Entanglement polygon inequalities for a class of mixed states

doi:10.1088/1674-1056/ad8eb0

Abstract The study on the entanglement polygon inequality of multipartite systems has attracted much attention. However, most of the results are on pure states. Here we consider the property for a class of mixed states, which are the reduced density matrices of generalized $W$-class states in multipartite higher dimensional systems. First we show the class of mixed states satisfies the entanglement polygon inequalities in terms of Tsallis-$q$ entanglement, then we propose a class of tighter inequalities for mixed states in terms of Tsallis-$q$ entanglement. At last, we get an inequality for the mixed states, which can be regarded as a relation for bipartite entanglement.

Keywords: entanglement polygon inequality $W$-class states Tsallis-$q$ entanglement

Received: 20 August 2024
Revised: 13 September 2024
Accepted manuscript online: 05 November 2024

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12301580).

Corresponding Authors: Xian Shi
E-mail: shixian01@gmail.com

Cite this article:

Xian Shi(石现) Entanglement polygon inequalities for a class of mixed states 2024 Chin. Phys. B 33 110308

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