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Entanglement is a crucial resource for quantum information processing, and so protocols to generate high fidelity entangled states on various hardware platforms are in demand. While spin chains have been extensively studied to generate…

Quantum Physics · Physics 2021-01-05 Jan Riegelmeyer , Dan Wignall , Marta P. Estarellas , Irene D'Amico , Timothy P. Spiller

An important objective for analyzing real-world graphs is to achieve scalable performance on large, streaming graphs. A challenging and relevant example is the graph partition problem. As a combinatorial problem, graph partition is NP-hard,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-10 Edward Kao , Vijay Gadepally , Michael Hurley , Michael Jones , Jeremy Kepner , Sanjeev Mohindra , Paul Monticciolo , Albert Reuther , Siddharth Samsi , William Song , Diane Staheli , Steven Smith

Distributed graph signal processing algorithms require the network nodes to communicate by exchanging messages in order to achieve a common objective. These messages have a finite precision in realistic networks, which may necessitate to…

Signal Processing · Electrical Eng. & Systems 2019-09-30 Isabela Cunha Maia Nobre , Pascal Frossard

Graph states are a key resource for measurement-based quantum computation and quantum networking, but state-preparation costs limit their practical use. Graph states related by local complement (LC) operations are equivalent up to…

Quantum Physics · Physics 2026-04-01 Nicholas Connolly , Shin Nishio , Dan E. Browne , William John Munro , Kae Nemoto

Distributed systems that manage and process graph-structured data internally solve a graph partitioning problem to minimize their communication overhead and query run-time. Besides computational complexity -- optimal graph partitioning is…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-24 Ruben Mayer , Hans-Arno Jacobsen

In the context of NISQ computers - Noise Intermediate Scale Quantum, it is a consensus that the distribution of circuits among processing agents is a viable approach to get greater scalability with small machines. This approach can increase…

Quantum Physics · Physics 2023-02-06 Waldemir Cambiucci , Regina Melo Silveira , Wilson Vicente Ruggiero

Processing large complex networks like social networks or web graphs has recently attracted considerable interest. In order to do this in parallel, we need to partition them into pieces of about equal size. Unfortunately, previous parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-27 Henning Meyerhenke , Peter Sanders , Christian Schulz

Graph states (or cluster states) are the entanglement resource that enables one-way quantum computing. They can be grown by projective measurements on the component qubits. Such measurements typically carry a significant failure…

Quantum Physics · Physics 2007-05-23 Earl T. Campbell , Joseph Fitzsimons , Simon C. Benjamin , Pieter Kok

Hypergraph partitioning is a fundamental optimization problem with applications in data management and other domains involving higher-order relations. In this paper, we study balanced hypergraph partitioning from the perspective of quantum…

Social and Information Networks · Computer Science 2026-05-05 Yiran Li , Y. Batuhan Yilmaz , Michael Silver , Zachary Vernec , Hans-Arno Jacobsen

Partitioning a graph into blocks of roughly equal weight while cutting only few edges is a fundamental problem in computer science with numerous practical applications. While shared-memory parallel partitioners have recently matured to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-06 Peter Sanders , Daniel Seemaier

On neutral atom platforms, preparing specific quantum states is usually achieved by pulse shaping, i.e., by optimizing the time-dependence of the Hamiltonian related to the system. This process can be extremely costly, as it requires…

Quantum Physics · Physics 2022-08-03 Wesley da Silva Coelho , Mauro D'Arcangelo , Louis-Paul Henry

In many practical applications, quantum algorithms require several qubits, significantly more than those available with current noisy intermediate-scale quantum processors. Distributed quantum computing (DQC) is considered a scalable…

Quantum Physics · Physics 2026-03-02 Michele Bandini , Davide Ferrari , Stefano Carretta , Michele Amoretti

This paper initiates the study of the classic balanced graph partitioning problem from an online perspective: Given an arbitrary sequence of pairwise communication requests between $n$ nodes, with patterns that may change over time, the…

Data Structures and Algorithms · Computer Science 2020-05-15 Chen Avin , Marcin Bienkowski , Andreas Loukas , Maciej Pacut , Stefan Schmid

One of the key aims of quantum networks is the efficient distribution of multipartite entangled states among end users. While various architectures have been proposed, each comes with distinct advantages and limitations. Many designs depend…

Quantum Physics · Physics 2025-04-11 Daniel Bhatti , Kenneth Goodenough

Near-term large quantum computers are not able to operate as a single processing unit. It is therefore required to partition a quantum circuit into smaller parts, and then each part is executed on a small unit. This approach is known as…

Distributed quantum computing (DQC) connects many small quantum processors into a single logical machine, offering a practical route to scalable quantum computation. However, most existing DQC paradigms are structure-agnostic. Circuit…

Quantum Physics · Physics 2026-03-10 Yuwen Huang , Xiaojun Lin , Bin Luo , John C. S. Lui

Quantum computers face inherent scaling challenges, a fact that necessitates investigation of distributed quantum computing systems, whereby scaling is achieved through interconnection of smaller quantum processing units. However,…

Quantum Physics · Physics 2026-01-21 Felix Burt , Kuan-Cheng Chen , Kin K. Leung

The distribution of high-quality Greenberger-Horne-Zeilinger (GHZ) states is at the heart of many quantum communication tasks, ranging from extending the baseline of telescopes to secret sharing. They also play an important role in…

Quantum Physics · Physics 2021-11-02 Sébastian de Bone , Runsheng Ouyang , Kenneth Goodenough , David Elkouss

The simulation of the physical movement of multi-body systems at an atomistic level, with forces calculated from a quantum mechanical description of the electrons, motivates a graph partitioning problem studied in this article. Several…

In this work, a graph partitioning problem in a fixed number of connected components is considered. Given an undirected graph with costs on the edges, the problem consists of partitioning the set of nodes into a fixed number of subsets with…

Optimization and Control · Mathematics 2024-11-12 Mishelle Cordero , Andrés Miniguano-Trujillo , Diego Recalde , Ramiro Torres , Polo Vaca