Problems of Information Transmission

, Volume 42, Issue 2, pp 69–76 | Cite as

Remark on the additivity conjecture for a quantum depolarizing channel

  • G. G. Amosov
Information Theory


We consider bistochastic quantum channels generated by unitary representations of a discrete group. We give a proof of the additivity conjecture for a quantum depolarizing channel Φ based on the decreasing property of the relative entropy. We show that the additivity conjecture holds for a channel Ξ = Ψ o Φ, where Ψ is a phase damping channel.


Hilbert Space Information Transmission Quantum Channel Unitary Representation Relative Entropy 
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Copyright information

© Pleiades Publishing, Inc. 2006

Authors and Affiliations

  • G. G. Amosov
    • 1
  1. 1.Moscow Institute of Physics and TechnologyState UniversityRussia

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