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Hybrid quantum computing is considered the present and the future within the field of quantum computing. Far from being a passing fad, this trend cannot be considered just a stopgap to address the limitations of NISQ-era devices. The…

Emerging Technologies · Computer Science 2024-09-13 Eneko Osaba , Esther Villar-Rodriguez , Aitor Gomez-Tejedor , Izaskun Oregi

Quantum computing has the potential for disruptive change in many sectors of industry, especially in materials science and optimization. In this paper, we describe how the Turbine Balancing Problem can be solved with quantum computing,…

Recent work [Sachdeva et al.] presented an iterative hybrid quantum variational optimization algorithm designed by Q-CTRL and executed on IBM gate-based quantum processing units (QPUs), claiming a significant performance advantage against a…

Quantum Physics · Physics 2024-06-28 Catherine C. McGeoch , Kevin Chern , Pau Farré , Andrew K. King

This paper experimentally investigates the behavior of analog quantum computers such as commercialized by D-Wave when confronted to instances of the maximum cardinality matching problem specifically designed to be hard to solve by means of…

Quantum Physics · Physics 2019-10-14 Daniel Vert , Renaud Sirdey , Stéphane Louise

Quantum annealing devices have been subject to various analyses in order to classify their usefulness for practical applications. While it has been successfully proven that such systems can in general be used for solving combinatorial…

Quantum Physics · Physics 2019-03-18 Michael Streif , Florian Neukart , Martin Leib

The utility of satisfiability (SAT) as an application focused hard computational problem is well established. We explore the potential of quantum annealing to enhance classical SAT solving, especially where sampling from the space of all…

Quantum Physics · Physics 2016-12-22 Kristen L. Pudenz , Gregory S. Tallant , Todd R. Belote , Steven H. Adachi

Quantum annealing promises to solve complex combinatorial optimization problems faster than current transistor-based computer technologies. Although to date only one commercially-available quantum annealer is procurable, one can already…

Quantum Physics · Physics 2018-06-21 Helmut G. Katzgraber

We present a general method, called Qade, for solving differential equations using a quantum annealer. The solution is obtained as a linear combination of a set of basis functions. On current devices, Qade can solve systems of coupled…

Quantum Physics · Physics 2022-04-11 Juan Carlos Criado , Michael Spannowsky

Although the performance of hybrid quantum-classical algorithms is highly dependent on the selection of the classical optimizer and the circuit ansatz, a robust and thorough assessment on-hardware of such features has been missing to date.…

Quantum Physics · Physics 2019-01-24 Vicente Leyton-Ortega , Alejandro Perdomo-Ortiz , Oscar Perdomo

In this exploratory numerical study, we assess the suitability of Quantum Linear Solvers(QLSs)toward providing a quantum advantage for Networks-based Linear System Problems (NLSPs). NLSPs naturally arise from graphs, and are of importance…

We present an efficient quantum algorithm for some independent set problems in graph theory, based on non-abelian adiabatic mixing. We illustrate the performance of our algorithm with analysis and numerical calculations for two different…

Quantum Physics · Physics 2020-01-22 Biao Wu , Hongye Yu , Frank Wilczek

NP-hard problems such as the maximum clique or minimum vertex cover problems, two of Karp's 21 NP-hard problems, have several applications in computational chemistry, biochemistry and computer network security. Adiabatic quantum annealers…

Quantum Physics · Physics 2022-03-01 Elijah Pelofske , Georg Hahn , Hristo Djidjev

The logistic network design is an abstract optimization problem that, under the assumption of minimal cost, seeks the optimal configuration of the supply chain's infrastructures and facilities based on customer demand. Key economic…

Quantum Physics · Physics 2021-02-04 Yongcheng Ding , Xi Chen , Lucas Lamata , Enrique Solano , Mikel Sanz

Although quantum computing hardware has evolved significantly in recent years, spurred by increasing industrial and government interest, the size limitation of current generation quantum computers remains an obstacle when applying these…

Quantum Physics · Physics 2020-01-20 Gideon Bass , Max Henderson , Joshua Heath , Joseph Dulny

In this work, we develop a new quantum algorithm to solve a combinatorial problem with significant practical relevance occurring in clutch manufacturing. It is demonstrated how quantum optimization can play a role in real industrial…

Simulating nonlinear partial differential equations (PDEs) such as the Navier--Stokes (NS) equations remains computationally intensive, especially when implicit time integration is used to capture multiscale flow dynamics. This work…

Fluid Dynamics · Physics 2025-08-29 Shaobo Yao , Zhiyu Duan , Ziteng Wang , Wenwen Zhao , Shiying Xiong

By analyzing the characteristics of hardware-native Ising Models and their performance on current and next generation quantum annealers, we provide a framework for determining the prospect of advantage utilizing adiabatic evolution compared…

Quantum Physics · Physics 2024-06-25 Salvatore Certo , Georgios Korpas , Andrew Vlasic , Philip Intallura

Quantum annealers (QA), such as D-Wave systems, become increasingly efficient and competitive at solving combinatorial optimization problems. However, solving problems that do not directly map the chip topology remains challenging for this…

Quantum Physics · Physics 2024-07-30 Valentin Gilbert , Stéphane Louise

We develop and apply several strategies for setting physical parameters on quantum annealers for application problems that do not fit natively on the hardware graph. The strategies are tested with a culled random set of mixed satisfiability…

Quantum Physics · Physics 2016-11-24 Kristen L. Pudenz

Neutral atom arrays have emerged as a versatile candidate for the embedding of hard classical optimization problems. Prior work has focused on mapping problems onto finding the maximum independent set of weighted or unweighted unit disk…

Quantum Physics · Physics 2026-03-02 Toonyawat Angkhanawin , Aydin Deger , Jonathan D. Pritchard , C. Stuart Adams