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Digital quantum computers promise exponential speedups in performing quantum time-evolution, providing an opportunity to simulate quantum dynamics of complex systems in physics and chemistry. However, the task of extracting desired quantum…

Quantum Physics · Physics 2025-03-10 Chong Hian Chee , Daniel Leykam , Adrian M. Mak , Kishor Bharti , Dimitris G. Angelakis

We consider whether trainable quantum unitaries can be used to discover quantum speed-ups for classical problems. Using methods recently developed for training quantum neural nets, we consider Simon's problem, for which there is a known…

Quantum Physics · Physics 2018-06-28 Kwok Ho Wan , Feiyang Liu , Oscar Dahlsten , M. S. Kim

We propose a sequential minimal optimization method for quantum-classical hybrid algorithms, which converges faster, is robust against statistical error, and is hyperparameter-free. Specifically, the optimization problem of the…

Quantum Physics · Physics 2020-11-04 Ken M. Nakanishi , Keisuke Fujii , Synge Todo

Quantum Neural Networks (QNNs), a prominent approach in Quantum Machine Learning (QML), are emerging as a powerful alternative to classical machine learning methods. Recent studies have focused on the applicability of QNNs to various tasks,…

Machine Learning · Computer Science 2025-07-01 Batuhan Hangun , Oguz Altun , Onder Eyecioglu

Deep learning is a modern approach to realize artificial intelligence. Many frameworks exist to implement the machine learning task; however, performance is limited by computing resources. Using a quantum computer to accelerate training is…

Quantum Physics · Physics 2019-01-29 Zhao-Yun Chen , Cheng Xue , Si-Ming Chen , Guo-Ping Guo

Combinatorial optimization problems have attracted much interest in the quantum computing community in the recent years as a potential testbed to showcase quantum advantage. In this paper, we show how to exploit multilevel carriers of…

Quantum Physics · Physics 2024-07-03 M. Garcia de Andoin , A. Bottarelli , S. Schmitt , I. Oregi , P. Hauke , M. Sanz

We introduce a hybrid model combining a quantum-inspired tensor network and a variational quantum circuit to perform supervised learning tasks. This architecture allows for the classical and quantum parts of the model to be trained…

Quantum Physics · Physics 2021-10-13 Samuel Yen-Chi Chen , Chih-Min Huang , Chia-Wei Hsing , Ying-Jer Kao

Circuit knitting offers a promising path to the scalable execution of large quantum circuits by breaking them into smaller sub-circuits whose output is recombined through classical postprocessing. However, current techniques face excessive…

Quantum Physics · Physics 2024-10-22 Nathaniel Tornow , Christian B. Mendl , Pramod Bhatotia

We devise new quantum algorithms that exponentially speeds up the training and prediction procedures of twin support vector machines (TSVM). To train TSVMs using quantum methods, we demonstrate how to prepare the desired input states…

Quantum Physics · Physics 2020-03-03 Zekun Ye , Lvzhou Li , Haozhen Situ , Yuyi Wang

First-order optimization methods, such as stochastic gradient descent (SGD) and its variants, are widely used in machine learning applications due to their simplicity and low per-iteration costs. However, they often require larger numbers…

Machine Learning · Computer Science 2020-02-05 Chih-Hao Fang , Sudhir B Kylasa , Fred Roosta , Michael W. Mahoney , Ananth Grama

We investigate quantum algorithms for classification, a fundamental problem in machine learning, with provable guarantees. Given $n$ $d$-dimensional data points, the state-of-the-art (and optimal) classical algorithm for training…

Quantum Physics · Physics 2019-05-28 Tongyang Li , Shouvanik Chakrabarti , Xiaodi Wu

Quantum circuits embed data in a Hilbert space whose dimensionality grows exponentially with the number of qubits, allowing even shallow parameterised quantum circuits (PQCs) to represent highly-correlated probability distributions that are…

Quantum Physics · Physics 2025-10-03 Jie Luo , Jeremy Kulcsar , Xueyin Chen , Giulio Giaconi , Georgios Korpas

Quantum machine learning is a rapidly growing field at the intersection of quantum technology and artificial intelligence. This review provides a two-fold overview of several key approaches that can offer advancements in both the…

Quantum Physics · Physics 2023-03-07 Alexey Melnikov , Mohammad Kordzanganeh , Alexander Alodjants , Ray-Kuang Lee

Image classification is a fundamental computer vision problem, and neural networks offer efficient solutions. With advancing quantum technology, quantum neural networks have gained attention. However, they work only for low-dimensional data…

Quantum Physics · Physics 2023-08-31 Mingrui Shi , Haozhen Situ , Cai Zhang

The use of implicit time-stepping schemes for the numerical approximation of solutions to stiff nonlinear time-evolution equations brings well-known advantages including, typically, better stability behaviour and corresponding support of…

Numerical Analysis · Mathematics 2025-02-14 Tianyu Jin , Georg Maierhofer , Katharina Schratz , Yang Xiang

We present an approach, which we term quantum-enhanced optimization, to accelerate classical optimization algorithms by leveraging quantum sampling. Our method uses quantum-generated samples as warm starts to classical heuristics for…

Quantum Physics · Physics 2025-08-25 Ieva Čepaitė , Niam Vaishnav , Leo Zhou , Ashley Montanaro

Breast cancer diagnosis through thermographic image analysis remains a critical challenge in medical AI, with classical deep learning approaches facing limitations in complex thermal pattern classification tasks. This paper presents a novel…

Accurate workload prediction and advanced resource reservation are indispensably crucial for managing dynamic cloud services. Traditional neural networks and deep learning models frequently encounter challenges with diverse,…

Machine Learning · Computer Science 2025-07-14 Jitendra Kumar , Deepika Saxena , Kishu Gupta , Satyam Kumar , Ashutosh Kumar Singh

With the advent of real-world quantum computing, the idea that parametrized quantum computations can be used as hypothesis families in a quantum-classical machine learning system is gaining increasing traction. Such hybrid systems have…

Quantum Physics · Physics 2021-12-10 Sofiene Jerbi , Casper Gyurik , Simon C. Marshall , Hans J. Briegel , Vedran Dunjko

Quantum machine learning consists in taking advantage of quantum computations to generate classical data. A potential application of quantum machine learning is to harness the power of quantum computers for generating classical data, a…