The Bellman quantum equation

DOI10.1134/S1064562406040314zbMath1139.49025OpenAlexW2060995120WikidataQ61948671 ScholiaQ61948671MaRDI QIDQ2477473

O. G. Smolyanov, John E. Gough, Vyacheslav P. Belavkin

Publication date: 13 March 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562406040314

zbMATH Keywords

Hamilton-Jacobi-Bellmann-Itô stochastic equationoptimal control problems in Banach spacesquantum filtering equation

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Control/observation systems governed by partial differential equations (93C20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Quantum theory (81-XX)

Cites Work

• Theory of the control of observable quantum systems
• Quantum continual measurements and a posteriori collapse on CCR
• Quantum stochastic calculus and quantum nonlinear filtering
• On the relation between ordinary and stochastic differential equations
• Stochastic Schrödinger equations

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