Sequential Projective Measurements for Channel Decoding

Seth Lloyd, Vittorio Giovannetti, and Lorenzo Maccone

Phys. Rev. Lett. 106, 250501 – Published 20 June 2011

Abstract

We study the transmission of classical information in quantum channels. We present a decoding procedure that is very simple but still achieves the channel capacity. It is used to give an alternative straightforward proof that the classical capacity is given by the regularized Holevo bound. This procedure uses only projective measurements and is based on successive “yes-no” tests only.

Received 30 November 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.250501

Authors & Affiliations

Seth Lloyd¹, Vittorio Giovannetti², and Lorenzo Maccone³

¹Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
²NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, piazza dei Cavalieri 7, I-56126 Pisa, Italy
³Dipartimento Fisica “A. Volta,” INFN Sezione Pavia, Università di Pavia, via Bassi 6, I-27100 Pavia, Italy