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arXiv:quant-ph/0409144quant-ph

Properties of the frequency operator do not imply the quantum probability postulate

Carlton M. Caves, Ruediger Schack

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Abstract

We review the properties of the frequency operator for an infinite number of systems and disprove claims in the literature that the quantum probability postulate can be derived from these properties.

arXiv comments
21 pages, no figures, REVTEX. Only change in v.2 is change the title of Sec. IIIC so that it doesn't have a \cite command in it. v.3 incorporates changes that will be published as an erratum in Annals of Physics
Journal reference
C.M. Caves and R. Schack, Ann. Phys. 315, 123--146 (2005)
DOI
doi:10.1016/j.aop.2004.09.009
Subjects
quant-phQuantum Physics

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    • Interesting. Following through the citations, this statement seems to be based on two quite old articles which criticise a different Born rule formulation based on frequency analysis: https://link.springer.com/article/10.1007%2FBF02058273…

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