4.6 Article

Channel-state duality

期刊

PHYSICAL REVIEW A
卷 87, 期 2, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.87.022310

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资金

  1. National Natural Science Foundation of China [61104002]
  2. Natural Science Foundation of Jiangsu Province [BK2011283]
  3. Science Fund for Creative Research Groups, National Natural Science Foundation of China [10721101]
  4. National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences [Y029152K51]

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Channel-state duality refers to the correspondence between quantum channels and bipartite states, and it is extremely useful and fruitful in quantum information theory. It is often called the Jamiolkowski isomorphism, the Jamiolkowski-Choi isomorphism, or the Choi-Jamiolkowski isomorphism. We trace the original roots of this duality from a historic perspective, clarify the somewhat misleading term isomorphism, reveal the underlying subtle nature, and highlight the seemingly similar but actually different features of the original correspondences in the manner of Pillis, Jamiolkowski, and Choi that lead to the duality. We further illustrate some fundamental properties and diverse applications. DOI: 10.1103/PhysRevA.87.022310

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