Entanglement Measure Based on Optimal Entanglement Witness

Entanglement Measure Based on Optimal Entanglement Witness

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-incr...

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Veröffentlicht in:arXiv.org 2024-02
Hauptverfasser: Yang, Nan, Wu, Jiaji, Dong, Xianyun, Xiao, Longyu, Wang, Jing, Li, Ming
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Convexity
Lower bounds
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Wu, Jiaji
Dong, Xianyun
Xiao, Longyu
Wang, Jing
Li, Ming
description 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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subjects Convexity
Lower bounds
title Entanglement Measure Based on Optimal Entanglement Witness
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