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Entanglement witnesses generated by positive maps

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Abstract

Entanglement witnesses are non-positive Hermitian operators which can detect whether a quantum state is entangled. Positive maps based on one and two given quantum states are constructed, and entanglement witnesses are generated by composing the positive maps with affine maps. An entanglement witness example is given at the end.

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Acknowledgments

The author would like to thank the editor and the reviewers for their constructive comments and suggestions to improve the quality of the paper. This work was funded by project 13XKJC01 from Leading Academic Discipline Project of Shanghai Dianji University and the funding scheme for training young teachers in colleges and universities in Shanghai (ZZSDJ14023).

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  1. Department of Mathematics and Physics, Shanghai Dianji University, Shanghai, 201306, People’s Republic of China

    Wei Yang

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  1. Wei Yang
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Correspondence to Wei Yang.

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Yang, W. Entanglement witnesses generated by positive maps. Quantum Inf Process 14, 287–301 (2015). https://doi.org/10.1007/s11128-014-0852-5

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  • DOI: https://doi.org/10.1007/s11128-014-0852-5

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