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Coding Theorem for a Class of Quantum Channels with Long-Term Memory

Nilanjana Datta·Tony Dorlas
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Abstract

In this paper we consider the transmission of classical information through a class of quantum channels with long-term memory, which are given by convex combinations of product channels. Hence, the memory of such channels is given by a Markov chain which is aperiodic but not irreducible. We prove the coding theorem and weak converse for this class of channels. The main techniques that we employ, are a quantum version of Feinstein's Fundamental Lemma and a generalization of Helstrom's Theorem.

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Nilanjana Datta, Tony Dorlas. 2006-10-12. Coding Theorem for a Class of Quantum Channels with Long-Term Memory. https://doi.org/10.1088/1751-8113/40/28/s20

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