Sequential projective measurements for channel decoding

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.

New version: two important typos corrected, other modifications to enhance the manuscript

References in corpus (6)

• Coding Theorem and Strong Converse for Quantum Channels
• Error Exponent in Asymmetric Quantum Hypothesis Testing and Its Application to Classical-Quantum Channel coding
• Multiparty data hiding of quantum information
• On the distinguishability of random quantum states
• Two-sided estimates of minimum-error distinguishability of mixed quantum states via generalized Holevo-Curlander bounds
• Error rates of Belavkin weighted quantum measurements and a converse to Holevo's asymptotic optimality theorem

Cited by in corpus (6)

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• Multi-Phase Hadamard receivers for classical communication on lossy bosonic channels
• Maximal Holevo quantity based on weak measurements
• Decoding Protocols for Classical Communication on Quantum Channels