Convergence of repeated quantum non-demolition measurements and wave function collapse

Details Convergence of repeated quantum non-demolition measurements and wave function collapse Convergence of repeated quantum non-demolition measurements and wave function collapse

2011-06-24

arxiv.org/abs/1106.4953v2

Phys. Rev. A84, 044103 (2011)

Physics

Mathematical Physics

4 pages, 1 figure

Scientific paper

Motivated by recent experiments on quantum trapped fields, we give a rigorous proof that repeated indirect quantum non-demolition (QND) measurements converge to the collapse of the wave function as predicted by the postulates of quantum mechanics for direct measurements. We also relate the rate of convergence toward the collapsed wave function to the relative entropy of each indirect measurement, a result which makes contact with information theory.

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