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We introduce a Hybrid Quantum Residual Network (HQRN) and establish an exact functional correspondence between its state evolution and the dynamics of classical networks with residual connections. When inputs are restricted to the…

Quantum Physics · Physics 2026-04-20 Junxu Li

In the past decade, remarkable progress has been achieved in deep learning related systems and applications. In the post Moore's Law era, however, the limit of semiconductor fabrication technology along with the increasing data size have…

Quantum Physics · Physics 2022-04-04 Samuel A. Stein , Betis Baheri , Daniel Chen , Ying Mao , Qiang Guan , Ang Li , Shuai Xu , Caiwen Ding

The Hamiltonian cycle problem (HCP), which is an NP-complete problem, consists of having a graph G with n nodes and m edges and finding the path that connects each node exactly once. In this paper we compare some algorithms to solve a…

Quantum Physics · Physics 2023-12-19 Giuseppe Corrente , Carlo Vincenzo Stanzione , Vittoria Stanzione

Quantum machine learning has emerged as a promising approach to improve feature extraction and classification tasks in high-dimensional data domains such as medical imaging. In this work, we present a hybrid Quantum-Classical Convolutional…

Quantum Physics · Physics 2026-05-12 Ece Yurtseven

One of the main challenges in drug discovery is to find molecules that bind specifically and strongly to their target protein while having minimal binding to other proteins. By predicting binding affinity, it is possible to identify the…

Quantum Physics · Physics 2023-01-19 L. Domingo , M. Djukic , C. Johnson , F. Borondo

Machine Learning (ML) has been widely applied across numerous domains due to its ability to automatically identify informative patterns from data for various tasks. The availability of large-scale data and advanced computational power…

Recent computations involving quantum processing units (QPUs) have demonstrated a series of challenges inherent to hybrid classical-quantum programming, compilation, execution, and verification and validation. Despite considerable progress,…

Quantum Physics · Physics 2018-05-24 Alexander McCaskey , Eugene Dumitrescu , Dmitry Liakh , Travis Humble

This study explores the challenge of improving multiclass image classification through quantum machine-learning techniques. It explores how the discarded qubit states of Noisy Intermediate-Scale Quantum (NISQ) quantum convolutional neural…

Quantum Physics · Physics 2025-08-26 Shuchismita Anwar , Sowmitra Das , Muhammad Iqbal Hossain , Jishnu Mahmud

Quantum machine learning holds the promise of combining the success of classical machine learning methods with the power of quantum computing, however one of the largest obstacles facing the field is the problem of barren plateaus.…

Quantum Physics · Physics 2026-05-11 Tiffany Duneau , Colin Krawchuk , Anna Pearson

Recovery rate prediction plays a pivotal role in bond investment strategies by enhancing risk assessment, optimizing portfolio allocation, improving pricing accuracy, and supporting effective credit risk management. However, accurate…

Computational Finance · Quantitative Finance 2026-01-27 Ying Chen , Paul Griffin , Paolo Recchia , Lei Zhou , Hongrui Zhang

Quantum machine learning (QML) has been identified as one of the key fields that could reap advantages from near-term quantum devices, next to optimization and quantum chemistry. Research in this area has focused primarily on variational…

Quantum Physics · Physics 2022-06-01 Andrea Skolik , Sofiene Jerbi , Vedran Dunjko

State-space models (SSMs), such as Mamba (Gu & Dao, 2023), have been proposed as alternatives to Transformer networks in language modeling, by incorporating gating, convolutions, and input-dependent token selection to mitigate the quadratic…

Machine Learning · Computer Science 2024-04-26 Jongho Park , Jaeseung Park , Zheyang Xiong , Nayoung Lee , Jaewoong Cho , Samet Oymak , Kangwook Lee , Dimitris Papailiopoulos

Mixed Integer Linear Programming (MILP) can be considered the backbone of the modern power system optimization process, with a large application spectrum, from Unit Commitment and Optimal Transmission Switching to verifying Neural Networks…

Quantum Physics · Physics 2024-04-17 Petros Ellinas , Samuel Chevalier , Spyros Chatzivasileiadis

The recent advent of commercially available quantum annealing hardware (QAH) has expanded opportunities for research into quantum annealing-based algorithms. In the domain of power systems, this advancement has driven increased interest in…

Optimization and Control · Mathematics 2025-03-26 Rosemary Barrass , Harsha Nagarajan , Carleton Coffrin

A unique feature of the hybrid quantum Monte Carlo (HQMC) method is the potential to simulate negative sign free lattice fermion models with subcubic scaling in system size. Here we will revisit the algorithm for various models. We will…

Strongly Correlated Electrons · Physics 2018-03-09 Stefan Beyl , Florian Goth , Fakher F. Assaad

Simulating quantum algorithms with classical resources generally requires exponential resources. However, heuristic classical approaches are often very efficient in approximately simulating special circuit structures, for example with…

Quantum Physics · Physics 2018-08-17 Bjarni Jónsson , Bela Bauer , Giuseppe Carleo

Quantum Computing (QC) offers the potential to enhance traditional High-Performance Computing (HPC) workloads by leveraging the unique properties of quantum computers, leading to the emergence of a new paradigm: HPC-QC. While this…

Quantum computing has become increasingly practical in solving real-world problems due to advances in hardware and algorithms. In this paper, we aim to design and estimate quantum machine learning and hybrid quantum-classical models in a…

Quantum Physics · Physics 2025-07-14 Leyang Wang , Yilun Gong , Zongrui Pei

Machine learning has been presented as one of the key applications for near-term quantum technologies, given its high commercial value and wide range of applicability. In this work, we introduce the \textit{quantum-assisted Helmholtz…

Quantum Physics · Physics 2018-05-24 Marcello Benedetti , John Realpe-Gómez , Alejandro Perdomo-Ortiz

Quantum probability provides a novel framework for formulating machine-learning (ML) problems in Hilbert space. We introduce a prototype-based learning scheme where class representatives are encoded as generative matrix product states…

Quantum Physics · Physics 2026-05-19 Kun Zhang , Lei Ding , Sheng-Chen Bai , Jing Sun , An-Qi Jing , Min Tang , Shi-Ju Ran