dorsal/arxiv
View SchemaQuantum theory from four of Hardy's axioms
| Authors | Ruediger Schack |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210017 |
| URL | https://arxiv.org/abs/quant-ph/0210017 |
| DOI | 10.1023/A:1026044329659 |
Abstract
In a recent paper [e-print quant-ph/0101012], Hardy has given a derivation of "quantum theory from five reasonable axioms." Here we show that Hardy's first axiom, which identifies probability with limiting frequency in an ensemble, is not necessary for his derivation. By reformulating Hardy's assumptions, and modifying a part of his proof, in terms of Bayesian probabilities, we show that his work can be easily reconciled with a Bayesian interpretation of quantum probability.
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"abstract": "In a recent paper [e-print quant-ph/0101012], Hardy has given a derivation of\n\"quantum theory from five reasonable axioms.\" Here we show that Hardy\u0027s first\naxiom, which identifies probability with limiting frequency in an ensemble, is\nnot necessary for his derivation. By reformulating Hardy\u0027s assumptions, and\nmodifying a part of his proof, in terms of Bayesian probabilities, we show that\nhis work can be easily reconciled with a Bayesian interpretation of quantum\nprobability.",
"arxiv_id": "quant-ph/0210017",
"authors": [
"Ruediger Schack"
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"doi": "10.1023/A:1026044329659",
"title": "Quantum theory from four of Hardy\u0027s axioms",
"url": "https://arxiv.org/abs/quant-ph/0210017"
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