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.

OriginalsprogEngelsk
TidsskriftProblems of Information Transmission
Vol/bind50
Udgave nummer3
Sider (fra-til)232-246
Antal sider15
ISSN0032-9460
DOI
StatusUdgivet - 2014

ID: 171553441