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Non-Commutative Graphs in the Fock Space over One-Particle Hilbert Space. / Amosov, G. G.; Mokeev, A. S.

In: Lobachevskii Journal of Mathematics, Vol. 41, No. 4, 04.2020, p. 592-596.

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Amosov, GG & Mokeev, AS 2020, 'Non-Commutative Graphs in the Fock Space over One-Particle Hilbert Space', Lobachevskii Journal of Mathematics, vol. 41, no. 4, pp. 592-596. https://doi.org/10.1134/S1995080220040034

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Author

Amosov, G. G. ; Mokeev, A. S. / Non-Commutative Graphs in the Fock Space over One-Particle Hilbert Space. In: Lobachevskii Journal of Mathematics. 2020 ; Vol. 41, No. 4. pp. 592-596.

BibTeX

@article{a5d74315070149ec90a75772e2ff16cb,
title = "Non-Commutative Graphs in the Fock Space over One-Particle Hilbert Space",
abstract = "In the present paper we continue our study of non-commutative operator graphs in infinite-dimensional spaces. We consider examples of the non-commutative operator graphs generated by resolutions of identity corresponding to the Heisenberg-Weyl group of operators acting on the Fock space over one-particle state space. The problem of quantum error correction for such graphs is discussed.",
keywords = "non-commutative operator graphs, covariant resolution of identity, symmetric Fock space, quantum anticliques",
author = "Amosov, {G. G.} and Mokeev, {A. S.}",
year = "2020",
month = apr,
doi = "10.1134/S1995080220040034",
language = "Английский",
volume = "41",
pages = "592--596",
journal = "Lobachevskii Journal of Mathematics",
issn = "1995-0802",
publisher = "Pleiades Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Non-Commutative Graphs in the Fock Space over One-Particle Hilbert Space

AU - Amosov, G. G.

AU - Mokeev, A. S.

PY - 2020/4

Y1 - 2020/4

N2 - In the present paper we continue our study of non-commutative operator graphs in infinite-dimensional spaces. We consider examples of the non-commutative operator graphs generated by resolutions of identity corresponding to the Heisenberg-Weyl group of operators acting on the Fock space over one-particle state space. The problem of quantum error correction for such graphs is discussed.

AB - In the present paper we continue our study of non-commutative operator graphs in infinite-dimensional spaces. We consider examples of the non-commutative operator graphs generated by resolutions of identity corresponding to the Heisenberg-Weyl group of operators acting on the Fock space over one-particle state space. The problem of quantum error correction for such graphs is discussed.

KW - non-commutative operator graphs

KW - covariant resolution of identity

KW - symmetric Fock space

KW - quantum anticliques

U2 - 10.1134/S1995080220040034

DO - 10.1134/S1995080220040034

M3 - статья

VL - 41

SP - 592

EP - 596

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 4

ER -

ID: 73209481