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We consider a controlled quantum system whose finite dimensional state is governed by a discrete-time nonlinear Markov process. In open-loop, the measurements are assumed to be quantum non-demolition (QND). The eigenstates of the measured…

Optimization and Control · Mathematics 2015-03-19 Hadis Amini , Abhinav Somaraju , Igor Dotsenko , Clement Sayrin , Mazyar Mirrahimi , Pierre Rouchon

We study theoretically continuous-variable entanglement between the motional degrees of freedom of optically trapped massive particles coupled via the Coulomb interaction, in the presence of a feedback control scheme. We perform a detailed…

Quantum Physics · Physics 2025-10-22 Gad Horovitz , Alexander N. Poddubny

This paper studies the problem of stabilizing a continuous-time switched linear system by quantized output feedback. We assume that the quantized outputs and the switching signal are available to the controller at all time. We develop an…

Systems and Control · Computer Science 2014-03-20 Masashi Wakaiki , Yutaka Yamamoto

In this article we reconsider a version of quantum trajectory theory based on the stochastic Schr\"odinger equation with stochastic coefficients, which was mathematically introduced in the '90s, and we develop it in order to describe the…

Quantum Physics · Physics 2012-10-30 Alberto Barchielli , Matteo Gregoratti

The mathematical theory of quantum feedback networks has recently been developed for general open quantum dynamical systems interacting with bosonic input fields. In this article we show, for the special case of linear dynamical systems…

Quantum Physics · Physics 2009-01-12 J. Gough , R. Gohm , M. Yanagisawa

Feedback control of quantum mechanical systems must take into account the probabilistic nature of quantum measurement. We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum…

Quantum Physics · Physics 2007-05-23 Ramon van Handel , John K. Stockton , Hideo Mabuchi

We describe a scheme with analytic result that allows to generate steady-state entanglement for two atoms over a dissipative bosonic medium. The resonant coupling between the mediating bosonic mode and cavity modes produces three collective…

Quantum Physics · Physics 2014-11-18 Li-Tuo Shen , Xin-Yu Chen , Zhen-Biao Yang , Huai-Zhi Wu , Shi-Biao Zheng

We provide a solution to the problem of determining whether a target pure state can be asymptotically prepared using dissipative Markovian dynamics under fixed locality constraints. Beside recovering existing results for a large class of…

Quantum Physics · Physics 2012-10-25 Francesco Ticozzi , Lorenza Viola

No quantum measurement can give full information on the state of a quantum system; hence any quantum feedback control problem is neccessarily one with partial observations, and can generally be converted into a completely observed control…

Mathematical Physics · Physics 2007-05-23 Mazyar Mirrahimi , Ramon van Handel

We propose and investigate a scheme based on Markovian feedback control that allows for the preparation of single targeted eigenstates of a system of bosonic atoms in a one-dimensional optical lattice with high fidelity. It can be used for…

Quantum Gases · Physics 2022-05-31 Ling-Na Wu , André Eckardt

Switching controlled dynamics allows for fast, flexible control design methods for quantum stabilization of pure states and subspaces, which naturally include both Hamiltonian and dissipative control actions. A novel approach to…

Quantum Physics · Physics 2024-06-24 Weichao Liang , Tommaso Grigoletto , Francesco Ticozzi

The structure of entanglement in the ground state of the harmonic chain is studied. A class of two-mode squeezed states, useful for this purpose, is identified. The entanglement of the local modes at the ends of the chain, after tracing out…

Quantum Physics · Physics 2026-05-11 Andrew Steane , Haru Ishizaka

We propose a scheme to improve magnon-photon-phonon entanglement in cavity magnomechanics using coherent feedback loop. In addition, we prove that the steady state and dynamical state of the system is a genuine tripartite entanglement…

Quantum Physics · Physics 2023-03-10 Mohamed Amazioug , Berihu Teklu , Muhammad Asjad

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 multimode open quantum harmonic oscillator driven by a…

Quantum Physics · Physics 2019-12-30 Igor G. Vladimirov , Matthew R. James , Ian R. Petersen

We propose a setup allowing to entangle two directly non-interacting radiation modes applying four sequential pulsed quantum resonant interactions with a noisy vibrational mode of a mechanical oscillator which plays the role of the…

Quantum Physics · Physics 2017-08-17 Nikita Vostrosablin , Andrey A. Rakhubovsky , Radim Filip

We investigate the dynamics of entanglement between two continuous variable quantum systems. The model system consists of two atoms in a harmonic trap which are interacting by a simplified s-wave scattering. We show, that the dynamically…

Quantum Physics · Physics 2009-11-07 Holger Mack , Matthias Freyberger

Since quantum feedback is based on classically accessible measurement results, it can provide fundamental insights into the dynamics of quantum systems by making available classical information on the evolution of system properties and on…

Quantum Physics · Physics 2009-11-11 Holger F. Hofmann

We show that for a fixed amount of entanglement, two-mode squeezed states are those that maximize Einstein-Podolsky-Rosen-like correlations. We use this fact to determine the entanglement of formation for all symmetric Gaussian states…

Quantum Physics · Physics 2013-01-14 G. Giedke , M. M. Wolf , O. Krueger , R. F. Werner , J. I. Cirac

Quantum error-correction codes would protect an arbitrary state of a multi-qubit register against decoherence-induced errors, but their implementation is an outstanding challenge for the development of large-scale quantum computers. A first…

Well-designed current control is a key factor in ensuring the efficient and safe operation of modular multilevel converters (MMCs). Even though this control problem involves multiple control objectives, conventional current control schemes…

Systems and Control · Electrical Eng. & Systems 2024-03-28 Victor Daniel Reyes Dreke , Ygor Pereira Marca , Maurice Roes , Mircea Lazar
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