Quantum Correlation Based on Uhlmann Fidelity for Gaussian States
College of Mechanics, Taiyuan University of Technology, Taiyuan 030024, China
College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China
Department of Mathematics, Shanxi University, Taiyuan 030006, China
Institute of Big Data Science and Industry, Shanxi University, Taiyuan 030006, China
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 20 September 2018 / Revised: 14 December 2018 / Accepted: 19 December 2018 / Published: 22 December 2018
PDF [2420 KB, uploaded 26 December 2018]
A quantum correlation
-mode continuous-variable systems is introduced in terms of local Gaussian unitary operations performed on Subsystem A based on Uhlmann fidelity F
. This quantity is a remedy for the local ancilla problem associated with the geometric measurement-induced correlations; is local Gaussian unitary invariant; is non-increasing under any Gaussian quantum channel performed on Subsystem B;and is an entanglement monotone when restricted to pure Gaussian states in the
-mode case. A concrete formula for
-mode symmetric squeezed thermal states (SSTSs) is presented. We also compare
with other quantum correlations in scale, such as Gaussian quantum discord and Gaussian geometric discord, for two-mode SSTSs, which reveals that
has some advantage in detecting quantum correlations of Gaussian states.
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MDPI and ACS Style
Liu, L.; Hou, J.; Qi, X. Quantum Correlation Based on Uhlmann Fidelity for Gaussian States. Entropy 2019, 21, 6.
Liu L, Hou J, Qi X. Quantum Correlation Based on Uhlmann Fidelity for Gaussian States. Entropy. 2019; 21(1):6.
Liu, Liang; Hou, Jinchuan; Qi, Xiaofei. 2019. "Quantum Correlation Based on Uhlmann Fidelity for Gaussian States." Entropy 21, no. 1: 6.
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