On a biseparability criterion of bipartite qudit state

doi:10.1088/1674-1056/28/8/080302

中国物理B ›› 2019, Vol. 28 ›› Issue (8): 80302-080302.doi: 10.1088/1674-1056/28/8/080302

On a biseparability criterion of bipartite qudit state

B Benzimoun, M Daoud

1 LPHE-Modeling and Simulation, Faculty of Sciences, University Mohammed V, Rabat, Morocco;
2 Department of Physics, Faculty of Sciences-Ain Chock, University Hassan II, Casablanca, Morocco;
3 Abdus Salam International Centre for Theoretical Physics, Trieste, Italy

收稿日期:2019-04-25 修回日期:2019-06-03 出版日期:2019-08-05 发布日期:2019-08-05
通讯作者: B Benzimoun, M Daoud E-mail:b.benzimoun@gmail.com;m_daoud@hotmail.com

On a biseparability criterion of bipartite qudit state

B Benzimoun¹, M Daoud^2,3

1 LPHE-Modeling and Simulation, Faculty of Sciences, University Mohammed V, Rabat, Morocco;
2 Department of Physics, Faculty of Sciences-Ain Chock, University Hassan II, Casablanca, Morocco;
3 Abdus Salam International Centre for Theoretical Physics, Trieste, Italy

Received:2019-04-25 Revised:2019-06-03 Online:2019-08-05 Published:2019-08-05
Contact: B Benzimoun, M Daoud E-mail:b.benzimoun@gmail.com;m_daoud@hotmail.com

摘要/Abstract

摘要： In this paper, we propose a new approach to tackle the separability problem for bipartite qudit mixed-states. This is based on the Majorana representation which allows to represent a N-spinors (qudit) as a symmetric state of N spin-1/2. We also discuss how we can exploit such representation and the notion of the biseparability of multipartite qubit states in the sense to establish new criteria of the separability problem based on the PPT and concurrence.

关键词: separability, bipartite qubit state, partial separability, Majorana representation

Abstract: In this paper, we propose a new approach to tackle the separability problem for bipartite qudit mixed-states. This is based on the Majorana representation which allows to represent a N-spinors (qudit) as a symmetric state of N spin-1/2. We also discuss how we can exploit such representation and the notion of the biseparability of multipartite qubit states in the sense to establish new criteria of the separability problem based on the PPT and concurrence.

Key words: separability, bipartite qubit state, partial separability, Majorana representation

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.-a (Quantum information) 03.65.-w (Quantum mechanics)

B Benzimoun, M Daoud. On a biseparability criterion of bipartite qudit state[J]. 中国物理B, 2019, 28(8): 80302-080302.

B Benzimoun, M Daoud. On a biseparability criterion of bipartite qudit state[J]. Chin. Phys. B, 2019, 28(8): 80302-080302.

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On a biseparability criterion of bipartite qudit state

On a biseparability criterion of bipartite qudit state

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