Quantum channels with a finite memory

Garry Bowen and Stefano Mancini
Phys. Rev. A 69, 012306 – Published 13 January 2004
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Abstract

In this paper we study quantum communication channels with correlated noise effects, i.e., quantum channels with memory. We derive a model for correlated noise channels that includes a channel memory state. We examine the case where the memory is finite, and derive bounds on the classical and quantum capacities. For the entanglement-assisted and unassisted classical capacities it is shown that these bounds are attainable for certain classes of channel. Also, we show that the structure of any finite-memory state is unimportant in the asymptotic limit, and specifically, for a perfect finite-memory channel where no information is lost to the environment, achieving the upper bound implies that the channel is asymptotically noiseless.

  • Received 2 May 2003

DOI:https://doi.org/10.1103/PhysRevA.69.012306

©2004 American Physical Society

Authors & Affiliations

Garry Bowen1,* and Stefano Mancini2,†

  • 1Centre for Quantum Computation, Clarendon Laboratory, University of Oxford, Oxford OX1 3PU, United Kingdom
  • 2Dipartimento di Fisica, Università di Camerino, I-62032 Camerino, Italy

  • *Electronic address: gab30@cam.ac.uk
  • Electronic address: stefano.mancini@unicam.it

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Vol. 69, Iss. 1 — January 2004

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