Mutually Unbiased Measurement Based Entanglement Witnesses

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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.

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Li, T., Lai, L. M., Fei, S. M., & Wang, Z. X. (2019). Mutually Unbiased Measurement Based Entanglement Witnesses. International Journal of Theoretical Physics, 58(12), 3973–3985. https://doi.org/10.1007/s10773-019-04263-9

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