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Entanglement-breaking of quantum dynamical channels

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Abstract

Entanglement is a key issue in the quantum physics which gives rise to resources for achieving tasks that are not possible within the realm of classical physics. Quantum entanglement varies with the evolution of the quantum systems. It is of significance to investigate the entanglement dynamics in terms of quantum channels. We study the entanglement-breaking channels and present the necessary and sufficient conditions for a quantum channel to an entanglement-breaking one for qubit systems. Furthermore, a concept of strong entanglement-breaking channel is introduced. The amendment of entanglement-breaking channels is also studied.

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Acknowledgements

This work is supported by the NSF of China under Grant No. 11675113 and is supported by the Scientific Research General Program of Beijing Municipal Commission of Education (Grant No. KM 201810011009).

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Authors and Affiliations

  1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Long-Mei Yang, Shao-Ming Fei & Zhi-Xi Wang

  2. School of Science, Beijing Technology and Business University, Beijing, 100048, China

    Tao Li

  3. Max Planck Institute for Mathematics in the Sciences, 04103, Leipzig, Germany

    Shao-Ming Fei

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  1. Long-Mei Yang
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  2. Tao Li
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  3. Shao-Ming Fei
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  4. Zhi-Xi Wang
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Correspondence to Tao Li, Shao-Ming Fei or Zhi-Xi Wang.

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Yang, LM., Li, T., Fei, SM. et al. Entanglement-breaking of quantum dynamical channels. Quantum Inf Process 18, 231 (2019). https://doi.org/10.1007/s11128-019-2349-8

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  • DOI: https://doi.org/10.1007/s11128-019-2349-8

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