Entanglement detection via general SIC-POVMs

  title={Entanglement detection via general SIC-POVMs},
  author={Ya Xi and Zhu-Jun Zheng and Chuan-Jie Zhu},
  journal={Quantum Information Processing},
We study separability problem using general symmetric informationally complete measurements and propose separability criteria in $$\mathbb {C}^{d_{1}}\otimes \mathbb {C}^{d_{2}}$$Cd1⊗Cd2 and $$\mathbb {C}^{d_{1}}\otimes \mathbb {C}^{d_{2}}\cdots \otimes \mathbb {C}^{d_{n}}$$Cd1⊗Cd2⋯⊗Cdn. Our criteria just require less local measurements and provide experimental implementation in detecting entanglement of unknown quantum states. 

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Separability Criterion for Density Matrices.

  • Pérès
  • Physics
    Physical review letters
  • 1996
It is proved that a necessary condition for separability is that a matrix, obtained by partial transposition of {rho}, has only non-negative eigenvalues.

General SIC measurement-based entanglement detection

The criterion for bipartite quantum states is effective in detecting several well-known classes of quantum states, and the criterion for two-qudit states requires less local measurements than the one based on mutually unbiased measurements.

Entanglement detection via some classes of measurements

Based on the mutually unbiased bases, the mutually unbiased measurements and the general symmetric informationally complete positive-operator-valued measures, we propose three separability criteria

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The computable cross-norm (CCN) criterion is a powerful analytical and computable separability criterion for bipartite quantum states, which is also known to systematically detect bound entanglement.

On quantum information

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Notes on general SIC-POVMs

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