/09/09
CRDT- 2021/09/28 01:10
PHST- 2021/07/07 00:00 [received]
PHST- 2021/08/27 00:00 [revised]
PHST- 2021/09/06 00:00 [accepted]
PHST- 2021/09/28 01:10 [entrez]
PHST- 2021/09/29 06:00 [pubmed]
PHST- 2021/09/29 06:01 [medline]
PHST- 2021/09/09 00:00 [pmc-release]
AID - e23091190 [pii]
AID - entropy-23-01190 [pii]
AID - 10.3390/e23091190 [doi]
PST - epublish
SO  - Entropy (Basel). 2021 Sep 9;23(9):1190. doi: 10.3390/e23091190.