Entanglement detection via some classes of measurements

Abstract

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 for $d$-dimensional bipartite quantum systems, which are more powerful than the corresponding ones introduced in [C. Spengler, M. Huber, S. Brierley, T. Adaktylos, and B.C. Hiesmayr, Phys. Rev. A \textbf{86}, 022311 (2012); B. Chen, T. Ma, and S.M. Fei, Phys. Rev. A \textbf{89}, 064302 (2014); B. Chen, T. Li, and S.M. Fei, arXiv:1406.7820v1 [quant-ph] (2014)]. Some states such as Werner states and Bell-diagonal states are used to further illustrate the efficiency of the presented criteria.

References in corpus (8)

• Entanglement detection
• Entropic uncertainty relation for mutually unbiased bases
• Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion
• Entanglement detection beyond the cross-norm or realignment criterion
• Further results on entanglement detection and quantification from the correlation matrix criterion
• Entanglement detection using mutually unbiased measurements
• A class of inequalities inducing new separability criteria for bipartite quantum systems
• General SIC-Measurement Based Entanglement Detection

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• Improved separability criteria via some classes of measurements
• Entanglement and Designs
• Separability criteria via some classes of measurements
• Generalization of Pauli channels through mutually unbiased measurements
• Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories
• Enhanced separability criteria based on symmetric measurements
• Quantum Separability Criteria Based on Symmetric Measurements