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The ability to characterise a Hamiltonian with high precision is crucial for the implementation of quantum technologies. In addition to the well-developed approaches utilising optimal probe states and optimal measurements, the method of…

Quantum Physics · Physics 2022-12-14 Shushen Qin , Marcus Cramer , Christiane P. Koch , Alessio Serafini

We propose a simple construction of shortcuts to adiabaticity tracking instantaneous stationary states in classical spin systems without knowing tracked stationary states. In our construction, control fields of counter-diabatic driving are…

Quantum Physics · Physics 2018-09-28 Takuya Hatomura , Takashi Mori

Different methods have been recently put forward and implemented experimentally to inverse engineer the time dependent Hamiltonian of a quantum system and accelerate slow adiabatic processes via non-adiabatic shortcuts. In the…

Quantum Physics · Physics 2011-08-08 Xi Chen , E. Torrontegui , J. G. Muga

We use the invariant-based inverse engineering subject to the quasiadiabatic condition to produce robust and high fidelity coherent superposition of quantum states. The inverse engineering provides shortcuts to the desired quantum-state…

Quantum Physics · Physics 2017-09-12 Yen-Huang Liu , Shuo-Yen Tseng

The evolution of a system induced by counter-diabatic driving mimics the adiabatic dynamics without the requirement of slow driving. Engineering it involves diagonalizing the instantaneous Hamiltonian of the system and results in the need…

Quantum Physics · Physics 2013-09-05 Adolfo del Campo

We introduce an approach for quantum computing in continuous time based on the Lewis-Riesenfeld dynamic invariants. This approach allows, under certain conditions, for the design of quantum algorithms running on a nonadiabatic regime. We…

Quantum Physics · Physics 2011-08-18 M. S. Sarandy , E. I. Duzzioni , R. M. Serra

We extend the concept of superadiabatic dynamics, or transitionless quantum driving, to quantum open systems whose evolution is governed by a master equation in the Lindblad form. We provide the general framework needed to determine the…

Quantum Physics · Physics 2015-06-16 G. Vacanti , R. Fazio , S. Montangero , G. M. Palma , M. Paternostro , V. Vedral

High-fidelity and robust coherent population transfer is a major challenge in coherent quantum control. Different from the well known adiabatic condition, we present a rigorous adiabatic condition that is inspired by the idea of the…

Quantum Physics · Physics 2019-09-04 Jian Xu , Yan-Xiong Du , Wei Huang

The coherence times achieved with continuous dynamical decoupling techniques are often limited by fluctuations in the driving amplitude. In this work, we use time-dependent phase-modulated continuous driving to increase the robustness…

Quantum Physics · Physics 2017-08-22 D. Farfurnik , N. Aharon , I. Cohen , Y. Hovav , A. Retzker , N. Bar-Gill

We study non-adiabatic charge pumping through single-level quantum dots taking into account Coulomb interactions. We show how a truncated set of equations of motion can be propagated in time by means of an auxiliary-mode expansion. This…

Mesoscale and Nanoscale Physics · Physics 2012-01-12 Alexander Croy , Ulf Saalmann , Alexis R. Hernández , Caio H. Lewenkopf

Nonadiabatic holonomic quantum computation has received increasing attention due to the merits of both robustness against control errors and high-speed implementation. A crucial step in realizing nonadiabatic holonomic quantum computation…

Quantum Physics · Physics 2023-08-15 P. Z. Zhao , D. M. Tong

We show how to perform universal Hamiltonian and adiabatic computing using a time-independent Hamiltonian on a 2D grid describing a system of hopping particles which string together and interact to perform the computation. In this…

Quantum Physics · Physics 2016-03-23 Seth Lloyd , Barbara Terhal

Shortcut to adiabaticity in various quantum systems has attracted much attention with the wide applications in quantum information processing and quantum control. In this paper, we concentrate on stimulated Raman shortcut-to-adiabatic…

Quantum Physics · Physics 2016-12-21 Yi-Chao Li , Xi Chen

Counterdiabatic (CD) driving has the potential to speed up adiabatic quantum state preparation by suppressing unwanted excitations. However, existing approaches either require intractable classical computations or are based on…

Quantum Physics · Physics 2025-11-03 Jernej Rudi Finžgar , Simone Notarnicola , Madelyn Cain , Mikhail D. Lukin , Dries Sels

A method for high-fidelity coherent adiabatic transport in a zig-zag tight-binding chain, based on application of two external periodic driving fields, is theoretically proposed. The method turns out to be robust against imperfections and…

Quantum Physics · Physics 2015-06-22 Stefano Longhi

In this paper we study up to which extent we can apply adiabatic control strategies to a quantum control model obtained by rotating wave approximation. In particular, we show that, under suitable assumptions on the asymptotic regime between…

Optimization and Control · Mathematics 2021-01-12 Nicolas Augier , Ugo Boscain , Mario Sigalotti

Shortcut to adiabaticity (STA) techniques have the potential to drive a system beyond the adiabatic limits. Here, we present a robust and efficient method for wireless power transfer (WPT) between two coils based on the so-called…

Quantum Physics · Physics 2026-01-01 Koushik Paul , Amarendra K. Sarma

A scheme for arbitrary quantum state engineering (QSE) in three-state systems is proposed. Firstly, starting from a set of complete orthogonal time-dependent basis with undetermined coefficients, a time-dependent Hamiltonian is derived via…

Quantum Physics · Physics 2016-11-14 Ye-Hong Chen , Yan Xia , Qi-Cheng Wu , Bi-Hua Huang , Jie Song

We consider a periodically driven system where the high-frequency driving protocol consists of a sequence of potentials switched on and off at different instants within a period. We explore the possibility of introducing an adiabatic…

Quantum Physics · Physics 2025-02-26 Ashwin Murali , Tapomoy Guha Sarkar , Jayendra N. Bandyopadhyay

The theory of optimal quantum control serves to identify time-dependent control Hamiltonians that efficiently produce desired target states. As such, it plays an essential role in the successful design and development of quantum…

Quantum Physics · Physics 2023-04-18 Tenzan Araki , Franco Nori , Clemens Gneiting