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On non-commutative operator graphs generated by covariant resolutions of identity. / Amosov, G. G.; Mokeev, A. S.

In: Quantum Information Processing, Vol. 17, No. 12, 325, 01.12.2018.

Research output: Contribution to journal › Article › peer-review

Harvard

Amosov, GG & Mokeev, AS 2018, 'On non-commutative operator graphs generated by covariant resolutions of identity', Quantum Information Processing, vol. 17, no. 12, 325. https://doi.org/10.1007/s11128-018-2072-x

APA

Amosov, G. G., & Mokeev, A. S. (2018). On non-commutative operator graphs generated by covariant resolutions of identity. Quantum Information Processing, 17(12), [325]. https://doi.org/10.1007/s11128-018-2072-x

Vancouver

Amosov GG, Mokeev AS. On non-commutative operator graphs generated by covariant resolutions of identity. Quantum Information Processing. 2018 Dec 1;17(12). 325. https://doi.org/10.1007/s11128-018-2072-x

Author

Amosov, G. G. ; Mokeev, A. S. / On non-commutative operator graphs generated by covariant resolutions of identity. In: Quantum Information Processing. 2018 ; Vol. 17, No. 12.

BibTeX

@article{0a5e537c0d664a9c87f4350b57c04cf5,
title = "On non-commutative operator graphs generated by covariant resolutions of identity",
abstract = "We study non-commutative operator graphs generated by resolutions of identity covariant with respect to unitary representations of a compact group. Our main goal is searching for orthogonal projections which are anticliques (error-correcting codes) for such graphs. A special attention is paid to the covariance with respect to unitary representations of the circle group. We determine a tensor product structure in the space of representation under which the obtained anticliques are generated by entangled vectors.",
keywords = "Covariant resolutions of identity, Entangled vectors, Non-commutative operator graphs, Quantum anticliques",
author = "Amosov, {G. G.} and Mokeev, {A. S.}",
year = "2018",
month = dec,
day = "1",
doi = "10.1007/s11128-018-2072-x",
language = "English",
volume = "17",
journal = "Quantum Information Processing",
issn = "1570-0755",
publisher = "Springer Nature",
number = "12",

}

RIS

TY - JOUR

T1 - On non-commutative operator graphs generated by covariant resolutions of identity

AU - Amosov, G. G.

AU - Mokeev, A. S.

PY - 2018/12/1

Y1 - 2018/12/1

N2 - We study non-commutative operator graphs generated by resolutions of identity covariant with respect to unitary representations of a compact group. Our main goal is searching for orthogonal projections which are anticliques (error-correcting codes) for such graphs. A special attention is paid to the covariance with respect to unitary representations of the circle group. We determine a tensor product structure in the space of representation under which the obtained anticliques are generated by entangled vectors.

AB - We study non-commutative operator graphs generated by resolutions of identity covariant with respect to unitary representations of a compact group. Our main goal is searching for orthogonal projections which are anticliques (error-correcting codes) for such graphs. A special attention is paid to the covariance with respect to unitary representations of the circle group. We determine a tensor product structure in the space of representation under which the obtained anticliques are generated by entangled vectors.

KW - Covariant resolutions of identity

KW - Entangled vectors

KW - Non-commutative operator graphs

KW - Quantum anticliques

UR - http://www.scopus.com/inward/record.url?scp=85055174021&partnerID=8YFLogxK

U2 - 10.1007/s11128-018-2072-x

DO - 10.1007/s11128-018-2072-x

M3 - Article

AN - SCOPUS:85055174021

VL - 17

JO - Quantum Information Processing

JF - Quantum Information Processing

SN - 1570-0755

IS - 12

M1 - 325

ER -

ID: 41887354