International Journal of Theoretical Physics

, Volume 57, Issue 12, pp 3776–3784 | Cite as

Amending Coherence-Breaking Channels via Unitary Operations

  • Long-Mei Yang
  • Bin Chen
  • Tao Li
  • Shao-Ming Fei
  • Zhi-Xi WangEmail author


The coherence-breaking channels play a significant role in quantum information theory. We study the coherence-breaking channels and give a method to amend the coherence-breaking channels by applying unitary operations. For given incoherent channel Φ, we give necessary and sufficient conditions for the channel to be a coherence-breaking channel and amend it via unitary operations. For qubit incoherent channels Φ that are not coherence-breaking ones, we consider the mapping Φ ∘Φ and present the conditions for coherence-breaking and channel amendment as well.


Coherence-breaking channel Incoherent channel Coherence-breaking index 



This work is supported by the NSFC (11675113) and the Research Foundation for Youth Scholars of Beijing Technology and Business University (QNJJ2017-03) and the Scientific Research General Program of Beijing Municipal Commission of Education (Grant No. KM201810011009).


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Long-Mei Yang
    • 1
  • Bin Chen
    • 2
  • Tao Li
    • 3
  • Shao-Ming Fei
    • 1
  • Zhi-Xi Wang
    • 1
    Email author
  1. 1.School of Mathematical SciencesCapital Normal UniversityBeijingChina
  2. 2.School of Mathematical SciencesTianjin Normal UniversityTianjinChina
  3. 3.School of Science, Beijing Technology and Business UniversityBeijingChina

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