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.

中文翻译：

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一粒子希尔伯特空间上Fock空间中的非交换图

摘要

在本文中，我们继续研究无限维空间中的非交换算子图。我们考虑由对应于在单粒子状态空间上作用于Fock空间上的Heisenberg-Weyl算子组的恒等分解产生的非交换算子图的示例。讨论了这类图的量子误差校正问题。