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.
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