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Evolution speed of open quantum dynamics

Brody, Dorje C. and Longstaff, Bradley (2019) Evolution speed of open quantum dynamics Physical Review Research.

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Abstract

The space of density matrices is embedded in a Euclidean space to deduce the dynamical equation satisfied by the state of an open quantum system. The Euclidean norm is used to obtain an explicit expression for the speed of the evolution of the state. The unitary contribution to the evolution speed is given by the modified skew information of the Hamiltonian, while the radial component of the evolution speed, connected to the rate at which the purity of the state changes, is shown to be determined by the modified skew information of the Lindblad operators. An open-system analogue of the quantum navigation problem is posed, and a perturbative analysis is presented to identify the amount of change on the speed. Properties of the evolution speed are examined further through example systems, showing that the evolution speed need not be a decreasing function of time.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Brody, Dorje C.d.brody@surrey.ac.uk
Longstaff, Bradley
Date : 2019
Funders : Engineering and Physical Sciences Research Council (EPSRC)
Grant Title : Doctoral Training Partnership
Copyright Disclaimer : Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Related URLs :
Depositing User : Clive Harris
Date Deposited : 08 Nov 2019 10:58
Last Modified : 08 Nov 2019 10:58
URI: http://epubs.surrey.ac.uk/id/eprint/853084

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