Mutually Unbiased Measurement Based Entanglement Witnesses

@article{Li2019MutuallyUM,
  title={Mutually Unbiased Measurement Based Entanglement Witnesses},
  author={Tao Li and Le-Min Lai and S. M. Fei and Zhi-Xi Wang},
  journal={International Journal of Theoretical Physics},
  year={2019}
}
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… 
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6 Citations
Background Citations
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Methods Citations
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Results Citations
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6 Citations

Entanglement Witnesses Based on Symmetric Informationally Complete Measurements
TLDR
It can be found this witness detects more entanglement than previous separability method given also by SIC-POVM.
Indecomposability of entanglement witnesses constructed from symmetric measurements
We propose a family of positive maps constructed from a recently introduced class of symmetric measurements. These maps are used to define entanglement witnesses, which include other popular…
Entanglement witnesses from mutually unbiased measurements
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A new family of positive, trace-preserving maps is introduced using the mutually unbiased measurements, which generalize the notion of mutual unbiasedness of orthonormal bases to define entanglement witnesses whose indecomposability depends on the characteristics of the associated measurement operators.
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We study entanglement witnesses (EWs) and construct a linear map by taking two groups of mutually unbiased bases (MUBs) of two Hilbert spaces. We provide two new relations about matrices (may not be…
Mutually unbiased measurements with arbitrary purity
TLDR
This contribution provides a class of MUM that encompasses the full range of purity in a d-dimension space and examines the minimal number of measurements needed to detect entanglement of bipartite states.
Generalization of Pauli channels through mutually unbiased measurements
We introduce a new generalization of the Pauli channels using the mutually unbiased measurement operators. The resulting channels are bistochastic but their eigenvectors are not unitary. We analyze…

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