Mutually unbiased measurement based entanglement witnesses

Tao Li, Le-Min Lai, Shao-Ming Fei, and Zhi-Xi Wang

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Submission date: 19. Jan. 2020
Pages: 13
published in: International journal of theoretical physics, 58 (2019) 12, p. 3973-3985 
DOI number (of the published article): 10.1007/s10773-019-04263-9
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Abstract:
We study entanglement witness and present a construction of entanglement witnesses in terms of the mutually unbiased measurements (MUMs). These witnesses include the entanglement witnesses constructed from mutually unbiased bases (MUBs) as a special case. Comparing with the dimension dependence of MUBs, the witnesses can be always constructed from a complete set of d + 1 MUMs for any dimension d. We show that our witness can detect entanglement better than previous separability criterion given also by MUMs. And the approach can be experimentally implemented.