336 citations · 1.8k across the 72 of their papers we have counts for
54 papers · 1 filter
Quadratic-exponential functionals of Gaussian quantum processes
Igor G. Vladimirov, Ian R. Petersen, Matthew R. James
This paper is concerned with exponential moments of integral-of-quadratic functions of quantum processes with canonical commutation relations of position-momentum type. Such quadra…
Measurement-based feedback control of linear quantum stochastic systems with quadratic-exponential criteria
Igor G. Vladimirov, Matthew R. James, Ian R. Petersen
This paper is concerned with a risk-sensitive optimal control problem for a feedback connection of a quantum plant with a measurement-based classical controller. The plant is a mul…
Frequency-domain computation of quadratic-exponential cost functionals for linear quantum stochastic systems
Igor G. Vladimirov, Ian R. Petersen, Matthew R. James
This paper is concerned with quadratic-exponential functionals (QEFs) as risk-sensitive performance criteria for linear quantum stochastic systems driven by multichannel bosonic fi…
A Girsanov type representation of quadratic-exponential cost functionals for linear quantum stochastic systems
Igor G. Vladimirov, Ian R. Petersen, Matthew R. James
This paper is concerned with multimode open quantum harmonic oscillators and quadratic-exponential functionals (QEFs) as quantum risk-sensitive performance criteria. Such systems a…
A Karhunen-Loeve expansion for one-mode open quantum harmonic oscillators using the eigenbasis of the two-point commutator kernel
Igor G. Vladimirov, Matthew R. James, Ian R. Petersen
This paper considers one-mode open quantum harmonic oscillators with a pair of conjugate position and momentum variables driven by vacuum bosonic fields according to a linear quant…
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…