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arXiv math/0607377math.QAmath.LOquant-ph
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量子(计算)逻辑的斜格方法

Towards a skew lattice approach to quantum (computational) logic

Karin Cvetko-Vah

摘要:

在量子力学中,每一个可观察对象都被分配了一个投影集合。两个观测量是相容的(可以同时测量),当且仅当任何两个投影分配给他们交换。这导致了非交换集的幂等元的研究,进一步导致了斜格理论,成立和探讨乔纳森利奇。在本论文中,我们将看到如何noncommuting投影可以被视为一个斜格的生成元。

英文摘要:

In quantum mechanics, each observable is assigned a collection of projections. Two observables are compatible (can be measured simultaneously) if and only if any two projections that are assigned to them commute. This led to the study of noncommuting sets of idempotents which further led to the skew lattice theory that was founded and explored by Jonathan Leech. In the present paper we shall see how noncommuting projections can be regarded as generators of a skew lattice.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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