Brody, D C and Hughston, L P. 2002. Efficient Simulation of Quantum State Reduction. Journal of Mathematical Physics, 43(11), 5254 - 5261. ISSN 0022-2488 [Article]

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Abstract or Description

The energy-based stochastic extension of the Schrodinger equation is a rather special nonlinear stochastic differential equation on Hilbert space, involving a single free parameter, that has been shown to be very useful for modeling the phenomenon of quantum state reduction. Here we construct a general closed form solution to this equation, for any given initial condition, in terms of a random variable representing the terminal value of the energy and an independent Brownian motion. The solution is essentially algebraic in character, involving no integration, and is thus suitable as a basis for efficient simulation studies of state reduction in complex systems.

Item Type:	Article
Identification Number (DOI):	https://doi.org/10.1063/1.1512975
Departments, Centres and Research Units:	Computing
Dates:	Date Event 17 July 2002 Accepted 21 October 2002 Published
Item ID:	31360
Date Deposited:	04 Feb 2022 16:27
Last Modified:	09 Feb 2022 10:34
Peer Reviewed:	Yes, this version has been peer-reviewed.
URI:	https://research.gold.ac.uk/id/eprint/31360

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