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We propose an efficient strategy to find optimal control functions for state-to-state quantum control problems. Our procedure first chooses an input state trajectory, that can realize the desired transformation by adiabatic variation of the…

In a quantum system with a smoothly and slowly varying Hamiltonian, which approaches a constant operator at times $t\to \pm \infty$, the transition probabilities between adiabatic states are exponentially small. They are characterized by an…

Quantum Physics · Physics 2009-10-31 Michael Wilkinson , Michael A. Morgan

In this paper, we discuss the compatibility between the rotating-wave and the adiabatic approximations for controlled quantum systems. Although the paper focuses on applications to two-level quantum systems, the main results apply in higher…

Optimization and Control · Mathematics 2019-09-06 Nicolas Augier , Ugo Boscain , Mario Sigalotti

This is a review paper concerned with the global consistency of the quantum dynamics of non-commutative systems. Our point of departure is the theory of constrained systems, since it provides a unified description of the classical and…

High Energy Physics - Theory · Physics 2015-05-13 F. S. Bemfica , H. O. Girotti

We propose a class of schemes for robust population transfer between quantum states that utilize trains of coherent pulses and represent a generalized adiabatic passage via a wave packet. We study piecewise Stimulated Raman Adiabatic…

Quantum Physics · Physics 2009-11-13 Evgeny A. Shapiro , Avi Pe'er , Jun Ye , Moshe Shapiro

Three-level quantum systems, which possess some unique characteristics beyond two-level ones, such as electromagnetically induced transparency, coherent trapping, and Raman scatting, play important roles in solid-state quantum information…

Quantum Physics · Physics 2016-07-11 Xue-Ke Song , Qing Ai , Jing Qiu , Fu-Guo Deng

A shortcut to adiabaticity is a driving protocol that reproduces in a short time the same final state that would result from an adiabatic, infinitely slow process. A powerful technique to engineer such shortcuts relies on the use of…

Quantum Physics · Physics 2014-04-24 Sebastian Deffner , Christopher Jarzynski , Adolfo del Campo

Sufficient conditions for complete controllability of $N$-level quantum systems subject to a single control pulse that addresses multiple allowed transitions concurrently are established. The results are applied in particular to Morse and…

Quantum Physics · Physics 2009-11-06 S. G. Schirmer , H. Fu , A. I. Solomon

Quantum battery is an emerging subject in the field of quantum thermodynamics, which is applied to charge, store and dispatch energy in quantum systems. In this work, we propose a fast and stable charging protocol based on the adiabatic…

Quantum Physics · Physics 2021-04-27 Hanyuan Hu , Shifan Qi , Jun Jing

In the era of digital quantum computing, optimal digitized pulses are requisite for efficient quantum control. This goal is translated into dynamic programming, in which a deep reinforcement learning (DRL) agent is gifted. As a reference,…

Quantum Physics · Physics 2021-04-14 Yongcheng Ding , Yue Ban , José D. Martín-Guerrero , Enrique Solano , Jorge Casanova , Xi Chen

Conventional manipulations over quantum systems for such as coherent population trapping and unidirectional transfer focus on Hamiltonian engineering while regarding the system's manifold geometry and constraint equation as secondary…

Quantum Physics · Physics 2025-09-08 Zhu-yao Jin , Jun Jing

Pulse controlled non-adiabatic quantum state transmission (QST) was proposed many years ago. However, in practice environmental noise inevitably damages communication quality in the proposal. In this paper, we study the optimally controlled…

Quantum Physics · Physics 2023-09-26 Xiang-Han Liang , Lian-Ao Wu , Zhao-Ming Wang

We introduce a framework for computing time-dependent quantum transition rates (QTRs) that describe the pace of evolution of a quantum state from a given subspace to a target subspace. QTRs are expressed in terms of flux-flux correlators…

Quantum Physics · Physics 2026-03-03 Adolfo del Campo , András Grabarits , Dmitrii Makarov , Seong-Ho Shinn

We introduce Qlustering, a quantum-inspired algorithm for unsupervised learning that leverages network-based quantum transport to perform data clustering. In contrast to traditional distance-based methods, Qlustering treats the steady-state…

Quantum Physics · Physics 2025-10-28 Shmuel Lorber , Yonatan Dubi

Quantum speed limits for two time-evolved states are introduced and applied to overlap between true dynamics and approximate dynamics. In particular, we point out that the present idea is suitable for invariant-based inverse engineering,…

Quantum Physics · Physics 2023-02-01 Takuya Hatomura

In this paper, we devise methods for the multi- objective control of humanoid robots, a.k.a. prioritized whole- body controllers, that achieve efficiency and robustness in the algorithmic computations. We use a form of whole-body…

Robotics · Computer Science 2018-07-04 Donghyun Kim , Jaemin Lee , Orion Campbell , Hochul Hwang , Luis Sentis

The fast forward scheme of adiabatic quantum dynamics is applied to finite regular spin clusters with various geometries and the nature of driving interactions is elucidated. The fast forward is the quasi-adiabatic dynamics guaranteed by…

Quantum Physics · Physics 2019-06-26 Iwan Setiawan , Bobby Eka Gunara , Sanat Avazbaev , Katsuhiro Nakamura

We study a deformation of the counterdiabatic-driving Hamiltonian as a systematic strategy for an adiabatic control of quantum states. Using a unitary transformation, we design a convenient form of the driver Hamiltonian. We apply the…

Quantum Physics · Physics 2015-04-16 Kazutaka Takahashi

A computation in adiabatic quantum computing is implemented by traversing a path of nondegenerate eigenstates of a continuous family of Hamiltonians. We introduce a method that traverses a discretized form of the path: At each step we apply…

Quantum Physics · Physics 2009-08-14 S. Boixo , E. Knill , R. D. Somma

Quantum manipulation based on geometric phases provides a promising way towards robust quantum gates. However, in the current implementation of nonadiabatic geometric phases, operational and/or random errors tend to destruct the conditions…

Quantum Physics · Physics 2021-03-17 Jian Zhou , Sai Li , Guo-Zhu Pan , Gang Zhang , Tao Chen , Zheng-Yuan Xue