dorsal/arxiv
View SchemaProbabilities from envariance?
| Authors | Ulrich Mohrhoff |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401180 |
| URL | https://arxiv.org/abs/quant-ph/0401180 |
| DOI | 10.1142/S0219749904000195 |
| Journal | International Journal of Quantum Information 2(2), 221-230 (2004) |
Abstract
Zurek claims to have derived Born's rule noncircularly in the context of an ontological no-collapse interpretation of quantum states, without any "deus ex machina imposition of the symptoms of classicality." After a brief review of Zurek's derivation it is argued that this claim is exaggerated if not wholly unjustified. In order to demonstrate that Born's rule arises noncircularly from deterministically evolving quantum states, it is not sufficient to assume that quantum states are somehow associated with probabilities and then prove that these probabilities are given by Born's rule. One has to show how irreducible probabilities can arise in the context of an ontological no-collapse interpretation of quantum states. It is argued that the reason why all attempts to do this have so far failed is that quantum states are fundamentally algorithms for computing correlations between possible measurement outcomes, rather than evolving ontological states.
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"abstract": "Zurek claims to have derived Born\u0027s rule noncircularly in the context of an\nontological no-collapse interpretation of quantum states, without any \"deus ex\nmachina imposition of the symptoms of classicality.\" After a brief review of\nZurek\u0027s derivation it is argued that this claim is exaggerated if not wholly\nunjustified. In order to demonstrate that Born\u0027s rule arises noncircularly from\ndeterministically evolving quantum states, it is not sufficient to assume that\nquantum states are somehow associated with probabilities and then prove that\nthese probabilities are given by Born\u0027s rule. One has to show how irreducible\nprobabilities can arise in the context of an ontological no-collapse\ninterpretation of quantum states. It is argued that the reason why all attempts\nto do this have so far failed is that quantum states are fundamentally\nalgorithms for computing correlations between possible measurement outcomes,\nrather than evolving ontological states.",
"arxiv_id": "quant-ph/0401180",
"authors": [
"Ulrich Mohrhoff"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0219749904000195",
"journal_ref": "International Journal of Quantum Information 2(2), 221-230 (2004)",
"title": "Probabilities from envariance?",
"url": "https://arxiv.org/abs/quant-ph/0401180"
},
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