Projection based lower bounds of concurrence for multipartite quantum systems

Hui Zhao, MeiMing Zhang, Shao-Ming Fei, and Naihuan Jing

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Submission date: 17. Mar. 2020
Pages: 15
published in: International journal of theoretical physics (2020), pp not yet known
DOI number (of the published article): 10.1007/s10773-020-04436-x
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Abstract:
We study the concurrence of arbitrary-dimensional multipartite quantum states. Analytical lower bounds of concurrence for tripartite quantum states are derived by projecting high-dimensional states to 2 ⊗ 2 ⊗ 2 substates. The results are then generalized to arbitrary multipartite quantum systems. Furthermore, the scheme enables us obtain lower bounds of concurrence for arbitrary four-partite quantum states by projecting high-dimensional states to arbitrary given lower dimensional substates. By detailed examples we show that our results improve the existing lower bounds of concurrence.