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We assess the prospects for algorithms within the general framework of quantum annealing (QA) to achieve a quantum speedup relative to classical state of the art methods in combinatorial optimization and related sampling tasks. We argue for…

量子物理 · 物理学 2021-06-22 E. J. Crosson , D. A. Lidar

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…

量子物理 · 物理学 2016-12-21 Yi-Chao Li , Xi Chen

We show that it is possible to use a classical computer to efficiently simulate the adiabatic evolution of a quantum system in one dimension with a constant spectral gap, starting the adiabatic evolution from a known initial product state.…

量子物理 · 物理学 2013-05-29 M. B. Hastings

A three-level atom in a $\Lambda$ configuration trapped in an optical cavity forms a basic unit in a number of proposed protocols for quantum information processing. Through control with an appropriate laser, this system allows for…

量子物理 · 物理学 2010-07-13 Joyee Ghosh , R. Ghosh , Deepak Kumar

The shift of interest from general purpose quantum computers to adiabatic quantum computing or quantum annealing calls for a broadly applicable and easy to implement test to assess how quantum or adiabatic is a specific hardware. Here we…

量子物理 · 物理学 2018-03-28 Bartłomiej Gardas , Jacek Dziarmaga , Wojciech H. Zurek , M. Zwolak

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…

量子物理 · 物理学 2015-06-26 Joonwoo Bae , Younghun Kwon

We outline an algorithm for the Quantum Counting problem using Adiabatic Quantum Computation (AQC). We show that using local adiabatic evolution, a process in which the adiabatic procedure is performed at a variable rate, the problem is…

量子物理 · 物理学 2014-06-02 Itay Hen

Adiabatic process has found many important applications in modern physics, the distinct merit of which is that it does not need accurate control over the timing of the process. However, it is a slow process, which limits the application in…

量子物理 · 物理学 2017-10-11 Xiao Zhou , Bao-Jie Liu , L. -B. Shao , Xin-Ding Zhang , Zheng-Yuan Xue

In this review, after providing the basic physical concept behind quantum annealing (or adiabatic quantum computation), we present an overview of some recent theoretical as well as experimental developments pointing to the issues which are…

统计力学 · 物理学 2023-01-18 Atanu Rajak , Sei Suzuki , Amit Dutta , Bikas K. Chakrabarti

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…

量子物理 · 物理学 2008-09-24 Gernot Schaller

Quantum simulation with adiabatic annealing can provide insight into difficult problems that are impossible to study with classical computers. However, it deteriorates when the systems scale up due to the shrinkage of the excitation gap and…

A major drawback of adiabatic quantum computing (AQC) is fulfilling the energy gap constraint, which requires the total evolution time to scale inversely with the square of the minimum energy gap. Failure to satisfy this condition violates…

量子物理 · 物理学 2025-10-10 Thi Ha Kyaw , Guillermo Romero , Gaurav Saxena

We analyse the problem of a single mode field interacting with a pair of two level atoms. The atoms enter and exit the cavity at different times. Instead of using constant coupling, we use time dependent couplings which represent the…

量子物理 · 物理学 2010-10-15 C. Lazarou , B. M. Garraway

We study the dynamics of a pair of atoms, resonantly interacting with a single mode cavity, in the situation where the atoms enter the cavity with a time delay between them. Using time dependent coupling functions to represent the spatial…

量子物理 · 物理学 2010-10-15 C. Lazarou , B. M. Garraway

The quantitative adiabatic condition (QAC), or quantitative condition, is a convenient (a priori) tool for estimating the adiabaticity of quantum evolutions. However, the range of the applicability of QAC is not well understood. It has been…

量子物理 · 物理学 2014-05-13 Dafa Li , Man-Hong Yung

Adiabatic quantum algorithms represent a promising approach to universal quantum computation. Whilst in a closed system these algorithms are limited by avoided level crossings, where the gap becomes exponentially small in the system size,…

Adiabatic transport provides a powerful way to manipulate quantum states. By preparing a system in a readily initialised state and then slowly changing its Hamiltonian, one may achieve quantum states that would otherwise be inaccessible.…

量子物理 · 物理学 2015-02-13 P. J. D. Crowley , T. Duric , W. Vinci , P. A. Warburton , A. G. Green

Topological quantum computing promises error-resistant quantum computation without active error correction. However, there is a worry that during the process of executing quantum gates by braiding anyons around each other, extra anyonic…

量子物理 · 物理学 2015-08-05 Chris Cesare , Andrew J. Landahl , Dave Bacon , Steven T. Flammia , Alice Neels

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

We give a quantum algorithm for solving instances of the satisfiability problem, based on adiabatic evolution. The evolution of the quantum state is governed by a time-dependent Hamiltonian that interpolates between an initial Hamiltonian,…

量子物理 · 物理学 2007-05-23 Edward Farhi , Jeffrey Goldstone , Sam Gutmann , Michael Sipser