A Decomposition Method for the Bipartite Separability of Bell Diagonal States

A new decomposition form is introduced in this report to establish a criterion for the bi-partite separability of Bell diagonal states. A such criterion takes a quadratic inequality of the coefficients of a given Bell diagonal states and can be derived via a simple algorithmic calculation of its invariants. In addition, the criterion can be extended to a quantum system of higher dimension.

Authors:

• Wei-Chih Su
• Kuan-Peng Chen
• Ming-Chung Tsai
• Zheng-Yao Su

Keywords:

• decomposition
• bipartite separability
• Bell diagonal states.

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