Entanglement Symmetry, Amplitudes, and Probabilities: Inverting Born's Rule
Quantum Physics
2011-07-28 v1 Statistical Mechanics
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1105.4810,
title = {Entanglement Symmetry, Amplitudes, and Probabilities: Inverting Born's Rule},
author = {Wojciech H. Zurek},
journal= {arXiv preprint arXiv:1105.4810},
year = {2011}
}
Comments
Submitted to Physical Review Letters