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Different ways of modelling quantum control systems, formulating control problems and solving the resulting problems are considered and compared. In particular, we compare the performance of geometric and optimal control, as well as…

Quantum Physics · Physics 2008-01-08 Sonia G Schirmer , Peter J Pemberton-Ross , Xiaoting Wang

Large-scale quantum systems require optical coherence between distant quantum devices, necessitating spectral indistinguishability. Scalable solid-state platforms offer promising routes to this goal. However, environmental disorders,…

Environment-induced decoherence presents a great challenge to realizing a quantum computer. We point out the somewhat surprising fact that decoherence can be useful, indeed necessary, for practical quantum computation, in particular, for…

Quantum Physics · Physics 2007-07-24 R. Srikanth , Subhashish Banerjee

We address the stabilization of both classical and quantum systems modeled by jump-diffusion stochastic differential equations using a novel hysteresis switching strategy. Unlike traditional methods that depend on global Lyapunov functions…

Optimization and Control · Mathematics 2025-07-22 Weichao Liang , Gaoyue Guo

We investigate the possibility to control localization properties of the asymptotic state of an open quantum system with a tunable synthetic dissipation. The control mechanism relies on the matching between properties of dissipative…

Disordered Systems and Neural Networks · Physics 2017-11-17 O. S. Vershinina , I. I. Yusipov , S. Denisov , M. V. Ivanchenko , T. V. Laptyeva

The possibility to induce predetermined coherent quantum dynamics by controlling only the dissipative environmental parameters (such as temperature and pressure) is studied using the combined optimal control and environment engineering…

Quantum Physics · Physics 2015-08-20 Dmitry V. Zhdanov , Tamar Seideman

We consider two different collective spin systems subjected to strong dissipation -- on the same scale as interaction strengths and external fields -- and show that either continuous or discontinuous dissipative quantum phase transitions…

Quantum Physics · Physics 2008-09-23 S. Morrison , A. S. Parkins

Non-Gaussian quantum states have been deterministically prepared and autonomously stabilized in single- and two-mode circuit quantum electrodynamics architectures via engineered dissipation. However, it is currently unknown how to scale up…

Quantum Physics · Physics 2022-01-19 Petr Zapletal , Andreas Nunnenkamp , Matteo Brunelli

The thesis is contributed to the study of the decoherence dynamics of dissipative qubit systems. We reveal the profound impact of the formation of a bound state between the qubit and its local environment on the decoherence dynamics of…

Quantum Physics · Physics 2010-07-29 Qing-Jun Tong

While dissipation is widely considered as being harmful for quantum coherence, it can, when properly engineered, lead to the stabilization of non-trivial pure quantum states. We propose a scheme for continuous generation and stabilization…

Quantum Physics · Physics 2015-01-14 Ananda Roy , Zaki Leghtas , A. Douglas Stone , Michel Devoret , Mazyar Mirrahimi

Quantum reservoir engineering leverages dissipative processes to achieve desired behavior, with applications ranging from entanglement generation to quantum error correction. Therein, a structured environment acts as an entropy sink for the…

Quantum Physics · Physics 2025-12-05 Marcelo Janovitch , Matteo Brunelli , Patrick P. Potts

Dissipation can usually induce detrimental decoherence in a quantum system. However, engineered dissipation can be used to prepare and stabilize coherent quantum many-body states. Here, we show that by engineering dissipators containing…

Quantum Physics · Physics 2019-08-14 Ze-Pei Cian , Guanyu Zhu , Su-Kuan Chu , Alireza Seif , Wade DeGottardi , Liang Jiang , Mohammad Hafezi

The scope of this work is to provide a self-contained introduction to a selection of basic theoretical aspects in the modeling and control of quantum mechanical systems, as well as a brief survey on the main approaches to control synthesis.…

Quantum Physics · Physics 2012-10-29 Claudio Altafini , Francesco Ticozzi

Floquet engineering, the control of a quantum system by means of time-periodic driving, allows to modify the properties of the system so that it becomes described by an approximate effective time-independent Hamiltonian. However, in the…

Quantum Gases · Physics 2026-04-03 Lorenz Wanckel , André Eckardt

Quantum mechanics of a general one dimensional dissipative system investigated by it's coupling to a Klein-Gordon field as the environment using a minimal coupling method. Heisenberg equation for such a dissipative system containing a…

Quantum Physics · Physics 2007-05-23 F. Kheirandish , M. Amooshahi

Quantum computers have been widely speculated to offer significant advantages in obtaining the ground state of difficult Hamiltonian in chemistry and physics. In this work, we first propose a Lyapunov control-inspired strategy to accelerate…

Quantum Physics · Physics 2022-12-21 Yu-Cheng Chen , Yu-Qin Chen , Alice Hu , Chang-Yu Hsieh , Shengyu Zhang

A fundamental problem in experiments with open quantum systems is to ensure steady-state convergence within a given operational time window. Here, we devise a general state preparation recipe to control relaxation timescales and achieve…

Quantum Physics · Physics 2026-03-02 Nicolò Beato , Gianluca Teza

Simulating the dynamics of open quantum systems is essential in achieving practical quantum computation and understanding novel nonequilibrium behaviors. However, quantum simulation of a many-body system coupled to an engineered reservoir…

As a first approach to the study of systems coupling finite and infinite dimensional natures, this article addresses the stability of a system of ordinary differential equations coupled with a classic heat equation using a Lyapunov…

Analysis of PDEs · Mathematics 2018-12-12 Lucie Baudouin , Alexandre Seuret , Frédéric Gouaisbaut

Dissipative engineering constitutes a framework within which quantum information processing protocols are powered by system-environment interaction rather than by unitary dynamics alone. This framework embraces noise as a resource, and…

Quantum Physics · Physics 2015-06-05 M. J. Kastoryano , M. M. Wolf , J. Eisert
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