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Coding theorem and strong converse for quantum channels

Published: 01 November 1999 Publication History

Abstract

We present a new proof of Holevo's (1973, 1977) coding theorem for transmitting classical information through quantum channels, and its strong converse. The technique is largely inspired by Wolfwitz's (1964) combinatorial approach using types of sequences. As a byproduct of our approach which is independent of previous ones, both in the coding theorem and the converse, we can give a new proof of Holevo's information bound

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    cover image IEEE Transactions on Information Theory
    IEEE Transactions on Information Theory  Volume 45, Issue 7
    November 1999
    551 pages

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    IEEE Press

    Publication History

    Published: 01 November 1999

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    • (2024)An Area Law for the Maximally-Mixed Ground State in Arbitrarily Degenerate Systems with Good AGSPProceedings of the 56th Annual ACM Symposium on Theory of Computing10.1145/3618260.3649612(1311-1322)Online publication date: 10-Jun-2024
    • (2024)High Probability Decoupling via Approximate Unitary Designs and Efficient Relative ThermalizationIEEE Transactions on Information Theory10.1109/TIT.2024.335906570:4(2590-2616)Online publication date: 1-Apr-2024
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    • (2023)NLTS Hamiltonians from Good Quantum CodesProceedings of the 55th Annual ACM Symposium on Theory of Computing10.1145/3564246.3585114(1090-1096)Online publication date: 2-Jun-2023
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