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arXiv quant-ph/0509106quant-ph
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信息论原理要求格的正交模性

Information-theoretic principle entails orthomodularity of a lattice

Alexei Grinbaum

摘要:

量子理论的量子逻辑公理系统通常包括一个假设,即所考虑的格是正交模的。我们提出了一个推导的信息理论公理的正交模性。这提供了概念上的清晰性,并消除了关于正交模性的含义的长期困惑。

英文摘要:

Quantum logical axiomatic systems for quantum theory usually include a postulate that a lattice under consideration is orthomodular. We propose a derivation of orthomodularity from an information-theoretic axiom. This provides conceptual clarity and removes a long-standing puzzle about the meaning of orthomodularity.

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