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The dynamics of an open quantum system can be fully described and tomographically reconstructed if the experimenter has complete control over the system of interest. Most real-world experiments do not fulfill this assumption, and the amount…

Quantum Physics · Physics 2018-07-09 Simon Milz , Felix A. Pollock , Kavan Modi

Coherent interaction of a quantum system with environment usually induces quantum decoherence. However, remarkably, in certain configurations the coherent system-environment coupling can be simultaneously explored to engineer a specific…

This paper explains some fundamental ideas of {\em feedback} control of quantum systems through the study of a relatively simple two-level system coupled to optical field channels. The model for this system includes both continuous and…

Quantum Physics · Physics 2014-06-23 Matthew James

Robust control of quantum systems is an increasingly relevant field of study amidst the second quantum revolution, but there remains a gap between taming quantum physics and robust control in its modern analytical form that culminated in…

Matter waves can be coherently and adiabatically loaded and controlled in strongly driven optical lattices. This coherent control is used in order to modify the modulus and the sign of the tunneling matrix element in the tunneling…

Quantum Gases · Physics 2015-03-18 Donatella Ciampini , Oliver Morsch , Ennio Arimondo

We present and discuss different protocols for preparing an arbitrary quantum state of a qubit using only a restricted set of measurements, with no unitary operations at all. We show that an arbitrary state can indeed be prepared, provided…

Quantum Physics · Physics 2015-03-17 S. Ashhab , Franco Nori

A fundamental concept in control theory is that of controllability, where any system state can be reached through an appropriate choice of control inputs. Indeed, a large body of classical and modern approaches are designed for controllable…

Optimization and Control · Mathematics 2022-06-13 Yonathan Efroni , Sham Kakade , Akshay Krishnamurthy , Cyril Zhang

In laboratory and numerical experiments, physical quantities are known with a finite precision and described by rational numbers. Based on this, we deduce that quantum control problems both for open and closed systems are in general not…

Quantum Physics · Physics 2025-02-21 Denys I. Bondar , Alexander N. Pechen

A closed quantum system is defined as completely controllable if an arbitrary unitary transformation can be executed using the available controls. In practice, control fields are a source of unavoidable noise, which has to be suppressed to…

Quantum Physics · Physics 2015-06-17 S. Kallush , M. Khasin , R. Kosloff

Manipulation of a quantum system requires the knowledge of how it evolves. To impose that the dynamics of a system becomes a particular target operation (for any preparation of the system), it may be more useful to have an equation of…

Quantum Physics · Physics 2021-07-28 V. Rezvani , A. T. Rezakhani

We numerically study a particle in a box with moving walls. In the case where the walls are oscillating sinusoidally with small amplitude, we show that states up to the fourth state can be populated with more than 80 percent population,…

Quantum Physics · Physics 2020-01-08 Christian Duffin , Arend G. Dijkstra

This is the second one in our series of papers on indirect quantum control assisted by quantum accessor. In this paper we propose and study a new class of indirect quantum control(IDQC) scheme based on the initial states preparation of the…

Quantum Physics · Physics 2007-12-13 H. Dong , X. F. Liu , H. C. Fu , C. P. Sun

Accurate and efficient quantum control in the presence of constraints and decoherence is a requirement and a challenge in quantum information processing. Shortcuts to adiabaticity, originally proposed to speed up slow adiabatic process,…

We propose a technique to design control algorithms for a class of finite dimensional quantum systems so that the control law does not present discontinuities. The class of models considered admits a group of symmetries which allows us to…

Quantum Physics · Physics 2019-10-23 Domenico D'Alessandro , Benjamin Sheller

One of the principal goals of controlling classical chaotic dynamical systems is known as targeting, which is the very weakly perturbative process of using the system's extreme sensitivity to initial conditions in order to arrive at a…

Chaotic Dynamics · Physics 2023-01-25 Steven Tomsovic , Juan Diego Urbina , Klaus Richter

Precise control of quantum systems with a moderate number of degrees of freedom, being of interest for application in quantum technologies, becomes experimentally feasible. Various types of quantum scenarios and protocols are being widely…

Quantum Physics · Physics 2024-01-10 P. V. Pyshkin , E. Ya. Sherman , A. Gábris , Lian-Ao Wu

We consider a bipartite open quantum system constituted by two interacting qubits $A$ and $B$, assuming that the former is coupled to the environment and is directly affected by coherent control, while the latter does not interact directly…

Optimization and Control · Mathematics 2023-01-10 Kateryna Verzhanska , Francesca Carlotta Chittaro

We consider the decidability of state-to-state reachability in linear time-invariant control systems over continuous time. We analyse this problem with respect to the allowable control sets, which are assumed to be the image under a linear…

Optimization and Control · Mathematics 2021-03-16 Mohan Dantam , Amaury Pouly

Quantum control in large dimensional Hilbert spaces is essential for realizing the power of quantum information processing. For closed quantum systems the relevant input/output maps are unitary transformations, and the fundamental challenge…

Quantum Physics · Physics 2014-10-17 B. E. Anderson , H. Sosa-Martinez , C. A. Riofrío , I. H. Deutsch , P. S. Jessen

The ability to manipulate light at the level of single photons, its elementary excitation quanta, has recently made it possible to produce a rich variety of tailor-made quantum states and arbitrary quantum operations, of high interest for…

Quantum Physics · Physics 2025-02-28 Nicola Biagi , Saverio Francesconi , Alessandro Zavatta , Marco Bellini