scholarly journals Symplectic dilations, Gaussian states and Gaussian channels

2015 ◽  
Vol 46 (4) ◽  
pp. 419-439 ◽  
Author(s):  
K. R. Parthasarathy
2017 ◽  
Vol 118 (16) ◽  
Author(s):  
Giacomo De Palma ◽  
Dario Trevisan ◽  
Vittorio Giovannetti

2016 ◽  
Vol 15 (6) ◽  
pp. 2441-2453 ◽  
Author(s):  
Zhong-Xiao Wang ◽  
Shuhao Wang ◽  
Qiting Li ◽  
Tie-Jun Wang ◽  
Chuan Wang

Entropy ◽  
2021 ◽  
Vol 23 (9) ◽  
pp. 1190
Author(s):  
Liang Liu ◽  
Jinchuan Hou ◽  
Xiaofei Qi

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.


2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Danko Georgiev ◽  
Leon Bello ◽  
Avishy Carmi ◽  
Eliahu Cohen
Keyword(s):  

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