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Generating entangled states is one of the most important tasks in quantum information technology. However, in reality any entanglement generator must contain some characteristic uncertainty, and as a result the produced entangled state…

Quantum Physics · Physics 2019-02-20 Kensuke Gallock Yoshimura , Naoki Yamamoto

We develop a switched predictor-feedback law, which achieves global asymptotic stabilization of linear systems with input delay and with the plant and actuator states available only in (almost) quantized form. The control design relies on a…

Optimization and Control · Mathematics 2024-09-06 Florent Koudohode , Nikolaos Bekiaris-Liberis

We develop a feedback strategy based on optimal quantum feedback control for Gaussian systems to maximise the likelihood of steady-state entanglement detection between two directly interacting masses. We employ linear quadratic Gaussian…

A Lyapunov-based method is presented for stabilizing and controlling of closed quantum systems. The proposed method is constructed upon a novel quantum Lyapunov function of the system state trajectory tracking error. A positive-definite…

Quantum Physics · Physics 2021-02-02 Elham Jamalinia , Peyman Azodi , Alireza Khayatian , Peyman Setoodeh

A quantum system with discrete and continuos evolution spectrum is studied. A final pointer basis is found, that can be defined in a presised mathematical way. This result is use to explain the quantum measurement in the system.

Quantum Physics · Physics 2007-05-23 M. Castagnino , R. Laura , R. Id Betan

The dynamics of open quantum systems can be simulated by unraveling it into an ensemble of pure state trajectories undergoing non-unitary monitored evolution, which has recently been shown to undergo measurement-induced entanglement phase…

Quantum Physics · Physics 2025-03-26 Zhuo Chen , Yimu Bao , Soonwon Choi

In this paper, we propose feedback designs for manipulating a quantum state to a target state by performing sequential measurements. In light of Belavkin's quantum feedback control theory, for a given set of (projective or non-projective)…

Quantum Physics · Physics 2015-06-23 Shuangshuang Fu , Guodong Shi , Alexandre Proutiere , Matthew R. James

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

This note proposes a data-driven output-feedback stabilizing policy iteration for unknown linear discrete-time systems with unmeasurable states. Existing policy iteration methods for optimal control must start from a stabilizing control…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Dongdong Li , Jiuxiang Dong

Measurements in quantum mechanics cannot perfectly distinguish all states and necessarily disturb the measured system. We present and analyse a proposal to demonstrate fundamental limits on quantum control of a single qubit arising from…

There are many formalisms to describe quantum decoherence. However, many of them give a non general and ad hoc definition of "pointer basis" or "moving preferred basis", and this fact is a problem for the decoherence program. In this paper…

Quantum Physics · Physics 2010-11-29 Mario Castagnino , Sebastian Fortin

In this paper, we directly design a state feedback controller that stabilizes a class of uncertain nonlinear systems solely based on input-state data collected from a finite-length experiment. Necessary and sufficient conditions are derived…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Alessandro Luppi , Claudio De Persis , Pietro Tesi

We study the quantum-jump-based feedback control on the entanglement shared between two qubits with one of them subject to decoherence, while the other qubit is under the control. This situation is very relevant to a quantum system…

Quantum Physics · Physics 2015-05-19 S. C. Hou , X. L. Huang , X. X. Yi

The quantum decoherence program has become more attractive in providing an acceptable solution for the long-standing quantum measurement problem. Decoherence by quantum entanglement happens very quickly to entangle the quantum system with…

Popular Physics · Physics 2023-01-04 Mani L. Bhaumik

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

Quantum coherence is one of the clearest departures from classical physics, exhibited when a system is in a superposition of different basis states. Here the coherent superposition of three motional Fock states of a single trapped ion is…

A standard theory of thermodynamics states that a quantum system in contact with a thermal environment relaxes to the equilibrium state known as the Gibbs state wherein decoherence occurs in the system's energy eigenbasis. When the…

Quantum Physics · Physics 2020-10-20 Patrick Lee Orman , Ryoichi Kawai

We show that direct feedback based on quantum jump detection can be used to generate entangled steady states. We present a strategy that is insensitive to detection inefficiencies and robust against errors in the control Hamiltonian. This…

Quantum Physics · Physics 2009-11-13 A. R. R. Carvalho , J. J. Hope

We determine a general upper bound for the steady-state entanglement achievable by continuous feedback for systems of any number of bosonic degrees of freedom. We apply such a bound to the specific case of parametric interactions - the most…

Quantum Physics · Physics 2010-06-04 Alessio Serafini , Stefano Mancini

We show that quantum mechanical entanglement can prevail even in noisy open quantum systems at high temperature and far from thermodynamical equilibrium, despite the deteriorating effect of decoherence. The system consists of a number N of…

Quantum Physics · Physics 2007-05-23 L. Hartmann , W. Dür , H. -J. Briegel