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Quantum annealers like those from D-Wave Systems implement adiabatic quantum computing to solve optimization problems, but their analog nature and limited control functionalities present challenges to correcting or mitigating errors. As…

Quantum Physics · Physics 2024-04-11 Hristo N. Djidjev

Critical decision-making issues in science, engineering, and industry are based on combinatorial optimization; however, its application is inherently limited by the NP-hard nature of the problem. A specialized paradigm of analogue quantum…

Quantum Physics · Physics 2026-02-04 Rudraksh Sharma , Ravi Katukam , Arjun Nagulapally

Recent demonstrations on specialized benchmarks have reignited excitement for quantum computers, yet whether they can deliver an advantage for practical real-world problems remains an open question. Here, we show that probabilistic…

Quantum annealers of D-Wave Systems, Inc., offer an efficient way to compute high quality solutions of NP-hard problems. This is done by mapping a problem onto the physical qubits of the quantum chip, from which a solution is obtained after…

Quantum Physics · Physics 2022-11-30 Elijah Pelofske , Georg Hahn , Hristo N. Djidjev

The Dirichlet process (DP) is a fundamental mathematical tool for Bayesian nonparametric modeling, and is widely used in tasks such as density estimation, natural language processing, and time series modeling. Although MCMC inference…

Machine Learning · Statistics 2013-04-09 Dan Lovell , Jonathan Malmaud , Ryan P. Adams , Vikash K. Mansinghka

We demonstrate the feasibility of framing a classically learned deep neural network as an energy based model that can be processed on a one-step quantum annealer in order to exploit fast sampling times. We propose approaches to overcome two…

Quantum Physics · Physics 2021-07-20 Catherine F. Higham , Adrian Bedford

Quantum annealing (QA) has gained considerable attention because it can be applied to combinatorial optimization problems, which have numerous applications in logistics, scheduling, and finance. In recent years, research on solving…

Quantum Physics · Physics 2022-05-04 Michiya Kuramata , Ryota Katsuki , Kazuhide Nakata

Hard Attention Mechanisms (HAMs) effectively filter essential information discretely and significantly boost the performance of machine learning models on large datasets. Nevertheless, they confront the challenge of non-differentiability,…

Quantum Physics · Physics 2024-12-31 Ren-Xin Zhao

We present a hybrid classical-quantum computing paradigm where the quantum part strictly runs within the coherence time of a quantum annealer, a method we call variational coherent quantum annealing (VCQA). It involves optimizing the…

Quantum Physics · Physics 2023-10-04 N. Barraza , G. Alvarado Barrios , I. Montalban , E. Solano , F. Albarrán-Arriagada

Are quantum advantages in discrete manufacturing achievable in the near term? As manufacturing-relevant NISQ algorithms, we identified Quantum Annealing (QA) and the Quantum Approximate Optimization Algorithm (QAOA) for combinatorial…

Quantum Physics · Physics 2022-09-21 Oxana Shaya

In this work we propose a highly optimized version of a simulated annealing (SA) algorithm adapted to the more recently developed Graphic Processor Units (GPUs). The programming has been carried out with CUDA toolkit, specially designed for…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-02 A. M. Ferreiro , J. A. García , J. G. López-Salas , C. Vázquez

The quadratic assignment problem (QAP) is one of the most difficult combinatorial optimization problems. An effective heuristic for obtaining approximate solutions to the QAP is simulated annealing (SA). Here we describe an SA…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Gerald Paul

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

We analyze the performance of quantum annealing as a heuristic optimization method to find the absolute minimum of various continuous models, including landscapes with only two wells and also models with many competing minima and with…

Statistical Mechanics · Physics 2015-11-25 E. M. Inack , S. Pilati

Current quantum annealing (QA) hardware suffers from practical limitations such as finite temperature, sparse connectivity, small qubit numbers, and control error. We propose new algorithms for mapping boolean constraint satisfaction…

Quantum Physics · Physics 2016-03-11 Zhengbing Bian , Fabian Chudak , Robert Israel , Brad Lackey , William G. Macready , Aidan Roy

Digital-analog quantum computing (DAQC) offers a promising approach to addressing the challenges of building a practical quantum computer. By efficiently allocating resources between digital and analog quantum circuits, DAQC paves the way…

Quantum Physics · Physics 2024-04-08 Tadashi Kadowaki

We introduce the reinforcement quantum annealing (RQA) scheme in which an intelligent agent interacts with a quantum annealer that plays the stochastic environment role of learning automata and tries to iteratively find better Ising…

Quantum Physics · Physics 2020-01-03 Ramin Ayanzadeh , Milton Halem , Tim Finin

We develop a quantum algorithm to solve combinatorial optimization problems through quantum simulation of a classical annealing process. Our algorithm combines techniques from quantum walks, quantum phase estimation, and quantum Zeno…

Quantum Physics · Physics 2007-12-07 R. Somma , S. Boixo , H. Barnum

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

Recent studies on quantum computing algorithms focus on excavating features of quantum computers which have potential for contributing to computational model enhancements. Among various approaches, quantum annealing methods effectively…

Quantum Physics · Physics 2021-11-02 Sun Woo Park , Hyunju Lee , Byung Chun Kim , Youngho Woo , Kyungtaek Jun