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arXiv quant-ph/0203070quant-ph
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量子力学中的信息本质

The Nature of Information in Quantum Mechanics

Rocco Duvenhage

摘要:

在 *-代数环境中,量子力学和经典力学的一个合适的统一统计公式使我们得出结论,在量子力学中,信息本身是非交换的。具体地说,我们在这里指的是观察者关于物理系统的信息。这被视为与经典力学的主要区别,在经典力学中,观察者关于物理系统的信息服从经典概率论。然后,量子力学被看作是一个纯粹的数学框架的概率描述的非交换信息,与投影公设是一个非交换推广的条件概率。这个观点澄清了许多围绕着量子力学解释的问题,特别是与测量过程有关的问题。

英文摘要:

A suitable unified statistical formulation of quantum and classical mechanics in a *-algebraic setting leads us to conclude that information itself is noncommutative in quantum mechanics. Specifically we refer here to an observer's information regarding a physical system. This is seen as the main difference from classical mechanics, where an observer's information regarding a physical system obeys classical probability theory. Quantum mechanics is then viewed purely as a mathematical framework for the probabilistic description of noncommutative information, with the projection postulate being a noncommutative generalization of conditional probability. This view clarifies many problems surrounding the interpretation of quantum mechanics, particularly problems relating to the measuring process.

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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