A condition for the zero-error capacity of quantum channels

Marciel Medeiros de Oliveira, Francisco M. de Assis, Micael Andrade Dias

DOI: 10.14209/sbrt.2023.1570917602

Evento: XLI Simpósio Brasileiro de Telecomunicações e Processamento de Sinais (SBrT2023)

Keywords: Quantum channels Zero-error Capacity zero-error capacity condition

Abstract

In this paper, it is proved that the eigenvectors (or eigenstates) common to the Kraus operators representing the quantum channel are fixed points of it. From this and assuming that the Kraus operators that represent the quantum channel have at least two eigenstates in common, it is proved that the zero-error capacity of the quantum channel is positive. This error-zero capacity condition is a lower bound for the error-zero capacity of the quantum channel.

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