Quantum estimation, control and learning: Opportunities and challenges

D Dong, IR Petersen - Annual Reviews in Control, 2022 - Elsevier
The development of estimation and control theories for quantum systems is a fundamental
task for practical quantum technology. This vision article presents a brief introduction to …

A short walk in quantum probability

R Hudson - … Transactions of the Royal Society A …, 2018 - royalsocietypublishing.org
This is a personal survey of aspects of quantum probability related to the Heisenberg
commutation relation for canonical pairs. Using the failure, in general, of non-negativity of …

Decoherence quantification through commutation relations decay for open quantum harmonic oscillators

IG Vladimirov, IR Petersen - Systems & Control Letters, 2023 - Elsevier
This paper is concerned with multimode open quantum harmonic oscillators (OQHOs)
described by linear quantum stochastic differential equations with multichannel external …

Quadratic-exponential functionals of Gaussian quantum processes

IG Vladimirov, IR Petersen, MR James - … , Quantum Probability and …, 2021 - World Scientific
This paper is concerned with exponential moments of integral-of-quadratic functions of
quantum processes with canonical commutation relations of position-momentum type. Such …

Introduction to Quantum Mechanics and Quantum Control

D Dong, IR Petersen - Learning and Robust Control in Quantum …, 2023 - Springer
This chapter presents a brief introduction to the quantum mechanics postulates and several
classes of quantum systems, and outlines quantum control models and various quantum …

Quadratic-exponential coherent feedback control of linear quantum stochastic systems

IG Vladimirov, IR Petersen - SIAM Journal on Control and Optimization, 2025 - SIAM
This paper considers a risk-sensitive optimal control problem for a field-mediated
interconnection of a quantum plant with a coherent (measurement-free) quantum controller …

Moment dynamics and observer design for a class of quasilinear quantum stochastic systems

IG Vladimirov, IR Petersen - SIAM Journal on Control and Optimization, 2022 - SIAM
This paper is concerned with a class of open quantum systems whose dynamic variables
have an algebraic structure, similar to that of the Pauli matrices pertaining to finite-level …

Risk-sensitive performance criteria and robustness of quantum systems with a relative entropy description of state uncertainty

IG Vladimirov, IR Petersen, MR James - arXiv preprint arXiv:1802.00250, 2018 - arxiv.org
This paper considers links between the original risk-sensitive performance criterion for
quantum control systems and its recent quadratic-exponential counterpart. We discuss a …

Measuring decoherence by commutation relations decay for quasilinear quantum stochastic systems

IG Vladimirov, IR Petersen - arXiv preprint arXiv:2210.06757, 2022 - arxiv.org
This paper considers a class of open quantum systems with an algebraic structure of
dynamic variables, including the Pauli matrices for finite-level systems as a particular case …

Decoherence time in quantum harmonic oscillators as quantum memory systems

IG Vladimirov, IR Petersen - 2024 Australian & New Zealand …, 2024 - ieeexplore.ieee.org
This paper is concerned with open quantum harmonic oscillators (OQHOs) described by
linear quantum stochastic differential equations. This framework includes isolated oscillators …