Achieving the Holevo bound via sequential measurements
Quantum Physics
2013-05-30 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1012.0386,
title = {Achieving the Holevo bound via sequential measurements},
author = {Vittorio Giovannetti and Seth Lloyd and Lorenzo Maccone},
journal= {arXiv preprint arXiv:1012.0386},
year = {2013}
}
Comments
10 pages, 1 figure