English
Related papers

Related papers: Frequency Locking of an Optical Cavity using LQG I…

200 papers

We propose a method to design a suboptimal, coherent quantum LQG controller to solve a quantum equalization problem. Our method involves reformulating the problem as a control problem and then designing a classical LQG controller and…

Quantum Physics · Physics 2023-04-05 Rebbecca TY Thien , Shanon L. Vuglar , Ian R. Petersen

We present a stabilization technique developed to lock and dynamically tune the resonant frequency of a moderate finesse Fabry-P\'erot (FP) cavity used in precision atom-cavity quantum electrodynamics (QED) experiments. Most experimental…

Atomic Physics · Physics 2023-10-26 S. P. Dinesh , V. R. Thakar , V. I. Gokul , Arun Bahuleyan , S. A. Rangwala

A linear-quadratic (LQ, for short) optimal control problem is considered for mean-field stochastic differential equations with constant coefficients in an infinite horizon. The stabilizability of the control system is studied followed by…

Optimization and Control · Mathematics 2012-08-28 Jianhui Huang , Xun Li , Jiongmin Yong

Linear Quadratic Gaussian (LQG) control is a framework first introduced in control theory that provides an optimal solution to linear problems of regulation in the presence of uncertainty. This framework combines Kalman-Bucy filters for the…

Neurons and Cognition · Quantitative Biology 2020-05-14 Manuel Baltieri , Christopher L. Buckley

To obtain a high degree of long-term length stabilisation of an optical reference cavity, its free-spectral range is locked by means of an accurate and stable frequency synthesizer. The locking scheme is twofold: a laser is locked on the…

Finding strategies to preserve quantum resources in open systems is nowadays a main requirement for reliable quantum-enhanced technologies. We address this issue by considering structured cavities embedding qubits driven by a control…

Quantum Physics · Physics 2018-09-18 Ali Mortezapour , Rosario Lo Franco

We demonstrate the use of a low power near-infrared laser illuminating the front facet of a quantum cascade laser (QCL) as an optical actuator for the coherent control of a mid-infrared frequency comb. We show that by appropriate current…

Broadly speaking, this thesis is about nonlinear optics, quantum mechanics, and computing. More specifically, it covers four main topics: Coherent LQG Control, Free-Carrier Oscillations, Optical Ising Machines and Pulsed OPO Dynamics. Tying…

Quantum Physics · Physics 2016-08-29 Ryan Hamerly

The future laser interferometric gravitational-wave detectors sensitivity can be improved using squeezed light. In particular, recently a scheme which uses the optical field with frequency dependent squeeze factor, prepared by means of a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Ya. Khalilli

We study the distributed Linear Quadratic Gaussian (LQG) control problem in discrete-time and finite-horizon, where the controller depends linearly on the history of the outputs and it is required to lie in a given subspace, e.g. to possess…

Systems and Control · Electrical Eng. & Systems 2021-07-14 Luca Furieri , Maryam Kamgarpour

We suggest a new method for quantum optical control with nanoscale resolution. Our method allows for coherent far-field manipulation of individual quantum systems with spatial selectivity that is not limited by the wavelength of radiation…

Quantum Physics · Physics 2008-03-10 Alexey V. Gorshkov , Liang Jiang , Markus Greiner , Peter Zoller , Mikhail D. Lukin

We study the cooling performance of optical-feedback controllers for open optical and mechanical resonators in the Linear Quadratic Gaussian setting of stochastic control theory. We utilize analysis and numerical optimization of closed-loop…

Quantum Physics · Physics 2018-11-19 Ryan Hamerly , Hideo Mabuchi

This paper considers some formulations and possible approaches to the coherent LQG and $H^\infty$ quantum control problems. Some new results for these problems are presented in the case of annihilation operator only quantum systems showing…

Quantum Physics · Physics 2013-08-28 Ian R. Petersen

Quantum optical states which have no coherent amplitude, such as squeezed vacuum states, can not rely on standard readout techniques to generate error signals for control of the quadrature phase. Here we investigate the use of asymmetry in…

We stabilized the frequencies of two independent Nd:YAG lasers to two adjacent longitudinal modes of a high-finesse Fabry-P\'erot resonator and obtained a beat frequency instability of 6.3 mHz at an integration time of 40 s. Referred to a…

Optics · Physics 2012-12-19 Qun-Feng Chen , Alexander Nevsky , Stephan Schiller

This paper is concerned with the coherent quantum linear-quadratic-Gaussian control problem of minimising an infinite-horizon mean square cost for a measurement-free field-mediated interconnection of a quantum plant with a stabilising…

Quantum Physics · Physics 2022-11-15 Igor G. Vladimirov , Ian R. Petersen

Quantum control for error correction is critical for the practical use of quantum computers. We address quantum optimal control for single-shot multi-qubit gates by framing as a feasibility problem for the Hamiltonian model and then solving…

Quantum Physics · Physics 2019-05-07 Raymond J. Spiteri , Marina Schmidt , Joydip Ghosh , Ehsan Zahedinejad , Barry C. Sanders

We study the linear quadratic Gaussian (LQG) control problem, in which the controller's observation of the system state is such that a desired cost is unattainable. To achieve the desired LQG cost, we introduce a communication link from the…

Optimization and Control · Mathematics 2021-09-28 Oron Sabag , Peida Tian , Victoria Kostina , Babak Hassibi

We propose a linear optical quantum computation scheme using time-frequency degree of freedom. In this scheme, a qubit is encoded in single-photon frequency combs, and manipulation of the qubits is performed using time-resolving detectors,…

Quantum Physics · Physics 2023-06-13 Tomohiro Yamazaki , Tomoaki Arizono , Toshiki Kobayashi , Rikizo Ikuta , Takashi Yamamoto

This paper is concerned with the Coherent Quantum Linear Quadratic Gaussian (CQLQG) control problem of finding a stabilizing measurement-free quantum controller for a quantum plant so as to minimize an infinite-horizon mean square…

Quantum Physics · Physics 2015-02-03 Arash Kh. Sichani , Igor G. Vladimirov , Ian R. Petersen