Numerical simulation of stochastic evolution equations associated to quantum Markov semigroups

DOI10.1090/S0025-5718-03-01595-3zbMath1063.60098MaRDI QIDQ4813589

Carlos M. Mora

Publication date: 13 August 2004

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

rate of convergenceweak convergenceGalerkin methodstochastic partial differential equationsnumerical approximationquantum dynamical semigroupstochastic evolution equationquantum master equationexplicit Euler methodsimulation of quantum systems

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Monte Carlo methods (65C05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic stability in control theory (93E15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Ordinary differential equations and systems with randomness (34F05) Quantum stochastic calculus (81S25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

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Numerical solution of stochastic quantum master equations using stochastic interacting wave functions ⋮ Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions ⋮ Heisenberg evolution of quantum observables represented by unbounded operators ⋮ Numerical solution of conservative finite-dimensional stochastic Schrödinger equations

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