Improved separability criteria via some classes of measurements

Shu-Qian Shen, Ming Li, Xianqing Li-Jost, and Shao-Ming Fei

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Submission date: 17. Jul. 2018
Pages: 12
published in: Quantum information processing, 17 (2018) 5, art-no. 111 
DOI number (of the published article): 10.1007/s11128-018-1876-z
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Abstract:
The entanglement detection via local measurements can be experimentally implemented. Based on mutually unbiased measurements and general symmetric informationally complete positive-operator-valued measures, we present separability criteria for bipartite quantum states, which, by theoretical analysis, are stronger than the related existing criteria via these measurements. A detailed example is presented to show that the separability criteria can be more efficient than some well-known criteria such as positive partial transpose (Peres-Horodecki) criteria, realignment (computable cross norm) criteria, the criteria based on the realignment of ρ − ρ^A ⊗ ρ^B, the criteria based on Bloch representations and some evaluated covariance matrix criteria.