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We develop a quantum dynamical field theory for studying phase transitions in driven open systems coupled to Markovian noise, where non-linear noise effects and fluctuations beyond semiclassical approximations influence the critical…

量子气体 · 物理学 2016-09-07 Jamir Marino , Sebastian Diehl

In this paper, we analyze classical and quantum physical systems from an optimal control perspective. Specifically, we explore whether their associated dynamics can correspond to an open or closed-loop feedback evolution of a control…

最优化与控制 · 数学 2020-06-12 Mauricio Contreras G. , Marcelo Villena

We consider the unitary time evolution of continuous quantum mechanical systems confined to a cavity in contact with a finite bath of variable size. Measures for Markovianity for such finite system-bath configurations are developed in terms…

Feedback control of open quantum systems is of fundamental importance for practical applications in various contexts, ranging from quantum computation to quantum error correction and quantum metrology. Its use in the context of…

The engineering and control of devices at the quantum-mechanical level--such as those consisting of small numbers of atoms and photons--is a delicate business. The fundamental uncertainty that is inherently present at this scale manifests…

概率论 · 数学 2009-05-02 Luc Bouten , Ramon van Handel , Matthew R. James

The problem of optimal control of non-Markovian open quantum system via weak measurement is presented. Based on the non-Markovian master equation, we evaluate exactly the non-Markovian effect on the dynamics of the system of interest…

量子物理 · 物理学 2010-04-28 Zairong Xi , Wei Cui , Yu Pan

We derive and investigate a general non-Markovian equation for the time-dependence of a Hamiltonian that maximizes the fidelity of a desired quantum gate on any finite-dimensional quantum system in the presence of arbitrary bath and noise…

量子物理 · 物理学 2016-04-12 Jens Clausen , Guy Bensky , Gershon Kurizki

We investigate the non-Markovian characteristics in continuous measurement of a charge qubit by a quantum point contact. The backflow of information from the reservoir to the system in the non-Markovian domain gives rise to strikingly…

介观与纳米尺度物理 · 物理学 2015-06-04 JunYan Luo , HuJun Jiao , Xiao-Li Lang , BiTao Xiong , Xiao-Ling He

Noise is both ubiquitous and generally deleterious in settings where precision is required. This is especially true in the quantum technology sector where system utility typically decays rapidly under its influence. Understanding the noise…

Quantum metrology pursues high-precision measurements of physical quantities by using quantum resources. However, the decoherence generally hinders its performance. Previous work found that the metrological error tends to diverge in the…

量子物理 · 物理学 2021-11-04 Wei Wu , Jun-Hong An

We consider a toy model for the study of monitored dynamics in a many-body quantum systems. We study the stochastic Schrodinger equation resulting from the continuous monitoring with a rate $\Gamma$ of a random hermitian operator chosen at…

统计力学 · 物理学 2024-07-02 Federico Gerbino , Pierre Le Doussal , Guido Giachetti , Andrea De Luca

Quantum simulation of many-body systems, particularly using ultracold atoms and trapped ions, presents a unique form of quantum control -- it is a direct implementation of a multi-qubit gate generated by the Hamiltonian. As a consequence,…

量子气体 · 物理学 2024-11-19 Aditya Prakash , Bharath Hebbe Madhusudhana

We study the McKean-Vlasov optimal control problem with common noise in various formulations, namely the strong and weak formulation, as well as the Markovian and non-Markovian formulations, and allowing for the law of the control process…

最优化与控制 · 数学 2020-03-25 Mao Fabrice Djete , Dylan Possamaï , Xiaolu Tan

We propose in this paper a gradient-type dynamical system to solve the problem of maximizing quantum observables for finite dimensional closed quantum ensembles governed by the controlled Liouville-von Neumann equation. The asymptotic…

最优化与控制 · 数学 2011-10-03 Ruixing Long , Herschel Rabitz

We investigate the coherence and non-Markovianity of a quantum tunneling system whose barrier is fluctuated by a telegraph noise, and its energy gap is modulated by Gaussian noise. With the help of averaging method, the system dynamics are…

量子物理 · 物理学 2022-08-18 Nisreen Mohammed Mahdi , Arzu Kurt , Ferdi Altintas

Characterizing the memory properties of the environment has become critical for the high-fidelity control of qubits and other advanced quantum systems. However, current non-Markovian tomography techniques are either limited to discrete…

The dynamics of finite dimension open quantum systems is studied with the help of the simplest possible form of projection operators, namely the ones which project only onto one dimensional subspaces. The simplicity of the action of the…

量子物理 · 物理学 2016-08-17 Vitalii Semin , Francesco Petruccione

We study the Hamiltonian-independent contribution to the complexity of quantum optimal control problems. The optimization of controls that steer quantum systems to desired objectives can itself be considered a classical dynamical system…

量子物理 · 物理学 2007-08-28 Raj Chakrabarti , Rebing Wu , Herschel Rabitz

We define non-Markovian quantum dynamics as evolution in which the current state depends on all past states, and completely characterize its structure under the assumptions of complete positivity and non-signalling. The resulting…

量子物理 · 物理学 2026-05-07 Serhii Kryhin , Vivishek Sudhir

We analyze the asymptotic behavior of discrete-time, Markovian quantum systems with respect to a subspace of interest. Global asymptotic stability of subspaces is relevant to quantum information processing, in particular for initializing…

量子物理 · 物理学 2014-08-07 Saverio Bolognani , Francesco Ticozzi