On Entropy Transmission for Quantum Channels

نویسندگان

  • NASIR GANIKHODJAEV
  • FARRUKH MUKHAMEDOV
چکیده

Abstract. In this paper a notion of entropy transmission of quantum channels is introduced as a natural extension of Ohya’s entropy. Here by quantum channel is meant unital completely positive mappings (ucp) of B(H) into itself, where H is an infinite dimensional Hilbert space. Using a representation theorem of ucp mapping we associate to every ucp map a uniquely determined state, and prove that entropy of ucp map is less then Ohya’s entropy of the associated state.

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تاریخ انتشار 2007