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We introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. Quantum fluctuations cause transitions between states and thus play the same role as thermal…

Statistical Mechanics · Physics 2009-10-31 Tadashi Kadowaki , Hidetoshi Nishimori

Using a specially constructed set of hard 2-SAT problems with four satisfying assignments, we study the scaling and sampling performance of numerical simulation of quantum annealing as well as that of the physical quantum annealers offered…

Quantum Physics · Physics 2025-11-04 Vrinda Mehta , Hans De Raedt , Kristel Michielsen , Fengping Jin

Quantum annealing is a general strategy for solving difficult optimization problems with the aid of quantum adiabatic evolution. Both analytical and numerical evidence suggests that under idealized, closed system conditions, quantum…

Quantum annealing is a method developed to solve combinatorial optimization problems by utilizing quantum bits. Solving such problems corresponds to minimizing a cost function defined over binary variables. However, in many practical cases,…

Quantum Physics · Physics 2025-06-26 Seiya Endo , Shohei Kawakatsu , Hiromichi Matsuyama , Kohei Suzuki , Yuichiro Matsuzaki

We propose a scheme to calibrate the internal parameters of a quantum annealer to obtain well-approximated samples for training a restricted Boltzmann machine (RBM). Empirically, samples from quantum annealers obey the Boltzmann…

Quantum Physics · Physics 2025-02-18 Takeru Goto , Masayuki Ohzeki

Quantum annealers are suited to solve several logistic optimization problems expressed in the QUBO formulation. However, the solutions proposed by the quantum annealers are generally not optimal, as thermal noise and other disturbing…

Quantum Physics · Physics 2024-05-21 Claudio Sanavio , Edoardo Tignone , Elisa Ercolessi

The observation of an unequivocal quantum speedup remains an elusive objective for quantum computing. The D-Wave quantum annealing processors have been at the forefront of experimental attempts to address this goal, given their relatively…

Quantum Physics · Physics 2018-08-08 Tameem Albash , Daniel A. Lidar

Quantum annealing is a computing paradigm that has the ambitious goal of efficiently solving large-scale combinatorial optimization problems of practical importance. However, many challenges have yet to be overcome before this goal can be…

To solve an optimization problem using a commercial quantum annealer, one has to represent the problem of interest as an Ising or a quadratic unconstrained binary optimization (QUBO) problem and submit its coefficients to the annealer,…

Quantum Physics · Physics 2023-06-13 Elijah Pelofske , Georg Hahn , Hristo Djidjev

Recent technological developments in the field of experimental quantum annealing have made prototypical annealing optimizers with hundreds of qubits commercially available. The experimental demonstration of a quantum speedup for…

Quantum Physics · Physics 2016-07-15 Jeffrey Marshall , Victor Martin-Mayor , Itay Hen

The debate around the potential superiority of quantum annealers over their classical counterparts has been ongoing since the inception of the field by Kadowaki and Nishimori close to two decades ago. Recent technological breakthroughs in…

Quantum Physics · Physics 2017-05-08 Brian Hu Zhang , Gene Wagenbreth , Victor Martin-Mayor , Itay Hen

Despite being considered as the next frontier in computation, Quantum Computing is still in an early stage of development. Indeed, current commercial quantum computers suffer from some critical restraints, such as noisy processes and a…

Quantum Physics · Physics 2022-07-04 Esther Villar-Rodriguez , Eneko Osaba , Izaskun Oregi

Quantum annealing is an emerging metaheuristic used for solving combinatorial optimisation problems. However, hardware based physical quantum annealers are primarily limited to a single vendor. As an alternative, we can discretise the…

Quantum Physics · Physics 2023-07-20 Ameya Bhave , Ajinkya Borle

An idea for an application of the quantum annealing mechanism to construct a projection measurement in a collective space is proposed. We use the annealing mechanism to drive the pointer degree of freedom associated with the measurement…

Quantum Physics · Physics 2018-03-21 Kentaro Imafuku

Energy-based models provide a natural bridge between statistical physics and machine learning by representing data through structured energy landscapes. Boltzmann machines are a particularly compelling class of such models for capturing…

Quantum Physics · Physics 2026-05-19 Gilhan Kim , Daniel K. Park

With the increasing popularity of quantum computing and in particular quantum annealing, there has been growing research to evaluate the meta-heuristic for various problems in linear algebra: from linear least squares to matrix and tensor…

Quantum Physics · Physics 2024-10-28 Ajinkya Borle , Samuel J. Lomonaco

Quantum machine learning has the potential to enable advances in artificial intelligence, such as solving problems intractable on classical computers. Some fundamental ideas behind quantum machine learning are similar to kernel methods in…

Quantum Physics · Physics 2023-08-15 Samuel Bosch , Bobak Kiani , Rui Yang , Adrian Lupascu , Seth Lloyd

With the advent of quantum computers, researchers are exploring if quantum mechanics can be leveraged to solve important problems in ways that may provide advantages not possible with conventional or classical methods. A previous work by…

Quantum Physics · Physics 2018-11-02 Ajinkya Borle , Samuel J. Lomonaco

Drawing independent samples from high-dimensional probability distributions represents the major computational bottleneck for modern algorithms, including powerful machine learning frameworks such as deep learning. The quest for discovering…

Quantum Physics · Physics 2022-10-13 Marc Vuffray , Carleton Coffrin , Yaroslav A. Kharkov , Andrey Y. Lokhov

Quantum annealing is a generic name of quantum algorithms to use quantum-mechanical fluctuations to search for the solution of optimization problem. It shares the basic idea with quantum adiabatic evolution studied actively in quantum…

Quantum Physics · Physics 2009-11-13 Satoshi Morita , Hidetoshi Nishimori