Entanglement Measure Based on Optimal Entanglement Witness

• URL: http://arxiv.org/abs/2402.11865v1
• Date: Mon, 19 Feb 2024 06:13:05 GMT
• Title: Entanglement Measure Based on Optimal Entanglement Witness
• Authors: Nan Yang, Jiaji Wu, Xianyun Dong, Longyu Xiao, Jing Wang, Ming Li
• Abstract summary: We show that the entanglement measure satisfies some necessary properties, including zero entanglements for all separable states. We numerically simulate the lower bound of several types of specific quantum states.
• Score: 13.737069477659922
• License: http://creativecommons.org/licenses/by/4.0/
• 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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