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arXiv:quant-ph/0312058 · Foundations of Physics

On Zurek?s Derivation of the Born Rule

Maximilian Schlosshauer, Arthur Fine

Published Feb 1, 2005• 72 citations
arXivHTMLPDF
DOI
10.1007/s10701-004-1941-6

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In recent papers on 'envariance', Zurek has objected to the decision-theoretic approach of Deutsch and Wallace to deriving the Born rule, on the grounds that it courts circularity. Zurek then derives the Born rule in the Schrodinger Picture using properties of the global Schrodinger state. In this paper a decision-theoretic approach to probability is used in the Heisenberg Picture to derive the Born rule. This derivation uses 'quantum Darwinism' - the notion that classical information is quantum information that can proliferate in the environement - following Ollivier et al. This derivation shows that envariance is not needed to derive the Born Rule and fixes the problem with the decision-theoretic approach that was pointed out by Zurek.

•Apr 18, 2006•6 citations
In recent papers on 'envariance', Zurek has objected to the decision-theoretic approach of Deutsch and Wallace to deriving the Born rule, on the grounds that it courts circularity. Zurek then derives the Born rule in the Schrodinger Picture using properties of the global Schrodinger state. In this paper a decision-theoretic approach to probability is used in the Heisenberg Picture to derive the Born rule. This derivation uses 'quantum Darwinism' - the notion that classical information is quantum information that can proliferate in the environement - following Ollivier et al. This derivation shows that envariance is not needed to derive the Born Rule and fixes the problem with the decision-theoretic approach that was pointed out by Zurek.