dorsal/arxiv
View SchemaEfficient Simulation of Quantum State Reduction
| Authors | Dorje C. Brody, Lane P. Hughston |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203035 |
| URL | https://arxiv.org/abs/quant-ph/0203035 |
| DOI | 10.1063/1.1512975 |
| Journal | Journal of Mathematical Physics 43, 5254-5261 (2002) |
Abstract
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 modelling 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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"abstract": "The energy-based stochastic extension of the Schrodinger equation is a rather\nspecial nonlinear stochastic differential equation on Hilbert space, involving\na single free parameter, that has been shown to be very useful for modelling\nthe phenomenon of quantum state reduction. Here we construct a general closed\nform solution to this equation, for any given initial condition, in terms of a\nrandom variable representing the terminal value of the energy and an\nindependent Brownian motion. The solution is essentially algebraic in\ncharacter, involving no integration, and is thus suitable as a basis for\nefficient simulation studies of state reduction in complex systems.",
"arxiv_id": "quant-ph/0203035",
"authors": [
"Dorje C. Brody",
"Lane P. Hughston"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.1512975",
"journal_ref": "Journal of Mathematical Physics 43, 5254-5261 (2002)",
"title": "Efficient Simulation of Quantum State Reduction",
"url": "https://arxiv.org/abs/quant-ph/0203035"
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