Quantum linear systems theory

IR Petersen - arXiv preprint arXiv:1603.04950, 2016 - arxiv.org
This paper surveys some recent results on the theory of quantum linear systems and
presents them within a unified framework. Quantum linear systems are a class of systems …

Quantum feedback networks and control: a brief survey

GF Zhang, MR James - Chinese Science Bulletin, 2012 - Springer
The purpose of this paper is to provide a brief review of some recent developments in
quantum feedback networks and control. A quantum feedback network (QFN) is an …

Direct and indirect couplings in coherent feedback control of linear quantum systems

G Zhang, MR James - IEEE Transactions on Automatic Control, 2010 - ieeexplore.ieee.org
The purpose of this paper is to study and design direct and indirect couplings for use in
coherent feedback control of a class of linear quantum stochastic systems. A general …

A frequency domain condition for the physical realizability of linear quantum systems

AJ Shaiju, IR Petersen - IEEE Transactions on Automatic …, 2012 - ieeexplore.ieee.org
A recently emerging approach to the feedback control of linear quantum systems involves
the use of a controller which itself is a quantum linear system. This approach to quantum …

Linear quantum feedback networks

JE Gough, R Gohm, M Yanagisawa - Physical Review A—Atomic, Molecular …, 2008 - APS
The mathematical theory of quantum feedback networks has recently been developed [J.
Gough and MR James, e-print arXiv: 0804.3442 v2] for general open quantum dynamical …

Magnetometry via a double-pass continuous quantum measurement of atomic spin

BA Chase, BQ Baragiola, HL Partner, BD Black… - Physical Review A …, 2009 - APS
We argue that it is possible in principle to reduce the uncertainty of an atomic magnetometer
by double passing a far-detuned laser field through the atomic sample as it undergoes …

Physical Realizability and Preservation of Commutation and Anticommutation Relations for -Level Quantum Systems

LA Duffaut Espinosa, Z Miao, IR Petersen… - SIAM Journal on Control …, 2016 - SIAM
The purpose of this paper is to address the problem of physical realizability for n-level
quantum systems. We provide necessary and sufficient conditions for quantum stochastic …

Coherent feedback control of linear quantum optical systems via squeezing and phase shift

G Zhang, HW Joseph Lee, B Huang, H Zhang - SIAM journal on control and …, 2012 - SIAM
The purpose of this paper is to present a theoretic and numerical study of utilizing squeezing
and phase shift in coherent feedback control of linear quantum optical systems. A …

Construction of bilinear control Hamiltonians using the series product and quantum feedback

JE Gough - Physical Review A—Atomic, Molecular, and Optical …, 2008 - APS
We show that it is possible to construct closed quantum systems governed by a bilinear
Hamiltonian depending on an arbitrary input signal. This is achieved by coupling the system …

Coherent-classical estimation for linear quantum systems

S Roy, IR Petersen, EH Huntington - Automatica, 2017 - Elsevier
We study a coherent-classical estimation scheme for a class of linear quantum systems,
where the estimator is a mixed quantum–classical system that may or may not involve …