|
| related topics |
| {measurement, state, measurements} |
| {equation, function, exp} |
| {energy, gaussian, time} |
| {let, theorem, proof} |
| {state, algorithm, problem} |
| {operator, operators, space} |
|
Efficient Simulation of Quantum State Reduction
Dorje C. Brody, Lane P. Hughston
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0203035
- categories:
- quant-ph
- comments:
- 4 pages, No Figure
- doi:
- 10.1063/1.1512975
- arxiv_id:
- quant-ph/0203035
- journal_ref:
- Journal of Mathematical Physics 43, 5254-5261 (2002)
- created:
- 2002-03-07
Full article ▸
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