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