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Computing the Classical-Quantum channel capacity: experiments on a Blahut-Arimoto type algorithm and an approximate solution for the binary inputs, two-dimensional outputs channel

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arxiv 1905.08235 v1 pith:H65764WX submitted 2019-05-18 quant-ph

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keywords channelalgorithmclassical-quantumapproximatebinaryblahut-arimotocapacitycomputing
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abstract

In our previous work, we presented a Blahut-Arimoto type algorithm for computing the discrete memoryless (DM) classical-quantum channel capacity. And the speed of convergence is analyzed. In this paper, we present numerical experiment to show that the algorithm converged much faster than the theoretical prediction. Also we present an explicit approximate solution for the binary inputs, two dimensional outputs classical-quantum channel, which has an error within $3\times10^{-4}$

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Riemannian Optimization for Holevo Capacity

    quant-ph 2025-01 reject novelty 6.0 of 10

    The paper introduces a Riemannian gradient descent method, with a derived gradient formula, to compute lower bounds on the Holevo capacity of general quantum channels, with numerical demonstrations.

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