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.
von Neumann,Mathematische Grundlagen der Quantenmechanik(Springer, Berlin, 1932)
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Quantum analytical mechanics completes standard quantum mechanics by deriving equations of motion for stochastic trajectories of hidden variables in the configuration space of quantum systems.
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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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Quantum Analytical Mechanics: Quantum Mechanics with Hidden Variables
Quantum analytical mechanics completes standard quantum mechanics by deriving equations of motion for stochastic trajectories of hidden variables in the configuration space of quantum systems.