A $(k+1)$-partite entanglement measure of $N$-partite quantum states

• URL: http://arxiv.org/abs/2211.03266v1
• Date: Mon, 7 Nov 2022 02:21:24 GMT
• Title: A $(k+1)$-partite entanglement measure of $N$-partite quantum states
• Authors: Yan Hong, Xianfei Qi, Ting Gao, Fengli Yan
• Abstract summary: We first present $(k+1)$-partite entanglement measure of $N$-partite quantum system. We give strong bounds on this measure by considering the permutationally invariant part of a multipartite state. We give two definitions of efficient measurable degree of $(k+1)$-partite entanglement.
• Score: 1.345821655503426
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The concept of \textquotedblleft the permutationally invariant part of a density matrx\textquotedblright constitutes an important tool for entanglement characterization of multiqubit systems. In this paper, we first present $(k+1)$-partite entanglement measure of $N$-partite quantum system, which possesses desirable properties of an entanglement measure. Moreover, we give strong bounds on this measure by considering the permutationally invariant part of a multipartite state. We give two definitions of efficient measurable degree of $(k+1)$-partite entanglement. Finally, several concrete examples are given to illustrate the effectiveness of our results.

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