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Quantum algorithms offer significant speedups over their classical counterparts for a variety of problems. The strongest arguments for this advantage are borne by algorithms for quantum search, quantum phase estimation, and Hamiltonian…

Quantum Physics · Physics 2021-12-14 John M. Martyn , Zane M. Rossi , Andrew K. Tan , Isaac L. Chuang

Quantum annealing processors typically control qubits in unison, attenuating quantum fluctuations uniformly until the applied system Hamiltonian is diagonal in the computational basis. This simplifies control requirements, allowing…

In this paper, we address some of the key limitations to realizing a generic heterogeneous parallel programming model for quantum-classical heterogeneous platforms. We discuss our experience in enabling user-level multi-threading in QCOR as…

Present-day quantum systems face critical bottlenecks, including limited qubit counts, brief coherence intervals, and high susceptibility to errors-all of which obstruct the execution of large and complex circuits. The advancement of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-13 Waylon Luo , Jiapeng Zhao , Tong Zhan , Qiang Guan

We introduce a quantum dynamic programming framework that allows us to directly extend to the quantum realm a large body of classical dynamic programming algorithms. The corresponding quantum dynamic programming algorithms retain the same…

When working with algorithms on quantum devices, quantum memory becomes a crucial bottleneck due to low qubit count in NISQ-era devices. In this context, the concept of `divide and compute', wherein a quantum circuit is broken into several…

Quantum Physics · Physics 2022-08-25 Turbasu Chatterjee , Arnav Das , Shah Ishmam Mohtashim , Amit Saha , Amlan Chakrabarti

Dynamical Decoupling (DD) is perhaps the simplest and least resource-intensive error suppression strategy for improving quantum computer performance. Here we report on a large-scale survey of the performance of 60 different DD sequences…

Quantum Physics · Physics 2023-12-25 Nic Ezzell , Bibek Pokharel , Lina Tewala , Gregory Quiroz , Daniel A. Lidar

A quantum processing unit (QPU) must contain a large number of high quality qubits to produce accurate results for problems at useful scales. In contrast, most scientific and industry classical computation workloads happen in parallel on…

Emerging Technologies · Computer Science 2025-02-06 Wei Tang , Margaret Martonosi

The Simplex tableau has been broadly used and investigated in the industry and academia. With the advent of the big data era, ever larger problems are posed to be solved in ever larger machines whose architecture type did not exist in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-29 Demetrios Coutinho , Felipe O. Lins e Silva , Daniel Aloise , Samuel , Xavier-de-Souza

Decision diagrams (DDs) are a powerful data structure that is used to tackle the state-space explosion problem, not only for discrete systems, but for probabilistic and quantum systems as well. While many of the DDs used in the…

Computational Engineering, Finance, and Science · Computer Science 2025-08-06 Sebastiaan Brand , Arend-Jan Quist , Richard M. K. van Dijk , Alfons Laarman

This paper studies the nucleus decomposition problem, which has been shown to be useful in finding dense substructures in graphs. We present a novel parallel algorithm that is efficient both in theory and in practice. Our algorithm achieves…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-12 Jessica Shi , Laxman Dhulipala , Julian Shun

Exploiting the fact that samples drawn from a quantum annealer inherently follow a Boltzmann-like distribution, annealing-based Quantum Boltzmann Machines (QBMs) have gained increasing popularity in the quantum research community. While…

We propose a Quantum Machine Learning (QML) framework that leverages quantum parallelism to process entire training datasets in a single quantum operation, addressing the computational bottleneck of sequential data processing in both…

Quantum two-level systems, i.e. qubits, form the basis for most quantum machine learning approaches that have been proposed throughout the years. However, higher dimensional quantum systems constitute a promising alternative and are…

Quantum Physics · Physics 2023-08-30 Noah L. Wach , Manuel S. Rudolph , Fred Jendrzejewski , Sebastian Schmitt

Computation of a signal's estimated covariance matrix is an important building block in signal processing, e.g., for spectral estimation. Each matrix element is a sum of products of elements in the input matrix taken over a sliding window.…

Data Structures and Algorithms · Computer Science 2013-03-12 Oded Green , Lior David , Ami Galperin , Yitzhak Birk

Achieving high-performance computation on quantum systems presents a formidable challenge that necessitates bridging the capabilities between quantum hardware and classical computing resources. This study introduces an innovative…

Quantum Physics · Physics 2024-03-19 Kuan-Cheng Chen , Xiaoren Li , Xiaotian Xu , Yun-Yuan Wang , Chen-Yu Liu

As a variety of quantum computing models and platforms become available, methods for assessing and comparing the performance of these devices are of increasing interest and importance. Despite being built of the same fundamental…

Quantum Physics · Physics 2021-08-26 Adrien Suau , Jon Nelson , Marc Vuffray , Andrey Y. Lokhov , Lukasz Cincio , Carleton Coffrin

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

This report provides an introduction to algorithms for fundamental linear algebra problems on various parallel computer architectures, with the emphasis on distributed-memory MIMD machines. To illustrate the basic concepts and key issues,…

Data Structures and Algorithms · Computer Science 2015-03-17 Richard P. Brent

Parallel algorithms designed for simulation and performance evaluation of single-server tandem queueing systems with both infinite and finite buffers are presented. The algorithms exploit a simple computational procedure based on recursive…

Numerical Analysis · Mathematics 2012-11-30 Sergei M. Ermakov , Nikolai K. Krivulin
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