dorsal/arxiv
View SchemaStochastic Schrodinger equations as limit of discrete filtering
| Authors | John Gough, Andrei Sobolev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406055 |
| URL | https://arxiv.org/abs/quant-ph/0406055 |
| Journal | Open Sys. & Information Dyn. 11: 1-21, 2004 |
Abstract
We consider an open model possessing a Markovian quantum stochastic limit and derive the limit stochastic Schrodinger equations for the wave function conditioned on indirect observations using only the von Neumann projection postulate. We show that the diffusion (Gaussian) situation is universal as a result of the central limit theorem with the quantum jump (Poissonian) situation being an exceptional case. It is shown that, starting from the correponding limiting open systems dynamics, the theory of quantum filtering leads to the same equations, therefore establishing consistency of the quantum stochastic approach for limiting Markovian models.
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"abstract": "We consider an open model possessing a Markovian quantum stochastic limit and\nderive the limit stochastic Schrodinger equations for the wave function\nconditioned on indirect observations using only the von Neumann projection\npostulate. We show that the diffusion (Gaussian) situation is universal as a\nresult of the central limit theorem with the quantum jump (Poissonian)\nsituation being an exceptional case. It is shown that, starting from the\ncorreponding limiting open systems dynamics, the theory of quantum filtering\nleads to the same equations, therefore establishing consistency of the quantum\nstochastic approach for limiting Markovian models.",
"arxiv_id": "quant-ph/0406055",
"authors": [
"John Gough",
"Andrei Sobolev"
],
"categories": [
"quant-ph"
],
"journal_ref": "Open Sys. \u0026 Information Dyn. 11: 1-21, 2004",
"title": "Stochastic Schrodinger equations as limit of discrete filtering",
"url": "https://arxiv.org/abs/quant-ph/0406055"
},
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