On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurements

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  • M. E. Shirokov
  • Tatiana Shulman

We give a detailed description of a low-dimensional quantum channel (input dimension 4, Choi rank 3) demonstrating the symmetric form of superactivation of one-shot quantum zero-error capacity. This property means appearance of a noiseless (perfectly reversible) subchannel in the tensor square of a channel having no noiseless subchannels. Then we describe a quantum channel with an arbitrary given level of symmetric superactivation (including the infinite value). We also show that superactivation of one-shot quantum zero-error capacity of a channel can be reformulated in terms of quantum measurement theory as appearance of an indistinguishable subspace for the tensor product of two observables having no indistinguishable subspaces.

Original languageEnglish
JournalProblems of Information Transmission
Volume50
Issue number3
Pages (from-to)232-246
Number of pages15
ISSN0032-9460
DOIs
Publication statusPublished - 2014

ID: 171553441