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Article overview
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Weak Measurements, Quantum State Collapse and the Born Rule | Apoorva Patel
; Parveen Kumar
; | Date: |
28 Sep 2015 | Abstract: | Projective 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 | Services: | Forum | Review | PDF | Favorites |
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