Quantum Probability from Subjective Likelihood: improving on Deutsch's proof of the probability rule
Abstract
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 recent proof of the probability rule, but the proof is simpler and proceeds from weaker decision-theoretic assumptions. This makes it easier to discuss the conceptual ideas involved in the proof, and to show that they are defensible.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2003
- arXiv:
- arXiv:quant-ph/0312157
- Bibcode:
- 2003quant.ph.12157W
- Keywords:
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- Quantum Physics
- E-Print:
- 23 pages. This is a modified version of my 2003 paper, which incorporates a completely rewritten and substantially improved proof of Equivalence as well as a few other more minor changes