12 citations · 121 across the 57 of their papers we have counts for
5 papers · 1 filter
Parametric randomization, complex symplectic factorizations, and quadratic-exponential functionals for Gaussian quantum states
Igor G. Vladimirov, Ian R. Petersen, Matthew R. James
This paper combines probabilistic and algebraic techniques for computing quantum expectations of operator exponentials (and their products) of quadratic forms of quantum variables…
Direct coupling coherent quantum observers with discounted mean square performance criteria and penalized back-action
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with quantum harmonic oscillators consisting of a quantum plant and a directly coupled coherent quantum observer. We employ discounted quadratic performance…
Dissipative Linear Stochastic Hamiltonian Systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with stochastic Hamiltonian systems which model a class of open dynamical systems subject to random external forces. Their dynamics are governed by Ito stoc…
Risk-sensitive performance criteria and robustness of quantum systems with a relative entropy description of state uncertainty
Igor G. Vladimirov, Ian R. Petersen, Matthew R. James
This paper considers links between the original risk-sensitive performance criterion for quantum control systems and its recent quadratic-exponential counterpart. We discuss a conn…
Spatio-temporal transfer function conditions of positive realness for translation invariant lattice networks of interacting linear systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with networks of interacting linear systems at sites of a multidimensional lattice. The systems are governed by linear ODEs with constant coefficients drive…