dorsal/arxiv
View SchemaThe Nature of Information in Quantum Mechanics
| Authors | Rocco Duvenhage |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203070 |
| URL | https://arxiv.org/abs/quant-ph/0203070 |
| DOI | 10.1023/A:1020359806696 |
| Journal | Found. Phys. 32, 1399-1417 (2002) |
Abstract
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.
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"abstract": "A suitable unified statistical formulation of quantum and classical mechanics\nin a *-algebraic setting leads us to conclude that information itself is\nnoncommutative in quantum mechanics. Specifically we refer here to an\nobserver\u0027s information regarding a physical system. This is seen as the main\ndifference from classical mechanics, where an observer\u0027s information regarding\na physical system obeys classical probability theory. Quantum mechanics is then\nviewed purely as a mathematical framework for the probabilistic description of\nnoncommutative information, with the projection postulate being a\nnoncommutative generalization of conditional probability. This view clarifies\nmany problems surrounding the interpretation of quantum mechanics, particularly\nproblems relating to the measuring process.",
"arxiv_id": "quant-ph/0203070",
"authors": [
"Rocco Duvenhage"
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"doi": "10.1023/A:1020359806696",
"journal_ref": "Found. Phys. 32, 1399-1417 (2002)",
"title": "The Nature of Information in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0203070"
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