Quantum Physics

    

Conservation of Entanglement ?

Authors: Elemer Elad Rosinger

Recently, [3], it was shown that in certain composite quantum systems with time independent potentials, the extent of the entanglement in an initial state is conserved during the time evolution under the Schr\"{o}dinger equation, and thus in the absence of any measurement. Here the {\it extent} of entanglement is meant in the sense of the {\it grading} function introduced and studied in [1,2]. Based on the celebrated Stone theorem on one parameter groups of unitary operators on Hilbert spaces, the question is raised whether the mentioned conservation of the extent entanglement may hold for composite quantum systems with {\it arbitrary} potential.

Comments: 16 Pages.

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Submission history

[v1] 2013-08-23 04:30:11
[v2] 2014-09-16 06:34:49

Unique-IP document downloads: 288 times

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