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Designing parameterized quantum circuits (PQCs) that are expressive, trainable, and robust to hardware noise is a central challenge for quantum machine learning (QML) on noisy intermediate-scale quantum (NISQ) devices. We present a…

Quantum Physics · Physics 2025-12-22 Gurinder Singh , Thaddeus Pellegrini , Kenneth M. Merz,

Quantum machine learning uses principles from quantum mechanics to process data, offering potential advances in speed and performance. However, previous work has shown that these models are susceptible to attacks that manipulate input data…

Integrating quantum computing into deep learning architectures is a promising but poorly understood endeavor: when does a quantum layer actually help, and how much quantum is enough? We address both questions through Quantum Adaptive…

Quantum Physics · Physics 2026-04-23 Chi-Sheng Chen , En-Jui Kuo

In this paper, we propose a robust subspace-constrained quadratic model (SCQM) for learning low-dimensional structure from high-dimensional data. Building upon the subspace-constrained quadratic matrix factorization (SQMF) framework, the…

Machine Learning · Computer Science 2026-05-21 Zheng Zhai , Xiaohui Li

Variational quantum algorithms (VQAs) are hybrid quantum-classical approaches used for tackling a wide range of problems on noisy intermediate-scale quantum (NISQ) devices. Testing these algorithms on relevant hardware is crucial to…

The CP tensor decomposition is used in applications such as machine learning and signal processing to discover latent low-rank structure in multidimensional data. Computing a CP decomposition via an alternating least squares (ALS) method…

Numerical Analysis · Mathematics 2021-12-22 Rachel Minster , Irina Viviano , Xiaotian Liu , Grey Ballard

Advancements in quantum computing have spurred significant interest in harnessing its potential for speedups over classical systems. However, noise remains a major obstacle to achieving reliable quantum algorithms. In this work, we present…

Quantum Physics · Physics 2025-05-29 Lucas Tecot , Di Luo , Cho-Jui Hsieh

Concatenating quantum error correction codes scales error correction capability by driving logical error rates down double-exponentially across levels. However, the noise structure shifts under concatenation, making it hard to choose an…

Quantum Physics · Physics 2026-04-17 Nico Meyer , Christopher Mutschler , Dominik Seuß , Andreas Maier , Daniel D. Scherer

Quantum computation and communication are important branches of quantum information science. However, noise in realistic quantum devices fundamentally limits the utility of these quantum technologies. A conventional approach towards…

Quantum Physics · Physics 2021-03-18 Kyungjoo Noh

Variational algorithms are a promising paradigm for utilizing near-term quantum devices for modeling electronic states of molecular systems. However, previous bounds on the measurement time required have suggested that the application of…

Quantum computing not only holds the potential to solve long-standing problems in quantum physics, but also to offer speed-ups across a broad spectrum of other fields. However, due to the noise and the limited scale of current quantum…

Quantum Physics · Physics 2024-03-05 Julien Gacon

Noise is a major obstacle in current quantum computing, and Machine Learning for Quantum Error Mitigation (ML-QEM) promises to address this challenge, enhancing computational accuracy while reducing the sampling overheads of standard QEM…

Quantum Physics · Physics 2025-01-09 Xiao-Yue Xu , Xin Xue , Tianyu Chen , Chen Ding , Tian Li , Haoyi Zhou , He-Liang Huang , Wan-Su Bao

We consider sequential state and parameter learning in state-space models with intractable state transition and observation processes. By exploiting low-rank tensor train (TT) decompositions, we propose new sequential learning methods for…

Numerical Analysis · Mathematics 2024-07-04 Yiran Zhao , Tiangang Cui

Quantum neural networks have emerged as promising quantum machine learning models, leveraging the properties of quantum systems and classical optimization to solve complex problems in physics and beyond. However, previous studies have…

Quantum Physics · Physics 2025-06-17 Mingrui Jing , Erdong Huang , Xiao Shi , Shengyu Zhang , Xin Wang

Variational quantum algorithms stand at the forefront of simulations on near-term and future fault-tolerant quantum devices. While most variational quantum algorithms involve only continuous optimization variables, the representational…

Quantum Physics · Physics 2022-11-03 Jiahao Yao , Haoya Li , Marin Bukov , Lin Lin , Lexing Ying

Exploring an efficient and scalable architecture of fault-tolerant quantum computing (FTQC) is vital for demonstrating useful quantum computing. Here, we propose and evaluate a scalable and practical architecture with a…

Quantum Physics · Physics 2025-04-29 Rui Asaoka , Yasunari Suzuki , Yuuki Tokunaga

The scalability of quantum computing in supporting sophisticated algorithms critically depends not only on qubit quality and error handling, but also on the efficiency of classical control, constrained by the cryogenic control bandwidth and…

Quantum Physics · Physics 2026-03-24 Sibasish Mishra , Aritra Sarkar , Sebastian Feld

Continual learning with neural networks is an important learning framework in AI that aims to learn a sequence of tasks well. However, it is often confronted with three challenges: (1) overcome the catastrophic forgetting problem, (2) adapt…

Machine Learning · Computer Science 2020-06-11 Qiang Gao , Zhipeng Luo , Diego Klabjan

The limited number of qubits per chip remains a critical bottleneck in quantum computing, motivating the use of distributed architectures that interconnect multiple quantum processing units (QPUs). However, executing quantum algorithms…

Quantum Physics · Physics 2026-01-21 Brayden Goldstein-Gelb , Kun Liu , John M. Martyn , Hengyun , Zhou , Yongshan Ding , Yuan Liu

A variational framework for structural topology optimization is developed, integrating quantum and classical latent encoding strategies within a coordinate-based neural decoding architecture. In this approach, a low-dimensional latent…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Alireza Tabarraei