Non-commutative graphs in the Fock space over one-particle Hilbert space

• URL: http://arxiv.org/abs/1912.12099v1
• Date: Fri, 27 Dec 2019 13:51:20 GMT
• Title: Non-commutative graphs in the Fock space over one-particle Hilbert space
• Authors: G.G. Amosov, A.S. Mokeev
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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