On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurements
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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 language | English |
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Journal | Problems of Information Transmission |
Volume | 50 |
Issue number | 3 |
Pages (from-to) | 232-246 |
Number of pages | 15 |
ISSN | 0032-9460 |
DOIs | |
Publication status | Published - 2014 |
ID: 171553441