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Quantum Algorithms

Achieving the Holevo bound via sequential measurements

arXiv
Authors: Vittorio Giovannetti, Seth Lloyd, Lorenzo Maccone

Year

2010

Paper ID

28747

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

Abstract

We present a new decoding procedure to transmit classical information in a quantum channel which, saturating asymptotically the Holevo bound, achieves the optimal rate of the communication line. Differently from 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.

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  • We present a new decoding procedure to transmit classical information in a quantum channel which, saturating asymptotically the Holevo bound, achieves the optimal rate of the...

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