Efficient Simulation of Quantum State Reduction

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.

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17 July 2002Accepted
21 October 2002Published

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04 Feb 2022 16:27

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09 Feb 2022 10:34

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Yes, this version has been peer-reviewed.



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