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The implementation of a combination of continuous weak measurement and classical feedback provides a powerful tool for controlling the evolution of quantum systems. In this work, we investigate the potential of this approach from three…

Quantum Gases · Physics 2021-12-17 Jeremy T. Young , Alexey V. Gorshkov , I. B. Spielman

The present work analyzes state-stabilization techniques for decoupling a subsystem from environmental interactions. The proposed framework uses analytical and numerical tools to find an approximate decoherence-free subspace (DFS) with…

Quantum Physics · Physics 2025-07-11 Miguel Casanova , Francesco Ticozzi

Quantum entanglement plays a fundamental role in quantum computation and quantum communication. Feedback control has been widely used in stochastic quantum systems to generate given entangled states since it has good robustness, where the…

Quantum Physics · Physics 2023-07-28 Yanan Liu , Daoyi Dong , Sen Kuang , Ian R. Petersen , Hidehiro Yonezawa

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 performance and scalability of semiconductor quantum-dot (QD) qubits are limited by electrostatic drift and charge noise that shift operating points and destabilize qubit parameters. As systems expand to large one- and two-dimensional…

We have studied theoretically the basic operation of a quantum feedback loop designed to maintain a desired phase of quantum coherent oscillations in a single solid-state qubit. The degree of oscillations synchronization with external…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Rusko Ruskov , Alexander N. Korotkov

The effectiveness of measurement-based feedback control (MBFC) protocols is hampered by the presence of measurement noise, which affects the ability to accurately infer the underlying dynamics of a quantum system from noisy continuous…

Quantum Physics · Physics 2023-11-23 Sangkha Borah , Bijita Sarma

For a general class of dynamical systems (of which the canonical continuous and uniform discrete versions are but special cases), we prove that there is a state feedback gain such that the resulting closed-loop system is uniformly…

Optimization and Control · Mathematics 2009-10-19 Billy J. Jackson , John M. Davis , Ian A. Gravagne , Robert J. Marks

In the context of a charge qubit under continuous monitoring by a single electron transistor, we propose an unraveling of the generalized quantum Markovian master equation into an ensemble of individual quantum trajectories for stochastic…

Mesoscale and Nanoscale Physics · Physics 2015-02-26 JunYan Luo , Jinshuang Jin , Shi-Kuan Wang , Jing Hu , Yixiao Huang , Xiao-Ling He

We have analyzed theoretically the operation of the Bayesian quantum feedback of a solid-state qubit, designed to maintain perfect coherent oscillations in the qubit for arbitrarily long time. In particular, we have studied the feedback…

Mesoscale and Nanoscale Physics · Physics 2010-04-05 Qin Zhang , Rusko Ruskov , Alexander N. Korotkov

We demonstrate unconditional quantum-noise suppression in a collective spin system via feedback control based on quantum non-demolition measurement (QNDM). We perform shot-noise limited collective spin measurements on an ensemble of…

Quantum Physics · Physics 2013-04-19 Ryotaro Inoue , Shin-Ichi-Ro Tanaka , Ryo Namiki , Takahiro Sagawa , Yoshiro Takahashi

The dynamics for an open quantum system can be `unravelled' in infinitely many ways, depending on how the environment is monitored, yielding different sorts of conditioned states, evolving stochastically. In the case of ideal monitoring…

Quantum Physics · Physics 2014-11-21 L. Li , A. Chia , H. M. Wiseman

We consider the stabilisation of solutions to the Cahn-Hilliard equation towards a given trajectory by means of a finite-dimensional static output feedback mechanism. Exponential stabilisation of the controlled state around the target…

Optimization and Control · Mathematics 2025-05-01 Herbert Egger , Marvin Fritz , Karl Kunisch , Sérgio S. Rodrigues

Thermodynamic principles governing energy and information are important tools for a deeper understanding and better control of quantum systems. In this work, we experimentally investigate the interplay of the thermodynamic costs and…

In this paper, we consider stochastic master equations describing the evolution of quantum spin-1/2 systems interacting with electromagnetic fields undergoing continuous-time measurements. We suppose that the initial states and the exact…

Optimization and Control · Mathematics 2020-04-14 Weichao Liang , Nina H. Amini , Paolo Mason

As an application of the simultaneous and continuous measurement of noncommutative observables formulated in our previous paper [C. Jiang and G. Watanabe, Phys. Rev. A 102, 062216 (2020)], we propose a scheme to generate the pure ideal…

Quantum Physics · Physics 2022-04-20 Chao Jiang , Gentaro Watanabe

We propose a quantum feedback scheme for the preparation and protection of photon number states of light trapped in a high-Q microwave cavity. A quantum non-demolition measurement of the cavity field provides information on the photon…

Quantum Physics · Physics 2011-07-21 I. Dotsenko , M. Mirrahimi , M. Brune , S. Haroche , J. -M. Raimond , P. Rouchon

This paper addresses optimal feedback stabilizing control for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations, affected by state and process noise. Instead of directly stabilizing the uncertain system, we…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Mohammad Khajenejad

In the solid-state circuit QED system and based on the homodyne measurement in dispersive regime, we demonstrate that a homodyne-current-based feedback can create and stabilize highly entangled two-qubit states in the presence of moderate…

Quantum Physics · Physics 2011-09-30 Zhuo Liu , Lulin Kuang , Kai Hu , Luting Xu , Suhua Wei , Lingzhen Guo , Xin-Qi Li

We demonstrate a fast, robust and non-destructive protocol for quantum state estimation based on continuous weak measurement in the presence of a controlled dynamical evolution. Our experiment uses optically probed atomic spins as a…

Quantum Physics · Physics 2009-11-13 Greg A. Smith , Andrew Silberfarb , Ivan H. Deutsch , Poul S. Jessen