dorsal/arxiv
View SchemaInformation-theoretic principle entails orthomodularity of a lattice
| Authors | Alexei Grinbaum |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509106 |
| URL | https://arxiv.org/abs/quant-ph/0509106 |
| DOI | 10.1007/s10702-005-1129-0 |
| Journal | Found. Phys. Lett. 18 (6) 2005, pp. 563-572 |
Abstract
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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"abstract": "Quantum logical axiomatic systems for quantum theory usually include a\npostulate that a lattice under consideration is orthomodular. We propose a\nderivation of orthomodularity from an information-theoretic axiom. This\nprovides conceptual clarity and removes a long-standing puzzle about the\nmeaning of orthomodularity.",
"arxiv_id": "quant-ph/0509106",
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"Alexei Grinbaum"
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"doi": "10.1007/s10702-005-1129-0",
"journal_ref": "Found. Phys. Lett. 18 (6) 2005, pp. 563-572",
"title": "Information-theoretic principle entails orthomodularity of a lattice",
"url": "https://arxiv.org/abs/quant-ph/0509106"
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