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

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Standard

On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurements. / Shirokov, M. E.; Shulman, Tatiana.

In: Problems of Information Transmission, Vol. 50, No. 3, 2014, p. 232-246.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Shirokov, ME & Shulman, T 2014, 'On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurements', Problems of Information Transmission, vol. 50, no. 3, pp. 232-246. https://doi.org/10.1134/S003294601403003X

APA

Shirokov, M. E., & Shulman, T. (2014). On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurements. Problems of Information Transmission, 50(3), 232-246. https://doi.org/10.1134/S003294601403003X

Vancouver

Shirokov ME, Shulman T. On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurements. Problems of Information Transmission. 2014;50(3):232-246. https://doi.org/10.1134/S003294601403003X

Author

Shirokov, M. E. ; Shulman, Tatiana. / On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurements. In: Problems of Information Transmission. 2014 ; Vol. 50, No. 3. pp. 232-246.

Bibtex

@article{840a34894a014422b69ee039a01a1f65,
title = "On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurements",
abstract = "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.",
author = "Shirokov, {M. E.} and Tatiana Shulman",
year = "2014",
doi = "10.1134/S003294601403003X",
language = "English",
volume = "50",
pages = "232--246",
journal = "Problemy Peredachi Informatsii",
issn = "0555-2923",
publisher = "M A I K Nauka - Interperiodica",
number = "3",

}

RIS

TY - JOUR

T1 - On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurements

AU - Shirokov, M. E.

AU - Shulman, Tatiana

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

U2 - 10.1134/S003294601403003X

DO - 10.1134/S003294601403003X

M3 - Journal article

AN - SCOPUS:84910005673

VL - 50

SP - 232

EP - 246

JO - Problemy Peredachi Informatsii

JF - Problemy Peredachi Informatsii

SN - 0555-2923

IS - 3

ER -

ID: 171553441