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Quantum annealing is getting increasing attention in combinatorial optimization. The quantum processing unit by D-Wave is constructed to approximately solve Ising models on so-called Chimera graphs. Ising models are equivalent to quadratic…

Data Structures and Algorithms · Computer Science 2019-04-30 Michael Juenger , Elisabeth Lobe , Petra Mutzel , Gerhard Reinelt , Franz Rendl , Giovanni Rinaldi , Tobias Stollenwerk

Quantum annealing is a generic solver for optimization problems that uses fictitious quantum fluctuation. The most groundbreaking progress in the research field of quantum annealing is its hardware implementation, i.e., the so-called…

Quantum Physics · Physics 2020-02-14 Masayuki Ohzeki

Recently, a programmable quantum annealing machine has been built that minimizes the cost function of hard optimization problems by adiabatically quenching quantum fluctuations. Tests performed by different research teams have shown that,…

Disordered Systems and Neural Networks · Physics 2014-04-14 Helmut G. Katzgraber , Firas Hamze , Ruben S. Andrist

Recent advances in quantum technology have led to the development and manufacturing of experimental programmable quantum annealing optimizers that contain hundreds of quantum bits. These optimizers, named `D-Wave' chips, promise to solve…

Quantum Physics · Physics 2015-10-23 Victor Martin-Mayor , Itay Hen

There has been considerable progress in the design and construction of quantum annealing devices. However, a conclusive detection of quantum speedup over traditional silicon-based machines remains elusive, despite multiple careful studies.…

Quantum Physics · Physics 2015-09-03 Helmut G. Katzgraber , Firas Hamze , Zheng Zhu , Andrew J. Ochoa , H. Munoz-Bauza

We study the spin-glass transition in several Ising models of relevance for quantum annealers. We extract the spin-glass critical temperature by extrapolating the pseudo-critical properties obtained with Replica-Exchange Monte-Carlo for…

Quantum Physics · Physics 2025-01-09 Gabriel Jaumà , Juan José García-Ripoll , Manuel Pino

Recent tests performed on the D-Wave Two quantum annealer have revealed no clear evidence of speedup over conventional silicon-based technologies. Here, we present results from classical parallel-tempering Monte Carlo simulations combined…

Quantum Physics · Physics 2016-01-19 Zheng Zhu , Andrew J. Ochoa , Stefan Schnabel , Firas Hamze , Helmut G. Katzgraber

Experiments on disordered alloys suggest that spin glasses can be brought into low-energy states faster by annealing quantum fluctuations than by conventional thermal annealing. Due to the importance of spin glasses as a paradigmatic…

Physical annealing systems provide heuristic approaches to solving NP-hard Ising optimization problems. Here, we study the performance of two types of annealing machines--a commercially available quantum annealer built by D-Wave Systems,…

In order to solve real world combinatorial optimization problems with a D-Wave quantum annealer it is necessary to embed the problem at hand into the D-Wave hardware graph, namely Chimera or Pegasus. Most hard real world problems exhibit a…

Quantum Physics · Physics 2021-09-01 Elisabeth Lobe , Lukas Schürmann , Tobias Stollenwerk

Motivated by the recent development of quantum technology using quantum annealing technique and the recent works on the static properties of the Sherrington-Kirkpatrick (SK) spin glass model, we study quantum annealing of the spin glass…

Statistical Mechanics · Physics 2023-12-05 Atanu Rajak , Bikas K Chakrabarti

There are many factors that influence the design of quantum annealing processing units. Here we address the issue of improving quantum annealing processing unit designs from the point of view of the critical behavior of spin glasses. It has…

Quantum Physics · Physics 2018-11-05 Helmut G. Katzgraber , M. A. Novotny

Quantum Annealing (QA) can be used to quickly obtain near-optimal solutions for Quadratic Unconstrained Binary Optimization (QUBO) problems. In QA hardware, each decision variable of a QUBO should be mapped to one or more adjacent qubits in…

Data Structures and Algorithms · Computer Science 2021-01-21 Thiago Serra , Teng Huang , Arvind Raghunathan , David Bergman

We propose and demonstrate numerically a fast classical annealing scheme for the Sherrington-Kirkpatrick (SK) spin glass model, employing the Suzuki-Kubo meanfield Ising dynamics (supplemented by a modified Thouless-Anderson-Palmer reaction…

Disordered Systems and Neural Networks · Physics 2025-06-18 Soumyaditya Das , Soumyajyoti Biswas , Bikas K. Chakrabarti

Quantum annealing has the potential to find low energy solutions of NP-hard problems that can be expressed as quadratic unconstrained binary optimization problems. However, the hardware of the quantum annealer manufactured by D-Wave…

Quantum Physics · Physics 2024-01-22 Elijah Pelofske , Georg Hahn , Hristo N. Djidjev

Let ${\boldsymbol A}\in{\mathbb R}^{n\times n}$ be a symmetric random matrix with independent and identically distributed Gaussian entries above the diagonal. We consider the problem of maximizing $\langle{\boldsymbol \sigma},{\boldsymbol…

Probability · Mathematics 2019-04-08 Andrea Montanari

An important challenge in superconducting quantum computing is the need to physically couple many devices using quasi-two-dimensional fabrication processes. Recent advances in the design and fabrication of quantum annealing processors have…

Quantum Physics · Physics 2020-09-29 Andrew D. King , William Bernoudy

Quantum annealing devices such as the ones produced by D-Wave systems are typically used for solving optimization and sampling tasks, and in both academia and industry the characterization of their usefulness is subject to active research.…

We evaluate the application of quantum annealing (QA) to a real-world combinatorial optimisation problem-room scheduling for sports camps at the Australian Institute of Sport-using both classical and quantum approaches. Due to current…

Quantum Physics · Physics 2025-09-08 Krzysztof Giergiel , Y. Sam Yang , Anthony B. Murphy

Quantum annealing is a contender to solve combinatorial optimization problems based on quantum dynamics. While significant efforts have been undertaken to investigate the quality of the solutions and the required runtimes, much less…

Statistical Mechanics · Physics 2023-06-05 Artem Rakcheev , Andreas M. Läuchli
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