Nonclassicality by Local Gaussian Unitary Operations for Gaussian States

A measure of nonclassicality N in terms of local Gaussian unitary operations for bipartite Gaussian states is introduced. N 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 b...

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Bibliographic Details
Main Authors: Yangyang Wang, Xiaofei Qi, Jinchuan Hou
Format: Article
Language:English
Published: MDPI AG 2018-04-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/20/4/266
Description
Summary:A measure of nonclassicality N in terms of local Gaussian unitary operations for bipartite Gaussian states is introduced. N 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 ρ A B , we always have 0 ≤ N ( ρ A B ) < 1 , where the upper bound 1 is sharp. An explicit formula of N for ( 1 + 1 ) -mode Gaussian states and an estimate of N for ( n + m ) -mode Gaussian states are presented. A criterion of entanglement is established in terms of this correlation. The quantum correlation N is also compared with entanglement, Gaussian discord and Gaussian geometric discord.
ISSN:1099-4300