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.
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Research of A.S. Mokeev is supported by ‘‘Native towns,’’ a social investment program of PJSC Gazprom Neft.
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(Submitted by S. A. Grigoryan)
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Amosov, G.G., Mokeev, A.S. Non-Commutative Graphs in the Fock Space over One-Particle Hilbert Space. Lobachevskii J Math 41, 592–596 (2020). https://doi.org/10.1134/S1995080220040034
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DOI: https://doi.org/10.1134/S1995080220040034