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In this article, we explore the possibility of achieving noise suppression for finite-dimensional quantum systems through coherent feedback. For a quantum plant which is expected to evolve according to a target trajectory, noise effect…

Quantum Physics · Physics 2024-09-10 Shikun Zhang , Guofeng Zhang

This paper is concerned with constructing an optimal controller in the coherent quantum Linear Quadratic Gaussian problem. A coherent quantum controller is itself a quantum system and is required to be physically realizable. The use of…

Quantum Physics · Physics 2012-05-21 Igor G. Vladimirov , Ian R. Petersen

A hybrid quantum-classical filtering problem, where a qubit system is disturbed by a classical stochastic process, is investigated. The strategy is to model the classical disturbance by using an optical cavity. Relations between classical…

Systems and Control · Electrical Eng. & Systems 2020-04-16 Qi Yu , Daoyi Dong , Ian R. Petersen

Quantum technologies are developing powerful tools to generate and manipulate coherent superpositions of different energy levels. Envisaging a new generation of energy-efficient quantum devices, here we explore how coherence can be…

Quantum Physics · Physics 2017-09-06 Giulio Chiribella , Yuxiang Yang

We present a variational algorithm for fault tolerant quantum computing to solve a system of linear equations which directly maximises the parameters of the target fidelity. This so-called measurement test algorithm can be applied to any…

Quantum Physics · Physics 2026-04-30 Alain Giresse Tene , Thomas Konrad

This paper considers a class of uncertain linear quantum systems subject to uncertain perturbations in the system Hamiltonian. We present a method to design a coherent robust H-infinity controller so that the closed loop system is robustly…

Systems and Control · Computer Science 2015-09-10 Chengdi Xiang , Ian R. Petersen , Daoyi Dong

We propose and experimentally demonstrate non-destructive and noiseless removal (filtering) of vacuum states from an arbitrary set of coherent states of continuous variable systems. Errors i.e. vacuum states in the quantum information are…

Quantum Physics · Physics 2009-11-13 C. Wittmann , D. Elser , U. L. Andersen , R. Filip , P. Marek , G. Leuchs

Nonlinear optical cavities are crucial both in classical and quantum optics; in particular, nowadays optical parametric oscillators are one of the most versatile and tunable sources of coherent light, as well as the sources of the highest…

Quantum Physics · Physics 2016-03-22 Carlos Navarrete-Benlloch , Eugenio Roldán , Yue Chang , Tao Shi

Robustness and reliability are two key requirements for developing practical quantum control systems. The purpose of this paper is to design a coherent feedback controller for a class of linear quantum systems suffering from Markovian…

Quantum Physics · Physics 2020-03-24 Yanan Liu , Daoyi Dong , Ian R. Petersen , Qing Gao , Steven X. Ding , Shota Yokoyama , Hidehiro Yonezawa

The purpose of this paper is to develop a model reduction theory for linear quantum stochastic systems that are commonly encountered in quantum optics and related fields, modeling devices such as optical cavities and optical parametric…

Quantum Physics · Physics 2013-08-29 Hendra I. Nurdin

Reliable preparation of entanglement between distant systems is an outstanding problem in quantum information science and quantum communication. In practice, this has to be accomplished via noisy channels (such as optical fibers) that…

Quantum Physics · Physics 2007-11-01 Liang Jiang , Jacob M. Taylor , Navin Khaneja , Mikhail D. Lukin

In this article we are interested in quantitative homogenization results for linear elliptic equations in the non-stationary situation of a straight interface between two heterogenous media. This extends the previous work [Josien, 2019] to…

Analysis of PDEs · Mathematics 2019-12-03 Marc Josien , Claudia Raithel

Entanglement is a key resource for quantum computing, sensing, and communication, however it is highly susceptible to decoherence. To address this, quantum optics has explored filtering techniques like photon ancillas and Rydberg atom…

Using the techniques of optomechanics, a high-$Q$ mechanical oscillator may serve as a link between electromagnetic modes of vastly different frequencies. This approach has successfully been exploited for the frequency conversion of…

Quantum Physics · Physics 2018-10-24 Emil Zeuthen , Albert Schliesser , Jacob M. Taylor , Anders S. Sørensen

Quantum algorithms to integrate nonlinear PDEs governing flow problems are challenging to discover but critical to enhancing the practical usefulness of quantum computing. We present here a near-optimal, robust, and end-to-end quantum…

This paper presents a method for approximating a class of complex transfer function matrices corresponding to physically realizable complex linear quantum systems. The class of linear quantum systems under consideration includes…

Systems and Control · Computer Science 2011-07-29 Ian R. Petersen

Quantum versions of control problems are often more difficult than their classical counterparts because of the additional constraints imposed by quantum dynamics. For example, the quantum LQG and quantum H infinity optimal control problems…

Quantum Physics · Physics 2015-01-28 Shanon L. Vuglar , Hadis Amini

A filtering problem for a class of quantum systems disturbed by a classical stochastic process is investigated in this paper. The classical disturbance process, which is assumed to be described by a linear stochastic differential equation,…

Quantum Physics · Physics 2017-03-28 Qi Yu , Daoyi Dong , Ian R. Petersen , Qing Gao

This paper is concerned with application of the classical Youla-Ku\v{c}era parameterization to finding a set of linear coherent quantum controllers that stabilize a linear quantum plant. The plant and controller are assumed to represent…

Quantum Physics · Physics 2015-03-10 Arash Kh. Sichani , Ian R. Petersen , Igor G. Vladimirov

Quantum noise sets a fundamental limit to the sensitivity of high-precision measurements. Suppressing it can be achieved by using non-classical states and quantum filters, which modify both the noise and signal response. We find a novel…

Quantum Physics · Physics 2021-03-09 Joe Bentley , Hendra Nurdin , Yanbei Chen , Haixing Miao