Achieving the Holevo bound via sequential measurements

Achieving the Holevo bound via sequential measurements

We present a decoding procedure to transmit classical information in a quantum channel which, saturating asymptotically the Holevo bound, achieves the optimal rate of the communication line. In contrast to previous proposals, it is based on performing a sequence of projective YES-NO measurements whi...

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Veröffentlicht in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2012-01, Vol.85 (1), Article 012302
Hauptverfasser: Giovannetti, Vittorio, Lloyd, Seth, Maccone, Lorenzo
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Sprache:eng
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Asymptotic properties
Channels
Decoding
Error analysis
Optimization
Proposals
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container_title Physical review. A, Atomic, molecular, and optical physics
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creator Giovannetti, Vittorio
Lloyd, Seth
Maccone, Lorenzo
description We present a decoding procedure to transmit classical information in a quantum channel which, saturating asymptotically the Holevo bound, achieves the optimal rate of the communication line. In contrast to previous proposals, it is based on performing a sequence of projective YES-NO measurements which in N steps determines which codeword was sent by the sender (N being the number of the codewords). Our analysis shows that, as long as N is below the limit imposed by the Holevo bound, the error probability can be sent to zero asymptotically in the length of the codewords.
doi_str_mv 10.1103/PhysRevA.85.012302
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subjects Asymptotic properties
Channels
Decoding
Error analysis
Optimization
Proposals
title Achieving the Holevo bound via sequential measurements
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