The Born rule for a fixed projective measurement is the only readout map obeying square-root regularity on Fubini-Study geodesics, the universal readout Cramer-Rao bound, and operational basis calibration.
A formal proof of the Born rule from decision-theoretic assumptions
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
I develop the decision-theoretic approach to quantum probability, originally proposed by David Deutsch, into a mathematically rigorous proof of the Born rule in (Everett-interpreted) quantum mechanics. I sketch the argument informally, then prove it formally, and lastly consider a number of proposed ``counter-examples'' to show exactly which premises of the argument they violate.
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quant-ph 2verdicts
UNVERDICTED 2representative citing papers
A decision-theoretic model is developed in which quantum measurements act as uncertain decisions whose utilities encode Born's rule, enabling an imprecise-probabilities treatment of quantum uncertainty.
citing papers explorer
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Fixed-PVM Born Rule Uniqueness from Fisher Non-Expansion and Operational Calibration
The Born rule for a fixed projective measurement is the only readout map obeying square-root regularity on Fubini-Study geodesics, the universal readout Cramer-Rao bound, and operational basis calibration.
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A decision-theoretic approach to dealing with uncertainty in quantum mechanics
A decision-theoretic model is developed in which quantum measurements act as uncertain decisions whose utilities encode Born's rule, enabling an imprecise-probabilities treatment of quantum uncertainty.