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

Grigori Gennadievich Amosov, Мокеев Александр Сергеевич · Lobachevskii Journal of Mathematics · 2020

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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