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Mutually Unbiased Measurement Based Entanglement Witnesses |
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| Authors: | Li Tao Lai Le-Min Fei Shao-Ming Wang Zhi-Xi |
| Affiliation: | 1.School of Mathematics and Statistics, Beijing Technology and Business University, Beijing, 100048, China ;2.School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China ;3.Max Planck Institute for Mathematics in the Sciences, Leipzig, 04103, Germany ; |
| 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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