Entanglement Symmetry, Amplitudes, and Probabilities: Inverting Born's Rule

Abstract

Symmetry of entangled states under a swap of outcomes ("envariance") implies their equiprobability, and leads to Born's rule. Here I show that the amplitude of a state given by a superposition of sequences of events that share same total count (e.g., n detections of 0 and m of 1 in a spin 1/2 measurement) is proportional to the square root of the fraction - square root of the relative frequency - of all the equiprobable sequences of 0's and 1's with that n and m.

Submitted to Physical Review Letters

References in corpus (8)

• Quantum Darwinism
• Quantum origin of quantum jumps: Breaking of unitary symmetry induced by information transfer and the transition from quantum to classical
• On Zurek's derivation of the Born rule
• Experimental motivation and empirical consistency in minimal no-collapse quantum mechanics
• Discreteness and the origin of probability in quantum mechanics
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Cited by in corpus (4)

• Quantum Darwinism, Classical Reality, and the Randomness of Quantum Jumps
• Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons
• Quantum Collapse and the Second Law of Thermodynamics
• No-go theorem for environment-assisted invariance in non-unitary dynamics