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We introduce a method to speed up adiabatic protocols for creating entanglement between two qubits dispersively coupled to a transmission line, while keeping fidelities high and maintaining robustness to control errors. The method takes…

We introduce an algorithm to perform an optimal adiabatic evolution that operates without an apriori knowledge of the system spectrum. By probing the system gap locally, the algorithm maximizes the evolution speed, thus minimizing the total…

Quantum Physics · Physics 2011-05-10 J. Nehrkorn , S. Montangero , A. Ekert , A. Smerzi , R. Fazio , T. Calarco

We propose a method to speed up the quantum adiabatic algorithm using catalysis by many-body delocalization. This is applied to random-field antiferromagnetic Ising spin models. The algorithm is catalyzed in such a way that the evolution…

Quantum Physics · Physics 2021-04-06 Chenfeng Cao , Jian Xue , Nic Shannon , Robert Joynt

We study the Landau-Zener Problem for a decaying two-level-system described by a non-hermitean Hamiltonian, depending analytically on time. Use of a super-adiabatic basis allows to calculate the non-adiabatic transition probability P in the…

Quantum Physics · Physics 2009-11-13 R. Schilling , Mark Vogelsberger , D. A. Garanin

We analyze the crossing of a quantum critical point based on exact results for the transverse XY model. In dependence of the change rate of the driving field, the evolution of the ground state is studied while the transverse magnetic field…

Statistical Mechanics · Physics 2007-06-13 Andrea Fubini , Giuseppe Falci , Andreas Osterloh

A nonlinear Landau-Zener model was proposed recently to describe, among a number of applications, the nonadiabatic transition of a Bose-Einstein condensate between Bloch bands. Numerical analysis revealed a striking phenomenon that…

Quantum Physics · Physics 2009-11-07 Jie Liu , Li-Bin Fu , Bi-Yiao Ou , Shi-Gang Chen , Qian Niu

We show a method to accelerate quantum adiabatic dynamics of wavefunctions under electro-magnetic field by developing the previous theory (Masuda & Nakamura 2008 and 2010). Firstly we investigate the orbital dynamics of a charged particle.…

Mesoscale and Nanoscale Physics · Physics 2010-04-26 Shumpei Masuda , Katsuhiro Nakamura

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…

Quantum Physics · Physics 2026-02-24 Emma C. King , Giovanna Morigi , Raphaël Menu

Quantum adiabatic evolution algorithm suggested by Farhi et al. was effective in solving instances of NP-complete problems. The algorithm is governed by the adiabatic theorem. Therefore, in order to reduce the running time, it is essential…

Quantum Physics · Physics 2015-06-26 Joonwoo Bae , Younghun Kwon

For adiabatic controls of quantum systems, the non-adiabatic transitions are reduced by increasing the operation time of processes. Perfect quantum adiabaticity usually requires the infinitely slow variation of control parameters. In this…

Quantum Physics · Physics 2022-07-01 Jin-Fu Chen

We propose a way to accelerate adiabatic dynamics of wave functions in quantum mechanics to obtain a final adiabatic state except for the spatially uniform phase in any desired short time. We develop the previous theory of fast-forward…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Shumpei Masuda , Katsuhiro Nakamura

We work out the theory and applications of a fast quasi-adiabatic approach to speed up slow adiabatic manipulations of quantum systems by driving a control parameter as near to the adiabatic limit as possible over the entire protocol…

Quantum Physics · Physics 2015-10-14 S. Martínez-Garaot , A. Ruschhaupt , J. Gillet , Th. Busch , J. G. Muga

In adiabatic quantum computing finding the dependence of the gap of the Hamiltonian as a function of the parameter varied during the adiabatic sweep is crucial in order to optimize the speed of the computation. Inspired by this challenge,…

Quantum Physics · Physics 2023-06-14 Naeimeh Mohseni , Carlos Navarrete-Benlloch , Tim Byrnes , Florian Marquardt

Quantum technologies based on adiabatic techniques can be highly effective, but often at the cost of being very slow. Here we introduce a set of experimentally realistic, non-adiabatic protocols for spatial state preparation, which yield…

Quantum Physics · Physics 2017-03-31 Albert Benseny , Anthony Kiely , Yongping Zhang , Thomas Busch , Andreas Ruschhaupt

We investigate ways to optimize adiabaticity and diabaticity in the Landau-Zener model with non-uniform sweeps. We show how diabaticity can be engineered with a pulse consisting of a linear sweep augmented by an oscillating term. We show…

Quantum Physics · Physics 2015-05-06 T. Chasseur , L. S. Theis , Y. R. Sanders , D. J. Egger , F. K. Wilhelm

Designing proper time-dependent control fields for slowly varying the system to the ground state that encodes the problem solution is crucial for adiabatic quantum computation. However, inevitable perturbations in real applications demand…

Quantum Physics · Physics 2020-07-22 Xiaodong Yang , Ran Liu , Jun Li , Xinhua Peng

A general time-dependent quantum system can be driven fast from its initial ground state to its final ground state without generating transitions by adding a steering term to the Hamiltonian. We show how this technique can be modified to…

Quantum Physics · Physics 2018-12-11 A. Barış Özgüler , Robert Joynt , Maxim G. Vavilov

Different techniques to speed up quantum adiabatic processes are currently being explored for applications in atomic, molecular and optical physics, such as transport, cooling and expansions, wavepacket splitting, or internal state control.…

Quantum Physics · Physics 2013-01-01 S. Ibáñez , Xi Chen , J. G. Muga

We investigate a simple and robust scheme for choosing the phases of adiabatic electronic states smoothly (as a function of geometry) so as to maximize the performance of ab initio non-adiabatic dynamics methods. Our approach is based upon…

Chemical Physics · Physics 2019-09-26 Zeyu Zhou , Zuxin Jin , Tian Qiu , Andrew M. Rappe , Joseph Eli Subotnik

Adiabatic processes in the quantum Ising model and the anisotropic Heisenberg model are discussed. The adiabatic processes are assumed to consist in the slow variation of the strength of the magnetic field that environs the spin-systems.…

Quantum Physics · Physics 2009-11-10 V. Murg , J. I. Cirac
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