Zero-Error Capacity and Invariant Subspace of a Quantum Channel

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

DOI: 10.14209/sbrt.2024.1571034730

Evento: XLII Simpósio Brasileiro de Telecomunicações e Processamento de Sinais (SBrT2024)

Keywords:

Abstract

In this paper, we explore the connection between the zero-error capacity and the invariant subspace of a quantum channel. We begin by demonstrating that a quantum channel with two invariant subspaces, which only have trivial intersections, has a positive zero-error capacity. Additionally, we establish that an unital quantum channel with a non-trivial invariant subspace of at least two dimensions also has a positive zero-error capacity.

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