5 papers
Renyi's Relative Entropy Lyapunov Functional for Convergence to Invariant Measure in Dissipative Stochastic Hamiltonian Systems
Igor G. Vladimirov
This paper is concerned with multivariable stochastic Hamiltonian systems governed by an ordinary differential equation for the position and an Ito stochastic differential equation…
Pointwise and dynamic programming control synthesis for finite-level open quantum memory systems
Igor G. Vladimirov, Ian R. Petersen, Guodong Shi
This paper is concerned with finite-level quantum memory systems for retaining initial dynamic variables in the presence of external quantum noise. The system variables have an alg…
Filtering and 1/3 Power Law for Optimal Time Discretisation in Numerical Integration of Stochastic Differential Equations
Igor G. Vladimirov
This paper is concerned with the numerical integration of stochastic differential equations (SDEs) which govern diffusion processes driven by a standard Wiener process. With the la…
Position-momentum conditioning, relative entropy decomposition and convergence to equilibrium in stochastic Hamiltonian systems
Igor G. Vladimirov
This paper is concerned with a class of multivariable stochastic Hamiltonian systems whose generalised position is related by an ordinary differential equation to the momentum gove…
Effects of parametric uncertainties in cascaded open quantum harmonic oscillators and robust generation of Gaussian invariant states
Igor G. Vladimirov, Ian R. Petersen, Matthew R. James
This paper is concerned with the generation of Gaussian invariant states in cascades of open quantum harmonic oscillators governed by linear quantum stochastic differential equatio…