Detecting high-dimensional multipartite entanglement via some classes of measurements

doi:10.1088/1674-1056/27/2/020306

Abstract

Mutually unbiased bases, mutually unbiased measurements and general symmetric informationally complete measurements are three related concepts in quantum information theory. We investigate multipartite systems using these notions and present some criteria detecting entanglement of arbitrary high dimensional multi-qudit systems and multipartite systems of subsystems with different dimensions. It is proved that these criteria can detect the k-nonseparability (k is even) of multipartite qudit systems and arbitrary high dimensional multipartite systems of m subsystems with different dimensions. We show that they are more efficient and wider of application range than the previous ones. They provide experimental implementation in detecting entanglement without full quantum state tomography.

Keywords: detection of entanglement multipartite quantum states mutually unbiased bases mutually unbiased measurements general symmetric informationally complete measurements

Received: 31 August 2017
Revised: 21 October 2017
Accepted manuscript online:

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

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11371005 and 11475054) and the Natural Science Foundation of Hebei Province of China (Grant No. A2016205145).

Corresponding Authors: Ting Gao, Fengli Yan
E-mail: gaoting@hebtu.edu.cn;flyan@hebtu.edu.cn

About author: 03.67.Mn; 03.65.Ud

Cite this article:

Lu Liu(刘璐), Ting Gao(高亭), Fengli Yan(闫凤利) Detecting high-dimensional multipartite entanglement via some classes of measurements 2018 Chin. Phys. B 27 020306

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