Nonclassicality by Local Gaussian Unitary Operations for Gaussian States
Department of Mathematics, Shanxi University, Taiyuan 030006, China
Institute of Big Data Science and Industry, Shanxi University, Taiyuan 030006, China
Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 19 January 2018 / Revised: 16 March 2018 / Accepted: 6 April 2018 / Published: 11 April 2018
A measure of nonclassicality
in terms of local Gaussian unitary operations for bipartite Gaussian states is introduced.
is a faithful quantum correlation measure for Gaussian states as product states have no such correlation and every non product Gaussian state contains it. For any bipartite Gaussian state
, we always have
, where the upper bound 1 is sharp. An explicit formula of
-mode Gaussian states and an estimate of
-mode Gaussian states are presented. A criterion of entanglement is established in terms of this correlation. The quantum correlation
is also compared with entanglement, Gaussian discord and Gaussian geometric discord.
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MDPI and ACS Style
Wang, Y.; Qi, X.; Hou, J. Nonclassicality by Local Gaussian Unitary Operations for Gaussian States. Entropy 2018, 20, 266.
Wang Y, Qi X, Hou J. Nonclassicality by Local Gaussian Unitary Operations for Gaussian States. Entropy. 2018; 20(4):266.
Wang, Yangyang; Qi, Xiaofei; Hou, Jinchuan. 2018. "Nonclassicality by Local Gaussian Unitary Operations for Gaussian States." Entropy 20, no. 4: 266.
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