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arXiv · 1105.4810

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

Wojciech H. Zurek
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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.

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Wojciech H. Zurek. 2011-05-24. Entanglement Symmetry, Amplitudes, and Probabilities: Inverting Born's Rule. https://doi.org/10.1103/physrevlett.106.250402

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