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An evolutionary formalism for weak quantum measurements

Patel, Apoorva and Kumar, Parveen (2015) An evolutionary formalism for weak quantum measurements. In: CURRENT SCIENCE, 109 (11). pp. 2017-2022.

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Official URL: http://www.currentscience.ac.in/Volumes/109/11/201...

Abstract

Unitary evolution and projective measurement are fundamental axioms of quantum mechanics. Even though projective measurement yields one of the eigenstates of the measured operator as the outcome, there is no theory that predicts which eigenstate will be observed in which experimental run. There exists only an ensemble description, which predicts probabilities of various outcomes over many experimental runs. We propose a dynamical evolution equation for the projective collapse of the quantum state in individual experimental runs, which is consistent with the well-established framework of quantum mechanics. In case of gradual weak measurements, its predictions for ensemble evolution are different from those of the Born rule. It is an open question whether or not suitably designed experiments can observe this alternate evolution.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the INDIAN ACAD SCIENCES, C V RAMAN AVENUE, SADASHIVANAGAR, P B #8005, BANGALORE 560 080, INDIA
Keywords: Born rule; decoherence; density matrix; fixed point; quantum trajectory; state collapse
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 07 Jan 2016 04:56
Last Modified: 07 Jan 2016 04:56
URI: http://eprints.iisc.ac.in/id/eprint/53036

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