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The development of advanced quantum technologies and the quest for a deeper understanding of many-particle quantum mechanics requires control over the quantum state of interacting particles to a high degree of fidelity. However, the quickly…

量子物理 · 物理学 2016-03-17 Albert Benseny , Jérémie Gillet , Thomas Busch

We present a detailed study of an adiabatic state preparation in an effective three-level quantum system. States can be prepared with high speed and fidelity by adding a counterdiabatic (CD) quantum control protocol. As a second step, we…

量子物理 · 物理学 2026-01-13 L. Romanato , N. Eshaqi-Sani , L. Lepori , T. Kirova , E. Arimondo , S. Wimberger

We study the adiabatic approximation of the dynamics of a bipartite quantum system with respect to one of the components, when the coupling between its two components is perturbative. We show that the density matrix of the considered…

数学物理 · 物理学 2015-06-22 David Viennot , Lucile Aubourg

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…

量子物理 · 物理学 2009-10-31 Michael Wilkinson , Michael A. Morgan

The evolution of a driven quantum system is said to be adiabatic whenever the state of the system stays close to an instantaneous eigenstate of its time-dependent Hamiltonian. The celebrated quantum adiabatic theorem ensures that such pure…

量子物理 · 物理学 2021-10-04 Nikolai Il`in , Anastasia Aristova , Oleg Lychkovskiy

The condition for adiabatic approximation are of basic importance for the applications of the adiabatic theorem. The traditional quantitative condition was found to be necessary but not sufficient, but we do not know its physical meaning…

量子物理 · 物理学 2011-02-02 Qian-Heng Duan , Ping-Xing Chen , Wei Wu

We propose an experimental method for evaluating the adiabatic condition during quantum annealing (QA), which will be essential for solving practical problems. The adiabatic condition consists of the transition matrix element and the energy…

量子物理 · 物理学 2024-04-10 Yuichiro Mori , Shiro Kawabata , Yuichiro Matsuzaki

High-fidelity quantum operations are a key requirement for fault-tolerant quantum information processing. In electron spin resonance, manipulation of the quantum spin is usually achieved with time-dependent microwave fields. In contrast to…

We show that the quasi-adiabatic evolution of a system governed by the Dicke Hamiltonian can be described in terms of a self-induced quantum many-body metrological protocol. This effect relies on the sensitivity of the ground state to a…

量子物理 · 物理学 2015-06-16 P. A. Ivanov , D. Porras

We discuss a toy model for adiabatic quantum computation which displays some phenomenological properties expected in more realistic implementations. This model has two free parameters: the adiabatic evolution parameter $s$ and the $\alpha$…

量子物理 · 物理学 2009-11-13 P. Ribeiro , R. Mosseri

We study temporal behavior of a quantum system under a slow external perturbation, which drives the system across a second order quantum phase transition. It is shown that despite the conventional adiabaticity conditions are always violated…

统计力学 · 物理学 2007-05-23 Anatoli Polkovnikov

By stating the adiabatic theorem of quantum mechanics in a clear and rigorous way, we establish a necessary condition and a sufficient condition for its validity, where the latter is obtained employing our recently developed adiabatic…

量子物理 · 物理学 2012-06-19 Gustavo Rigolin , Gerardo Ortiz

We describe a many-body quantum system which can be made to quantum compute by the adiabatic application of a large applied field to the system. Prior to the application of the field quantum information is localized on one boundary of the…

量子物理 · 物理学 2013-06-19 Dave Bacon , Steven T. Flammia , Gregory M. Crosswhite

The adiabatic theorem provides the basis for the adiabatic model of quantum computation. Recently the conditions required for the adiabatic theorem to hold have become a subject of some controversy. Here we show that the reported violations…

量子物理 · 物理学 2013-05-29 M. H. S. Amin

The dynamics of a system, consisting of a particle initially in a Gaussian state interacting with a field mode, under the action of repeated measurements performed on the particle, is examined. It is shown that regardless of its initial…

量子物理 · 物理学 2010-10-26 Bruno Bellomo , Giuseppe Compagno , Hiromichi Nakazato , Kazuya Yuasa

Geometric phase of an open quantum system that is interacting with a thermal environment (bath) is studied through some simple examples. The system is considered to be a simple spin-half particle which is weakly coupled to the bath. It is…

量子物理 · 物理学 2009-11-11 A. T. Rezakhani , P. Zanardi

A gapped quantum system that is adiabatically perturbed remains approximately in its eigenstate after the evolution. We prove that, for constant gap, general quantum processes that approximately prepare the final eigenstate require a…

量子物理 · 物理学 2010-04-02 S. Boixo , R. D. Somma

Quantum-logic techniques used to manipulate quantum systems are now increasingly being applied to molecules. Previous experiments on single trapped diatomic species have enabled state detection with excellent fidelities and highly precise…

量子物理 · 物理学 2025-03-18 Kaveh Najafian , Ziv Meir , Mudit Sinhal , Stefan Willitsch

We propose an optimal method exploiting second order quantum phase transitions to perform high precision measurements of the control parameter at criticality. Our approach accesses the high fidelity susceptibility via the measurement of…

量子物理 · 物理学 2019-06-05 Luca Pezzè , Andreas Trenkwalder , Marco Fattori

Adiabatic time evolution of quantum systems is a widely used tool with applications ranging from state preparation through simplifications of computations and topological transformations to optimization and quantum computing. Adiabatic time…

量子物理 · 物理学 2024-06-27 Hadi Yarloo , Hua-Chen Zhang , Anne E. B. Nielsen