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We conducted a systematic survey of emerging quantum-HPC platforms, which integrate quantum computers and High-Performance Computing (HPC) systems through co-location. Currently, it remains unclear whether such platforms provide tangible…

It has been proved by Kempe that discrete quantum walks on the hypercube (HC) hit exponentially faster than the classical analog. The same was also observed numerically by Krovi and Brun for a slightly different property, namely, the…

Quantum Physics · Physics 2014-08-20 Adi Makmal , Manran Zhu , Daniel Manzano , Markus Tiersch , Hans J. Briegel

Hybrid computational architectures based on the joint power of Central Processing Units and Graphic Processing Units (GPUs) are becoming popular and powerful hardware tools for a wide range of simulations in biology, chemistry, engineering,…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Roberto Capuzzo-Dolcetta , Mario Spera

Inspired by the classical phenomenon of random walk, the concept of quantum walk has emerged recently as a powerful platform for the dynamical simulation of complex quantum systems, entanglement production and universal quantum computation.…

The advent of high performance computing (HPC) and graphics processing units (GPU), present an enormous computation resource for Large data transactions (big data) that require parallel processing for robust and prompt data analysis. While…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-17 Kato Mivule , Benjamin Harvey , Crystal Cobb , Hoda El Sayed

Quantum walks, in virtue of the coherent superposition and quantum interference, possess exponential superiority over its classical counterpart in applications of quantum searching and quantum simulation. The quantum enhanced power is…

Continuous time quantum walks on exponentially large, sparse graphs form a powerful paradigm for quantum computing: On the one hand, they can be efficiently simulated on a quantum computer. On the other hand, they are themselves…

Quantum Physics · Physics 2025-12-04 Lilith Zschetzsche , Refik Mansuroglu , András Molnár , Norbert Schuch

Computing stands to be radically improved by neuromorphic computing (NMC) approaches inspired by the brain's incredible efficiency and capabilities. Most NMC research, which aims to replicate the brain's computational structure and…

Neural and Evolutionary Computing · Computer Science 2022-03-02 J. Darby Smith , Aaron J. Hill , Leah E. Reeder , Brian C. Franke , Richard B. Lehoucq , Ojas Parekh , William Severa , James B. Aimone

The rapid development of quantum computing has led to increasing interest in quantum algorithms for a variety of different applications. Quantum walks have also experienced a surge in interest due to their potential use in quantum…

Quantum Physics · Physics 2024-03-26 Vivek Wadhia , Nicholas Chancellor , Viv Kendon

At large scales, quantum systems may become advantageous over their classical counterparts at performing certain tasks. Developing tools to analyse these systems at the relevant scales, in a manner consistent with quantum mechanics, is…

Quantum Physics · Physics 2024-11-12 Timon Schapeler , Robert Schade , Michael Lass , Christian Plessl , Tim J. Bartley

We propose a simulation-based approach for performance modeling of parallel applications on high-performance computing platforms. Our approach enables full-system performance modeling: (1) the hardware platform is represented by an abstract…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-06 Gen Xu , Huda Ibeid , Xin Jiang , Vjekoslav Svilan , Zhaojuan Bian

We introduce an object called a \emph{subspace graph} that formalizes the technique of multidimensional quantum walks. Composing subspace graphs allows one to seamlessly combine quantum and classical reasoning, keeping a classical structure…

Quantum Physics · Physics 2024-05-09 Stacey Jeffery , Galina Pass

Quantum state preparation is vital in quantum computing and information processing. The ability to accurately and reliably prepare specific quantum states is essential for various applications. One of the promising applications of quantum…

Quantum Physics · Physics 2024-04-26 Yen-Jui Chang , Wei-Ting Wang , Hao-Yuan Chen , Shih-Wei Liao , Ching-Ray Chang

Quantum computing promises to improve the information processing power to levels unreachable by classical computation. Quantum walks are heading the development of quantum algorithms for searching information on graphs more efficiently than…

Many applications require to learn, mine, analyze and visualize large-scale graphs. These graphs are often too large to be addressed efficiently using conventional graph processing technologies. Many applications have requirements to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-23 Santosh Pandey , Lingda Li , Adolfy Hoisie , Xiaoye S. Li , Hang Liu

High Energy Physics (HEP) experiments are making increasing use of GPUs and GPU dominated High Performance Computer facilities. Both the software and hardware of these systems are rapidly evolving, creating challenges for experiments to…

High Energy Physics - Experiment · Physics 2025-05-15 Mohammad Atif , Pengfei Ding , Ka Hei Martin Kwok , Charles Leggett

We compare discrete-time quantum walks on graphs to their natural classical equivalents, which we argue are lifted Markov chains, that is, classical Markov chains with added memory. We show that these can simulate quantum walks, allowing us…

Quantum Physics · Physics 2018-09-26 Simon Apers , Alain Sarlette , Francesco Ticozzi

Quantum computing proposes a revolutionary paradigm that can radically transform numerous scientific and industrial application domains. To realize this promise, these new capabilities need software solutions that are able to effectively…

Quantum Physics · Physics 2025-07-11 Otso Kinanen , Andrés D. Muñoz-Moller , Vlad Stirbu , Tommi Mikkonen

Many promising quantum applications depend on the efficient quantum simulation of an exponentially large sparse Hamiltonian, a task known as sparse Hamiltonian simulation, which is fundamentally important in quantum computation. Although…

Quantum Physics · Physics 2025-09-16 Jiaqi Leng , Joseph Li , Yuxiang Peng , Xiaodi Wu

The characterization of the Hamiltonian parameters defining a quantum walk is of paramount importance when performing a variety of tasks, from quantum communication to computation. When dealing with physical implementations of quantum…

Quantum Physics · Physics 2024-03-15 Ilaria Gianani , Claudia Benedetti