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29 March 2024
 
  » arxiv » 1509.8253

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Weak Measurements, Quantum State Collapse and the Born Rule
Apoorva Patel ; Parveen Kumar ;
Date 28 Sep 2015
AbstractProjective measurement is used as a fundamental axiom in quantum mechanics, even though it is discontinuous and cannot predict which measured operator eigenstate will be observed in which experimental run. The probabilistic Born rule gives it an ensemble interpretation, predicting proportions of various outcomes over many experimental runs. Understanding gradual weak measurements requires replacing this scenario with a dynamical evolution equation for the collapse of the quantum state in individual experimental runs. We propose such an equation, which combines attraction towards the measured operator eigenstates with stochastic white noise, and for a specific ratio of the two reproduces the Born rule. The irreducible measurement noise then becomes a fundamental property of quantum mechanics, and a necessary ingredient for any attempt to generate quantum mechanics from an underlying theory.
Source arXiv, 1509.8253
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