dorsal/arxiv
View SchemaDerivation of the Born Rule from Operational Assumptions
| Authors | Simon Saunders |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211138 |
| URL | https://arxiv.org/abs/quant-ph/0211138 |
| Journal | Proceedings of the Royal Society A, 460, 1-18 (2004) |
Abstract
The Born rule is derived from operational assumptions, independent of the normalization of the state. Unlike Gleason's theorem, the argument applies even if probabilities are defined for only a single resolution of the identity, so it applies to all the major foundational approaches to quantum mechanics. There are important points of contact with Deutsch's program for deducing the probabilistic interpretation of quantum mechanics from decision thoery, as recently completed by Wallace. Decision theory can be used to supplement the present derivation, in application to the Everett interpretation, but it is otherwise unnecessary.
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"abstract": "The Born rule is derived from operational assumptions, independent of the\nnormalization of the state. Unlike Gleason\u0027s theorem, the argument applies even\nif probabilities are defined for only a single resolution of the identity, so\nit applies to all the major foundational approaches to quantum mechanics. There\nare important points of contact with Deutsch\u0027s program for deducing the\nprobabilistic interpretation of quantum mechanics from decision thoery, as\nrecently completed by Wallace. Decision theory can be used to supplement the\npresent derivation, in application to the Everett interpretation, but it is\notherwise unnecessary.",
"arxiv_id": "quant-ph/0211138",
"authors": [
"Simon Saunders"
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"journal_ref": "Proceedings of the Royal Society A, 460, 1-18 (2004)",
"title": "Derivation of the Born Rule from Operational Assumptions",
"url": "https://arxiv.org/abs/quant-ph/0211138"
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