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Performances of Block Codes Attaining the Expurgated and Cutoff Rate Lower Bounds on the Error Exponent of Binary Classical-Quantum Channels

Pawel Wocjan·Dejan E. Lazic·Thomas Beth
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Abstract

A conceptually simple method for derivation of lower bounds on the error exponent of specific families of block codes used on classical-quantum channels with arbitrary signal states over a finite Hilbert space is presented. It is shown that families of binary block codes with appropriately rescaled binomial multiplicity enumerators used on binary classical-quantum channels and decoded by the suboptimal decision rule introduced by Holevo attain the expurgated and cutoff rate lower bounds on the error exponent.

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Pawel Wocjan, Dejan E. Lazic, Thomas Beth. 2000-07-17. Performances of Block Codes Attaining the Expurgated and Cutoff Rate Lower Bounds on the Error Exponent of Binary Classical-Quantum Channels. https://arxiv.org/abs/quant-ph/0007051

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