Abstract
The classical capacity of a quantum channel with arbitrary Markovian correlated noise is evaluated. For the general case of a channel with long-term memory, which corresponds to a Markov chain which does not converge to equilibrium, the capacity is expressed in terms of the communicating classes of the Markov chain. For an irreducible and aperiodic Markov chain, the channel is forgetful, and one retrieves the known expression (Kretschmann and Werner in Phys. Rev. A 72:062323, 2005) for the capacity.
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T. Dorlas is on leave from the Dublin Institute of Advanced Studies, School of Theoretical Physics, 10 Burlington Road, Dublin 4, Ireland.
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Datta, N., Dorlas, T. Classical Capacity of Quantum Channels with General Markovian Correlated Noise. J Stat Phys 134, 1173–1195 (2009). https://doi.org/10.1007/s10955-009-9726-0
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DOI: https://doi.org/10.1007/s10955-009-9726-0