dorsal/arxiv
View SchemaThe Linearity of Quantum Mechanics at Stake: The Description of Separated Quantum Entities
| Authors | Diederik Aerts, Frank Valckenborgh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205162 |
| URL | https://arxiv.org/abs/quant-ph/0205162 |
| DOI | 10.1142/9789812778024_0002 |
Abstract
We consider the situation of a physical entity that is the compound entity consisting of two 'separated' quantum entities. In earlier work it has been proven by one of the authors that such a physical entity cannot be described by standard quantum mechanics. More precisely, it was shown that two of the axioms of traditional quantum axiomatics are at the origin of the impossibility for standard quantum mechanics to describe this type of compound entity. One of these axioms is equivalent with the superposition principle, which means that separated quantum entities put the linearity of quantum mechanics at stake. We analyze the conceptual steps that are involved in this proof, and expose the necessary material of quantum axiomatics to be able to understand the argument
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"abstract": "We consider the situation of a physical entity that is the compound entity\nconsisting of two \u0027separated\u0027 quantum entities. In earlier work it has been\nproven by one of the authors that such a physical entity cannot be described by\nstandard quantum mechanics. More precisely, it was shown that two of the axioms\nof traditional quantum axiomatics are at the origin of the impossibility for\nstandard quantum mechanics to describe this type of compound entity. One of\nthese axioms is equivalent with the superposition principle, which means that\nseparated quantum entities put the linearity of quantum mechanics at stake. We\nanalyze the conceptual steps that are involved in this proof, and expose the\nnecessary material of quantum axiomatics to be able to understand the argument",
"arxiv_id": "quant-ph/0205162",
"authors": [
"Diederik Aerts",
"Frank Valckenborgh"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/9789812778024_0002",
"title": "The Linearity of Quantum Mechanics at Stake: The Description of Separated Quantum Entities",
"url": "https://arxiv.org/abs/quant-ph/0205162"
},
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