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Quantum Information Processing

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01-08-2023

Entanglement measure based on optimal entanglement witness

Authors: Nan Yang, Jiaji Wu, Xianyun Dong, Longyu Xiao, Jing Wang, Ming Li

Published in: Quantum Information Processing | Issue 8/2023

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Abstract

We introduce a new entanglement measure based on optimal entanglement witness. First of all, we show that the entanglement measure satisfies some necessary properties, including zero entanglements for all separable states, convexity, continuity, invariance under local unitary operations and non-increase under local operations and classical communication (LOCC). More than that, we give a specific mathematical expression for the lower bound of this entanglement measure for any bipartite mixed states. We further improve the lower bound for 2\( \otimes \)2 systems. Finally, we numerically simulate the lower bound of several types of specific quantum states.

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Title: Entanglement measure based on optimal entanglement witness
Authors: Nan Yang
Jiaji Wu
Xianyun Dong
Longyu Xiao
Jing Wang
Ming Li
Publication date: 01-08-2023
Publisher: Springer US
Published in: Quantum Information Processing / Issue 8/2023
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-023-04056-4

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