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Remarks on the classical capacity of quantum channel

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arxiv quant-ph/0212025 v1 pith:5ADX45SL submitted 2002-12-04 quant-ph

classification quant-ph
keywords capacityclassicalchannelscovariantproofquantumchanneldescribed
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A direct proof of the relation between the one-shot classical capacity and the minimal output entropy for covariant quantum channels is suggested. The structure of covariant channels is described in some detail. A simple proof of a general inequality for entanglement-assisted classical capacity is given.

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Cited by 5 Pith papers

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

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    Irreducibly covariant quantum channels satisfy a quantum version of the expander mixing lemma: uniformity implies spectral expansion up to the optimal constant 2π².

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  4. Diagonal Unitary Covariant Superchannels

    quant-ph 2025-12 accept novelty 6.0 of 10

    Diagonal-unitary-covariant superchannels are exactly characterized by four independent block components A,B,C,D with explicit complete-positivity and trace-preservation conditions.

  5. Classical capacity of the generalized Pauli channels

    quant-ph 2019-08 conditional novelty 5.0 of 10

    The paper derives lower and upper Holevo capacity bounds for generalized Pauli channels and obtains exact classical capacities for Pauli channels and symmetric two-parameter channels.

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