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

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.

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

References in corpus (2)

• Characterizing quantum theory in terms of information-theoretic constraints
• Quantum theory from four of Hardy's axioms

Cited by in corpus (14)

• Physical Theories, Eternal Inflation, and Quantum Universe
• Born in an Infinite Universe: a Cosmological Interpretation of Quantum Mechanics
• Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons
• Consistent probabilities in loop quantum cosmology
• Classical Vs Quantum Probability in Sequential Measurements
• Many-Measurements or Many-Worlds? A Dialogue
• A quantum measure of the multiverse
• Many worlds and the emergence of probability in quantum mechanics
• Born rule: quantum probability as classical probability
• The Born rule
• The problem of quantum correlations and the totalitarian principle
• Everett's Missing Postulate and the Born Rule
• Probability in two deterministic universes
• Derivation of the Quantum Probability Rule without the Frequency Operator