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Computational advantages gained by quantum algorithms rely largely on the coherence of quantum devices and are generally compromised by decoherence. As an exception, we present a quantum algorithm for graph isomorphism testing whose…

Quantum Physics · Physics 2016-12-22 M. Bruderer , M. B. Plenio

Continuous-time quantum walks (CTQWs) play a crucial role in quantum computing, especially for designing quantum algorithms. However, how to efficiently implement CTQWs is a challenging issue. In this paper, we study implementation of CTQWs…

Quantum Physics · Physics 2024-11-19 Zhaoyang Chen , Guanzhong Li , Lvzhou Li

The quantum approximate optimization algorithm (QAOA) is a variational method for noisy, intermediate-scale quantum computers to solve combinatorial optimization problems. Quantifying performance bounds with respect to specific problem…

Quantum Physics · Physics 2021-11-30 Phillip C. Lotshaw , Travis S. Humble , Rebekah Herrman , James Ostrowski , George Siopsis

Large scale graph processing using distributed computing frameworks is becoming pervasive and efficient in the industry. In this work, we present a highly scalable and configurable distributed algorithm for building connected components,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-26 Saigopal Thota , Mridul Jain , Nishad Kamat , Saikiran Malikireddy , Pruthvi Raj Eranti , Albin Kuruvilla

We study the Quantum Approximate Optimization Algorithm (QAOA) in the context of the Max-Cut problem. Near-term (noisy) quantum devices are only able to (accurately) execute QAOA at low circuit depths while QAOA requires a relatively high…

Quantum Physics · Physics 2023-08-24 Reuben Tate , Majid Farhadi , Creston Herold , Greg Mohler , Swati Gupta

Hypergraphs have gained increasing attention in the machine learning community lately due to their superiority over graphs in capturing super-dyadic interactions among entities. In this work, we propose a novel approach for the partitioning…

Machine Learning · Computer Science 2020-11-17 Deepak Maurya , Balaraman Ravindran

Graph sparsification serves as a foundation for many algorithms, such as approximation algorithms for graph cuts and Laplacian system solvers. As its natural generalization, hypergraph sparsification has recently gained increasing…

Quantum Physics · Physics 2025-05-06 Chenghua Liu , Minbo Gao , Zhengfeng Ji , Mingsheng Ying

Protein folding -- the problem of predicting the spatial structure of a protein given its sequence of amino-acids -- has attracted considerable research effort in biochemistry in recent decades. In this work, we explore the potential of…

Quantum Physics · Physics 2022-04-06 Sami Boulebnane , Xavier Lucas , Agnes Meyder , Stanislaw Adaszewski , Ashley Montanaro

In this work, we compare the performance of the Quantum Approximate Optimization Algorithm (QAOA) with state-of-the-art classical solvers such as Gurobi and MQLib to solve the combinatorial optimization problem MaxCut on 3-regular graphs.…

Quantum Physics · Physics 2024-05-01 Danylo Lykov , Jonathan Wurtz , Cody Poole , Mark Saffman , Tom Noel , Yuri Alexeev

In practical machine learning systems, graph based data representation has been widely used in various learning paradigms, ranging from unsupervised clustering to supervised classification. Besides those applications with natural graph or…

Machine Learning · Computer Science 2012-10-19 Jun Wang , Yinglong Xia

Combinatorial optimization problems on graphs have broad applications in science and engineering. The Quantum Approximate Optimization Algorithm (QAOA) is a method to solve these problems on a quantum computer by applying multiple rounds of…

Routing in wireless communication networks is shaped by mobility, interference, congestion, and competing service requirements, making route selection a high-dimensional constrained optimization problem rather than a simple shortest-path…

Decentralized optimization algorithms have received much attention due to the recent advances in network information processing. However, conventional decentralized algorithms based on projected gradient descent are incapable of handling…

Optimization and Control · Mathematics 2018-08-29 Hoi-To Wai , Jean Lafond , Anna Scaglione , Eric Moulines

Variational quantum algorithms (VQAs) have demonstrated considerable potential in solving NP-hard combinatorial problems in the contemporary near intermediate-scale quantum (NISQ) era. The quantum approximate optimisation algorithm (QAOA)…

Quantum Physics · Physics 2024-05-09 Boy Choy , David J. Wales

Quantum Approximate Optimization Algorithm (QAOA) is one of the leading candidates for demonstrating the quantum advantage using near-term quantum computers. Unfortunately, high device error rates limit us from reliably running QAOA…

Quantum Physics · Physics 2023-04-06 Ramin Ayanzadeh , Narges Alavisamani , Poulami Das , Moinuddin Qureshi

Quantum computing holds great potential to accelerate the process of solving complex combinatorial optimization problems. The Distributed Quantum Approximate Optimization Algorithm (DQAOA) addresses high-dimensional, dense problems using…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-13 Zhihao Xu , Srikar Chundury , Seongmin Kim , Amir Shehata , Xinyi Li , Ang Li , Tengfei Luo , Frank Mueller , In-Saeng Suh

The Quantum Approximate Optimization Algorithm (QAOA) has emerged as a promising approach for addressing combinatorial optimization problems on near-term quantum hardware. In this work, we conduct an empirical evaluation of QAOA on the…

Quantum Physics · Physics 2026-04-27 Evgenii Dolzhkov , Franz G. Fuchs , Dirk Oliver Theis

This paper studies the problem of sampling vector and tensor signals, which is the process of choosing sites in vectors and tensors to place sensors for better recovery. A small core tensor and multiple factor matrices can be used to…

Optimization and Control · Mathematics 2024-07-03 Hao Li , Dong Liang , Zixi Zhou , Zheng Xie

Quantum approximate optimization algorithm (QAOA) have promising applications in combinatorial optimization problems (COPs). We investigated the MaxCut problem in three different families of graphs using QAOA ansats with parameter transfer…

Quantum Physics · Physics 2026-01-23 Shubham Patel , Utkarsh Mishra

Hybrid quantum-classical algorithms such as the Quantum Approximate Optimization Algorithm (QAOA) are considered as one of the most encouraging approaches for taking advantage of near-term quantum computers in practical applications. Such…

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