Derivation of the quantum probability law from minimal non-demolition measurement

Abstract

One more derivation of the quantum probability rule is presented in order to shed more light on the versatile aspects of this fundamental law. It is shown that the change of state in minimal quantum non-demolition measurement, also known as ideal measurement, implies the probability law in a simple way. Namely, the very requirement of minimal change of state, put in proper mathematical form, gives the well known Lueders formula, which contains the probability rule.

8 pages

References in corpus (8)

• Decoherence, einselection, and the quantum origins of the classical
• Quantum Theory of Probability and Decisions
• Probabilities from Entanglement, Born's Rule from Envariance
• Environment - Assisted Invariance, Causality, and Probabilities in Quantum Physics
• Quantum Probability from Decision Theory?
• On Zurek's derivation of the Born rule
• Probabilities from envariance?
• Complete "Born's rule" from "environment-assisted invariance" in terms of pure-state twin unitaries