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Quantum Probability from Subjective Likelihood: improving onDeutsch's proof of the probability rule
Everett Probability Decision Theory
2008/4/22
I present a proof of the quantum probability rule from decision-theoretic assumptions, in the context of the Everett interpretation. The basic ideas behind the proof are those presented in Deutsch's r...
Quantum Probability and Decision Theory, Revisited
Quantum Mechanics Everett Interpretation
2008/4/22
An extended analysis is given of the program, originally suggested by Deutsch, of solving the probability problem in the Everett interpretation by means of decision theory. Deutsch's own proof is disc...
A likelihood order is defined over linear subspaces of a finite dimensional Hilbert space. It is shown that such an order that satisfies some plausible axioms can be represented by a quantum probabili...