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Quantum Boltzmann machines (QBMs) are machine-learning models for both classical and quantum data. We give an operational definition of QBM learning in terms of the difference in expectation values between the model and target, taking into…

Quantum Physics · Physics 2025-02-13 Luuk Coopmans , Marcello Benedetti

Quantum computers offer the potential for efficiently sampling from complex probability distributions, attracting increasing interest in generative modeling within quantum machine learning. This surge in interest has driven the development…

Quantum Physics · Physics 2025-11-19 Maria Demidik , Cenk Tüysüz , Nico Piatkowski , Michele Grossi , Karl Jansen

We introduce theoretically grounded Continuous Semi-Quantum Boltzmann Machines (CSQBMs) that supports continuous-action reinforcement learning. By combining exponential-family priors over visible units with quantum Boltzmann distributions…

Machine Learning · Computer Science 2025-11-10 Thore Gerlach , Michael Schenk , Verena Kain

Quantum neural networks (QNNs) are a framework for creating quantum algorithms that promises to combine the speedups of quantum computation with the widespread successes of machine learning. A major challenge in QNN development is a…

Quantum Physics · Physics 2021-06-18 Maria Kieferova , Ortiz Marrero Carlos , Nathan Wiebe

This study explores the implementation of large Quantum Restricted Boltzmann Machines (QRBMs), a key advancement in Quantum Machine Learning (QML), as generative models on D-Wave's Pegasus quantum hardware to address dataset imbalance in…

Emerging Technologies · Computer Science 2025-07-30 Salvatore Sinno , Markus Bertl , Arati Sahoo , Bhavika Bhalgamiya , Thomas Groß , Nicholas Chancellor

Inspired by the success of Boltzmann Machines based on classical Boltzmann distribution, we propose a new machine learning approach based on quantum Boltzmann distribution of a transverse-field Ising Hamiltonian. Due to the non-commutative…

Quantum Physics · Physics 2018-05-30 Mohammad H. Amin , Evgeny Andriyash , Jason Rolfe , Bohdan Kulchytskyy , Roger Melko

Energy-based models (EBMs) are flexible generative architectures inspired by statistical physics, but their learning and generative properties remain poorly understood. Here, we analyze a solvable EBM in the high-dimensional limit: the…

Machine Learning · Computer Science 2026-05-12 Thomas Tulinski , Simona Cocco , Rémi Monasson , Jorge Fernandez-De-Cossio-Diaz

Quantum machine learning (QML) leverages quantum states for data encoding, with key approaches being explicit models that use parameterized quantum circuits and implicit models that use quantum kernels. Implicit models often have lower…

Quantum Physics · Physics 2025-12-08 Akimoto Nakayama , Hayata Morisaki , Kosuke Mitarai , Hiroshi Ueda , Keisuke Fujii

The quantum Boltzmann machine (QBM) is a generative machine learning model for both classical data and quantum states. Training the QBM consists of minimizing the relative entropy from the model to the target state. This requires QBM…

Quantum Physics · Physics 2024-05-24 Onno Huijgen , Luuk Coopmans , Peyman Najafi , Marcello Benedetti , Hilbert J. Kappen

We propose a novel quantum model for the restricted Boltzmann machine (RBM), in which the visible units remain classical whereas the hidden units are quantized as noninteracting fermions. The free motion of the fermions is parametrically…

Disordered Systems and Neural Networks · Physics 2021-02-15 Ya. S. Lyakhova , E. A. Polyakov , A. N. Rubtsov

Recent work has proposed and explored using coreset techniques for quantum algorithms that operate on classical data sets to accelerate the applicability of these algorithms on near-term quantum devices. We apply these ideas to Quantum…

Quantum Physics · Physics 2023-07-28 Joshua Viszlai , Teague Tomesh , Pranav Gokhale , Eric Anschuetz , Frederic T. Chong

Quantum machine learning algorithms, the extensions of machine learning to quantum regimes, are believed to be more powerful as they leverage the power of quantum properties. Quantum machine learning methods have been employed to solve…

Computational Physics · Physics 2021-06-01 Shree Hari Sureshbabu , Manas Sajjan , Sangchul Oh , Sabre Kais

Exploiting the power of quantum computation to realise superior machine learning algorithmshas been a major research focus of recent years, but the prospects of quantum machine learning (QML) remain dampened by considerable technical…

Quantum Physics · Physics 2024-08-02 Maxwell T. West , Jamie Heredge , Martin Sevior , Muhammad Usman

Considering recent advancements and successes in the development of efficient quantum algorithms for electronic structure calculations --- alongside impressive results using machine learning techniques for computation --- hybridizing…

Quantum Physics · Physics 2018-10-24 Rongxin Xia , Sabre Kais

Quantum generative models exploit quantum superposition and entanglement to enhance learning efficiency for both classical and quantum data. Recently, inspired by classical diffusion frameworks, the quantum denoising diffusion probabilistic…

Machine Learning · Computer Science 2026-04-16 Haipeng Cao , Kaining Zhang , Dacheng Tao , Zhaofeng Su

Generative modeling with machine learning has provided a new perspective on the data-driven task of reconstructing quantum states from a set of qubit measurements. As increasingly large experimental quantum devices are built in…

Training quantum neural networks (QNNs) using gradient-based or gradient-free classical optimisation approaches is severely impacted by the presence of barren plateaus in the cost landscapes. In this paper, we devise a framework for…

Quantum Physics · Physics 2024-06-04 Yidong Liao , Min-Hsiu Hsieh , Chris Ferrie

The promise of quantum neural nets, which utilize quantum effects to model complex data sets, has made their development an aspirational goal for quantum machine learning and quantum computing in general. Here we provide new methods of…

Quantum Physics · Physics 2017-12-27 Maria Kieferova , Nathan Wiebe

Quantum neural networks (QNNs) leverage quantum entanglement and superposition to enable large-scale parallel linear computation, offering a potential solution to the scalability limits of classical deep learning. However, their practical…

Quantum Physics · Physics 2025-08-05 Pei-Kun Yang

Born-rule generative modeling, a central task in quantum machine learning, seeks to learn probability distributions that can be efficiently sampled by measuring complex quantum states. One hope is for quantum models to efficiently capture…

Quantum Physics · Physics 2025-12-03 Mark M. Wilde
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