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A remarkably simple result is derived for the minimal time $T_{\rm min}$ required to drive a general initial state to a final target state by a Landau-Zener type Hamiltonian or, equivalently, by time-dependent laser driving. The associated…

量子物理 · 物理学 2015-06-16 Gerhard C. Hegerfeldt

The lack of a direct map between control fields and desired control objectives poses a significant challenge in applying quantum control theory to quantum technologies. Here, we propose an analytical framework to precisely control a limited…

量子物理 · 物理学 2025-03-05 Qian-Qian Hong , Daoyi Dong , Niels E. Henriksen , Franco Nori , Jun He , Chuan-Cun Shu

Using results from quantum filtering theory and methods from classical control theory, we derive an optimal control strategy for an open two-level system (a qubit in interaction with the electromagnetic field) controlled by a laser. The aim…

量子物理 · 物理学 2009-11-10 Luc Bouten , Simon Edwards , V P Belavkin

We apply an extension of the Pontryagin Maximum Principle to derive time-optimal controls of two-level quantum systems by means of piecewise constant pulses. Global optimal solutions are obtained for state-to-state transfer in the cases…

量子物理 · 物理学 2026-04-16 E. Dionis , D. Sugny

In various physical implementations of quantum information processing, qubits are realized in a Lambda type system configuration as two stable lower energy levels coupled indirectly via an unstable higher energy level, that is, in…

量子物理 · 物理学 2025-11-11 Julia Cen , Domenico D'Alessandro

We present variational theory for optimal control over a finite time interval in quantum systems with relaxation. The corresponding Euler-Lagrange equations determining the optimal control field are derived. In our theory the optimal…

量子物理 · 物理学 2009-11-07 Ilia Grigorenko , Martin E. Garcia , K. H. Bennemann

We consider the optimal control of quantum systems interacting non-linearly with an electromagnetic field. We propose new monotonically convergent algorithms to solve the optimal equations. The monotonic behavior of the algorithm is ensured…

量子物理 · 物理学 2015-05-13 M. Lapert , R. Tehini , G. Turinici , D. Sugny

We investigate several control strategies for the transport of an excitation along a spin chain. We demonstrate that fast, high fidelity transport can be achieved using protocols designed with differentiable programming. Building on this,…

量子物理 · 物理学 2022-11-30 Luuk Coopmans , Steve Campbell , Gabriele De Chiara , Anthony Kiely

We consider the degrees of controllability of multi-partite quantum systems as well as necessary and sufficient criteria for each case. The results are applied to the problem of simultaneous control of an ensemble of quantum dots with a…

量子物理 · 物理学 2009-11-11 Sonia G Schirmer , Ivan C H Pullen , Allan I Solomon

We study quantum information processing by means of optimal control theory. To this end, we analyze the damped Jaynes-Cummings model, and derive optimal control protocols that minimize the heating or energy dispersion rates, and controls…

量子物理 · 物理学 2014-07-14 Sebastian Deffner

Recent technological advances have allowed the fabrication of large arrays of coupled qubits serving as prototypes of quantum processors. However, the optimal control of such systems is notoriously hard, which limits the potential of…

量子物理 · 物理学 2025-08-27 Andrei A. Stepanenko , Kseniia S. Chernova , Maxim A. Gorlach

By means of optimal control techniques we model and optimize the manipulation of the external quantum state (center-of-mass motion) of atoms trapped in adjustable optical potentials. We consider in detail the cases of both non interacting…

Optimal control theory is a promising candidate for a drastic improvement of the performance of quantum information tasks. We explore its ultimate limit in paradigmatic cases, and demonstrate that it coincides with the maximum speed limit…

The control of flying qubits carried by itinerant photons is ubiquitous in quantum networks. Beside their logical states, the shape of flying qubits must also be tailored for high-efficiency information transmission. In this paper, we…

量子物理 · 物理学 2025-11-11 Xue Dong , Xi Cao , Wen-Long Li , Guofeng Zhang , Zhihui Peng , Re-Bing Wu

Most quantum processors requires pulse sequences for controlling quantum states. Here, we present an alternative algorithm for computing an optimal pulse sequence in order to perform a specific task, being an implementation of a quantum…

量子物理 · 物理学 2020-05-27 John P. S. Peterson , Roberto S. Sarthour , Raymond Laflamme

The Quantum Speed Limit can be found in many different situations, in particular in the propagation of information through quantum spin chains. In homogeneous chains it implies that taking information from one extreme of the chain to the…

量子物理 · 物理学 2020-12-30 Diego S. Acosta Coden , Sergio S. Gómez , Alejandro Ferrón , Omar Osenda

Quantum optimal control represents a powerful technique to enhance the performance of quantum experiments by engineering the controllable parameters of the Hamiltonian. However, the computational overhead for the necessary optimization of…

We propose a methodology to design optimal pulses for achieving quantum optimal control on molecular systems. Our approach constrains pulse shapes to linear combinations of a fixed number of experimentally relevant pulse functions. Quantum…

量子物理 · 物理学 2015-10-28 Ruben D. Guerrero , Carlos A. Arango , Andres Reyes

We investigate two classes of quantum control problems by using frequency-domain optimization algorithms in the context of ultrafast laser control of quantum systems. In the first class, the system model is known and a frequency-domain…

量子物理 · 物理学 2022-01-19 Daoyi Dong , Chuan-Cun Shu , Jiangchao Chen , Xi Xing , Hailan Ma , Yu Guo , Herschel Rabitz

A density matrix approach is developped for the control of a mixed-state quantum system using a time-dependent external field such as a train of pulses. This leads to the definition of a target density matrix constructed in a reduced…

量子物理 · 物理学 2007-05-23 D. Sugny , A. Keller , O. Atabek , D. Daems , C. M. Dion , S. Guérin , H. R. Jauslin