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A central aspect for operating future quantum computers is quantum circuit optimization, i.e., the search for efficient realizations of quantum algorithms given the device capabilities. In recent years, powerful approaches have been…

Quantum Physics · Physics 2021-03-16 Thomas Fösel , Murphy Yuezhen Niu , Florian Marquardt , Li Li

Recent developments in quantum computing and machine learning have propelled the interdisciplinary study of quantum machine learning. Sequential modeling is an important task with high scientific and commercial value. Existing VQC or…

Neural and Evolutionary Computing · Computer Science 2022-11-07 Samuel Yen-Chi Chen , Daniel Fry , Amol Deshmukh , Vladimir Rastunkov , Charlee Stefanski

The performance of quantum neural network models depends strongly on architectural decisions, including circuit depth, placement of parametrized operations, and data-encoding strategies. Selecting an effective architecture is challenging…

We present hierarchical learning, a novel variational architecture for efficient training of large-scale variational quantum circuits. We test and benchmark our technique for distribution loading with quantum circuit born machines (QCBMs).…

Quantum Physics · Physics 2023-11-23 Hrant Gharibyan , Vincent Su , Hayk Tepanyan

Q-learning is a regression-based approach that is widely used to formalize the development of an optimal dynamic treatment strategy. Finite dimensional working models are typically used to estimate certain nuisance parameters, and…

Methodology · Statistics 2020-03-30 Ashkan Ertefaie , James R. McKay , David Oslin , Robert L. Strawderman

Combining classical optimization with parameterized quantum circuit evaluation, variational quantum algorithms (VQAs) are among the most promising algorithms in near-term quantum computing. Similar to neural networks (NNs), VQAs iteratively…

Quantum Physics · Physics 2025-11-18 Zhehao Yi , Yanying Liang , Haozhen Situ

In this work, our prime objective is to study the phenomena of quantum chaos and complexity in the machine learning dynamics of Quantum Neural Network (QNN). A Parameterized Quantum Circuits (PQCs) in the hybrid quantum-classical framework…

High Energy Physics - Theory · Physics 2021-04-16 Sayantan Choudhury , Ankan Dutta , Debisree Ray

Hybrid quantum neural networks are increasingly explored for classification, yet it remains unclear how their performance and quantum behavior scale with circuit depth and qubit count. We present a controlled scaling study of hybrid…

Quantum Physics · Physics 2026-04-08 Danil Vyskubov , Kirill Vyskubov , Nouhaila Innan , Muhammad Shafique

Quantum Machine Learning algorithms based on Variational Quantum Circuits (VQCs) are important candidates for useful application of quantum computing. It is known that a VQC is a linear model in a feature space determined by its…

Quantum Physics · Physics 2025-07-09 Slimane Thabet , Léo Monbroussou , Eliott Z. Mamon , Jonas Landman

The design of parametric quantum circuits (PQCs) for efficient use in variational quantum simulations (VQS) is subject to two competing factors. On one hand, the set of states that can be generated by the PQC has to be large enough to…

Quantum Physics · Physics 2026-03-13 Lena Funcke , Tobias Hartung , Karl Jansen , Stefan Kühn , Manuel Schneider , Paolo Stornati

In machine learning, overparameterization is associated with qualitative changes in the empirical risk landscape, which can lead to more efficient training dynamics. For many parameterized models used in statistical learning, there exists a…

Quantum Physics · Physics 2023-07-11 Andrea Delgado , Francisco Rios , Kathleen E. Hamilton

We propose several approaches for solving differential equations (DEs) with quantum kernel methods. We compose quantum models as weighted sums of kernel functions, where variables are encoded using feature maps and model derivatives are…

Quantum Physics · Physics 2023-04-12 Annie E. Paine , Vincent E. Elfving , Oleksandr Kyriienko

Variational Quantum Circuits (VQC) lie at the forefront of quantum machine learning research. Still, the use of quantum networks for real data processing remains challenging as the number of available qubits cannot accommodate a large…

Quantum Physics · Physics 2024-09-06 G. Maragkopoulos , A. Mandilara , A. Tsili , D. Syvridis

Optimizing the architecture of variational quantum circuits (VQCs) is crucial for advancing quantum computing (QC) towards practical applications. Current methods range from static ansatz design and evolutionary methods to machine learned…

Quantum computing promises advantages over classical computing. The manufacturing of quantum hardware is in the infancy stage, called the Noisy Intermediate-Scale Quantum (NISQ) era. A major challenge is automated quantum circuit design…

Quantum machine learning models use encoding circuits to map data into a quantum Hilbert space. While it is well known that the architecture of these circuits significantly influences core properties of the resulting model, they are often…

Quantum Physics · Physics 2025-03-03 Frederic Rapp , David A. Kreplin , Marco F. Huber , Marco Roth

Machine learning models and their applications, such as autonomous driving systems, are becoming increasingly common and are essential components of human daily life. However, due to their sensitivity to perturbed noise, these models are…

Quantum Physics · Physics 2026-04-13 Ban Q. Tran , Chuong K. Luong , Viet Q. Nguyen , Duong M. Chu , Susan Mengel

A dynamic treatment regime effectively incorporates both accrued information and long-term effects of treatment from specially designed clinical trials. As these become more and more popular in conjunction with longitudinal data from…

Methodology · Statistics 2011-08-29 Rui Song , Weiwei Wang , Donglin Zeng , Michael R. Kosorok

We consider the tasks of learning quantum states, measurements and channels generated by continuous-variable (CV) quantum circuits. This family of circuits is suited to describe optical quantum technologies and in particular it includes…

Quantum Physics · Physics 2024-08-14 Matteo Rosati

Machine learning algorithms based on parametrized quantum circuits are prime candidates for near-term applications on noisy quantum computers. In this direction, various types of quantum machine learning models have been introduced and…

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