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State transition algorithm (STA) has been emerging as a novel metaheuristic method for global optimization in recent few years. In our previous study, the parameter of transformation operator in continuous STA is kept constant or decreasing…

Optimization and Control · Mathematics 2018-12-20 Xiaojun Zhou

A shortcut-to-adiabaticity is compared with a numerically optimized protocol for implementing a high-fidelity quantum gate on Rydberg atoms. The counterdiabatic method offers an analytical framework for accelerating high-fidelity gates by…

Quantum Physics · Physics 2025-11-13 Luis S. Yagüe Bosch , Sandro Wimberger

The significance of topological phases has been widely recognized in the community of condensed matter physics. The well controllable quantum systems provide an artificial platform to probe and engineer various topological phases. The…

Quantum Physics · Physics 2018-01-01 Tenghui Wang , Zhenxing Zhang , Liang Xiang , Zhihao Gong , Jianlan Wu , Yi Yin

We examine the stability of population transfer in two- and three-level systems against unwanted additional transitions. This population inversion is achieved by using recently proposed schemes called "shortcuts to adiabaticity". We…

Quantum Physics · Physics 2017-03-14 Anthony Kiely , Andreas Ruschhaupt

We propose a method for the fast generation of nonclassical ground states of the Rabi model in the ultrastrong and deep-strong coupling regimes via the shortcuts-to-adiabatic (STA) dynamics. The time-dependent quantum Rabi model is…

Quantum Physics · Physics 2021-01-15 Ye-Hong Chen , Wei Qin , Xin Wang , Adam Miranowicz , Franco Nori

Motivated by transitionless quantum driving, we construct shortcuts to adiabatic passage in a three-atom system to create a singlet state with the help of quantum zeno dynamics and non-resonant lasers. The influence of various decoherence…

Quantum Physics · Physics 2016-04-19 Zhen Chen , Ye-Hong Chen , Yan Xia , Bi-Hua Huang

Adiabatic quantum computing (AQC) started as an approach to solving optimization problems, and has evolved into an important universal alternative to the standard circuit model of quantum computing, with deep connections to both classical…

Quantum Physics · Physics 2018-02-05 Tameem Albash , Daniel A. Lidar

We use the dynamical algebra of a quantum system and its dynamical invariants to inverse engineer feasible Hamiltonians for implementing shortcuts to adiabaticity. These are speeded up processes that end up with the same populations than…

Quantum Physics · Physics 2015-06-18 E. Torrontegui , S. Martínez-Garaot , J. G. Muga

Many physically interesting models show a quantum phase transition when a single parameter is varied through a critical point, where the ground state and the first excited state become degenerate. When this parameter appears as a coupling…

Quantum Physics · Physics 2008-09-24 Gernot Schaller

Approximate counterdiabatic (CD) protocols are a powerful tool to enhance quantum adiabatic processes that allow to reliably manipulate quantum systems on short time scales. However, implementing CD protocols entails the introduction of…

Quantum Physics · Physics 2022-07-11 Glen Bigan Mbeng , Wolfgang Lechner

We derive shortcuts to adiabaticity maximizing population transfer in a three-level $\Lambda$ quantum system, using the spin to spring mapping to formulate the corresponding optimal control problem on the simpler system of a classical…

Quantum Physics · Physics 2023-12-29 Vasileios Evangelakos , Emmanuel Paspalakis , Dionisis Stefanatos

The viability of adiabatic quantum computation depends on the slow evolution of the Hamiltonian. The adiabatic switching theorem provides an asymptotic series for error estimates in $1/T$, based on the lowest non-zero derivative of the…

Quantum Physics · Physics 2025-12-25 Thomas D. Cohen , Andrew Li , Hyunwoo Oh , Maneesha Sushama Pradeep

The quantum Zeno effect asserts that quantum measurements inhibit simultaneous unitary dynamics when the "collapse" events are sufficiently strong and frequent. This applies in the limit of strong continuous measurement or dissipation. It…

Quantum Physics · Physics 2024-10-04 Philippe Lewalle , Yipei Zhang , K. Birgitta Whaley

We consider a finite-time quantum Otto cycle with single and two-spin-$1/2$ systems as its working medium. In order to mimic adiabatic dynamics at a finite-time, we employ a shortcut-to-adiabaticity technique and evaluate the performance of…

Quantum Physics · Physics 2019-03-08 Barış Çakmak , Özgür E. Müstecaplıoğlu

Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production for individual stochastic trajectories of mesoscopic systems. Remarkably, this approach, relying on stochastic…

Statistical Mechanics · Physics 2023-01-31 David Guéry-Odelin , Christopher Jarzynski , Carlos A. Plata , Antonio Prados , Emmanuel Trizac

The discrete formulation of adiabatic quantum computing is compared with other search methods, classical and quantum, for random satisfiability (SAT) problems. With the number of steps growing only as the cube of the number of variables,…

Quantum Physics · Physics 2009-11-07 Tad Hogg

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.…

Quantum Physics · Physics 2022-11-08 Kazutaka Takahashi

A method is proposed to drive an ultrafast non-adiabatic dynamics of an ultracold gas trapped in a box potential. The resulting state is free from spurious excitations associated with the breakdown of adiabaticity, and preserves the quantum…

Quantum Gases · Physics 2014-12-02 A. del Campo , M. G. Boshier

We model the bang-bang optimization protocol as a shortcut to adiabaticity in the ground-state preparation of an ion-trap-based quantum simulator. Compared to a locally adiabatic evolution, the bang-bang protocol produces a somewhat lower…

Quantum Physics · Physics 2018-02-21 Shankar Balasubramanian , Shuyang Han , Bryce T. Yoshimura , J. K. Freericks

Adiabatic passage techniques, used to drive a system from one quantum state into another, find widespread application in physics and chemistry. We focus on techniques to spatially transport a quantum amplitude over a strongly coupled…

Quantum Physics · Physics 2020-07-15 Koen Groenland , Carla Groenland , Reinier Kramer
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