A reduced complexity MIN-plus solution method to the optimal control of closed quantum systems

DOI10.1007/s00245-014-9247-3zbMath1304.49058OpenAlexW2110057653WikidataQ59446038 ScholiaQ59446038MaRDI QIDQ481002

Srinivas Sridharan, Mile Gu, Matthew R. James, William M. McEneaney

Publication date: 12 December 2014

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-014-9247-3

zbMATH Keywords

optimal controldynamic programmingnumerical methodsHJB equationquantum controlmax/min plus methods

Mathematics Subject Classification ID

Related Items (4)

Maximizing concave piecewise affine functions on the unitary group ⋮ Solution to the HJB equation for LQR-type problems on compact connected Lie groups ⋮ Second-Order Hamilton–Jacobi PDE Problems and Certain Related First-Order Problems, Part 1: Approximation ⋮ Dynamic programming and viscosity solutions for the optimal control of quantum spin systems

Uses Software

• YALMIP

Cites Work

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• Dynamic programming and viscosity solutions for the optimal control of quantum spin systems
• Max-plus methods for nonlinear control and estimation.
• Measurement, filtering and control in quantum open dynamical systems.
• Controlled Markov processes and viscosity solutions
• Lectures on Modern Convex Optimization
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Compact Lie Groups
• A Curse-of-Dimensionality-Free Numerical Method for Solution of Certain HJB PDEs
• Lie Theory for Quantum Control
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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