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Quantum adiabatic dynamics is the crucial element of adiabatic quantum computing and quantum annealing. Shortcuts to adiabaticity enable acceleration of the computational time by suppressing unwanted non-adiabatic processes with designed…

量子物理 · 物理学 2026-02-24 Emma C. King , Giovanna Morigi , Raphaël Menu

Shortcuts to adiabaticity (STA) are fast routes to the final results of slow, adiabatic changes of the controlling parameters of a system. The shortcuts are designed by a set of analytical and numerical methods suitable for different…

量子物理 · 物理学 2019-11-11 D. Guéry-Odelin , A. Ruschhaupt , A. Kiely , E. Torrontegui , S. Martínez-Garaot , J. G. Muga

The operation of near-term quantum technologies requires the development of feasible, implementable, and robust strategies of controlling complex many body systems. To this end, a variety of techniques, so-called "shortcuts to adiabaticty",…

量子物理 · 物理学 2022-10-21 Artur Soriani , Eduardo Miranda , Sebastian Deffner , Marcus V. S. Bonança

Quantum algorithms are prominent in the pursuit of achieving quantum advantage in various computational tasks. However, addressing challenges, such as limited qubit coherence and high error rate in near-term devices, requires extensive…

量子物理 · 物理学 2024-07-31 Julián Ferreiro-Vélez , Iñaki Iriarte-Zendoia , Yue Ban , Xi Chen

Counter-diabatic driving protocols were proposed as a means to do fast changes in the Hamiltonian without exciting transitions. Such driving in principle allows one to realize arbitrarily fast annealing protocols or implement fast…

量子物理 · 物理学 2017-05-11 Dries Sels , Anatoli Polkovnikov

Shortcuts to adiabaticity are strategies for conserving adiabatic invariants under non-adiabatic (i.e. fast-driving) conditions. Here, we show how to extend classical, Hamiltonian shortcuts to adiabaticity to allow the crossing of a…

统计力学 · 物理学 2024-08-14 Roi Holtzman , Oren Raz , Christopher Jarzynski

High control in the preparation and manipulation of states is an experimental and theoretical important task in many quantum protocols. Shortcuts to adiabaticity methods allow to obtain desirable states of a adiabatic dynamics but in short…

量子物理 · 物理学 2024-10-28 Jonas F. G. Santos

Shortcuts to adiabaticity provide a general approach to mimic adiabatic quantum processes via arbitrarily fast evolutions in Hilbert space. For these counter-diabatic evolutions, higher speed comes at higher energy cost. Here, the…

量子物理 · 物理学 2017-12-19 Alan C. Santos , Marcelo S. Sarandy

The analytical expression for shortcuts to adiabaticity for any switching time and any thermally isolated system performing a finite-time and weakly driven process is presented. It is based on the analytical solution of the optimal…

量子物理 · 物理学 2025-09-26 Pierre Nazé

Adiabatic quantum control is a very important approach for quantum physics and quantum information processing. It holds the advantage with robustness to experimental imperfections but accumulates more decoherence due to the long evolution…

量子物理 · 物理学 2019-04-22 Hao Zhang , Xue-Ke Song , Qing Ai , Haibo Wang , Guo-Jian Yang , Fu-Guo Deng

Shortcuts to adiabaticity are well-known methods for controlling the quantum dynamics beyond the adiabatic criteria, where counter-diabatic (CD) driving provides a promising means to speed up quantum many-body systems. In this work, we show…

Tremendous research efforts have been invested in exploring and designing so-called shortcuts to adiabaticity. These are finite-time processes that produce the same final states that would result from infinitely slow driving. Most of these…

统计力学 · 物理学 2020-08-11 Sebastian Deffner , Marcus V. S. Bonança

We formulate the theory of shortcuts to adiabaticity in classical mechanics. For a reference Hamiltonian, the counterdiabatic term is constructed from the dispersionless Korteweg-de Vries (KdV) hierarchy. Then the adiabatic theorem holds…

经典物理 · 物理学 2017-03-16 Manaka Okuyama , Kazutaka Takahashi

Open quantum systems described by a non-Hermitian Hamiltonian exhibit rich dynamics due to the topology of their complex energy spectrum. By encircling an exceptional point degeneracy, this topology allows for topological state transport,…

Shortcuts to adiabaticity is a general method for speeding up adiabatic quantum protocols, and has many potential applications in quantum information processing. Unfortunately, analytically constructing shortcuts to adiabaticity for systems…

量子物理 · 物理学 2021-07-13 F. Setiawan , Peter Groszkowski , Hugo Ribeiro , Aashish A. Clerk

Suppression of diabatic transitions in quantum adiabatic evolution stands as a significant challenge for ground state preparations. Counterdiabatic driving has been proposed to compensate for diabatic losses and achieve shortcut to…

量子物理 · 物理学 2024-03-05 Changhao Li , Jiayu Shen , Ruslan Shaydulin , Marco Pistoia

Adiabatic protocols are employed across a variety of quantum technologies, from implementing state preparation and individual operations that are building blocks of larger devices, to higher-level protocols in quantum annealing and…

量子物理 · 物理学 2023-01-31 Ieva Čepaitė , Anatoli Polkovnikov , Andrew J. Daley , Callum W. Duncan

We give a pedagogical introduction to dynamical invariant formalism of shortcuts to adiabaticity. For a given operator form of the Hamiltonian with undetermined coefficients, the dynamical invariant is introduced to design the coefficients.…

量子物理 · 物理学 2022-11-08 Kazutaka Takahashi

The nonadiabatic dynamics of a many-body system driven through a quantum critical point can be controlled using counterdiabatic driving, where the formation of excitations is suppressed by assisting the dynamics with auxiliary multiple-body…

量子物理 · 物理学 2014-12-08 Hamed Saberi , Tomáš Opatrný , Klaus Mølmer , Adolfo del Campo

Shortcuts to adiabaticity are alternative fast processes which reproduce the same final state as the adiabatic process in a finite or even shorter time, which have been extended from Hermitian systems to non-Hermitian systems in recent…

量子物理 · 物理学 2024-04-15 T. Z. Luan , H. Z. Shen , X. X. Yi