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Quantum computing may speed up numerical problems involving large matrices that are demanding for classical computers, and active research on this possibility is ongoing. In this work, we propose quantum algorithms for the exact simulation…

Quantum Physics · Physics 2026-04-27 Tassa Thaksakronwong , Koichi Miyamoto

To analyze high-dimensional and complex data in the real world, deep generative models, such as variational autoencoder (VAE) embed data in a low-dimensional space (latent space) and learn a probabilistic model in the latent space. However,…

Machine Learning · Computer Science 2020-09-01 Keizo Kato , Jing Zhou , Tomotake Sasaki , Akira Nakagawa

Given the complex geometry of white matter streamlines, Autoencoders have been proposed as a dimension-reduction tool to simplify the analysis streamlines in a low-dimensional latent spaces. However, despite these recent successes, the…

Machine Learning · Statistics 2023-11-21 Andrew Lizarraga , Brandon Taraku , Edouardo Honig , Ying Nian Wu , Shantanu H. Joshi

The recent physical realisation of quantum computers with dozens to hundreds of noisy qubits has given birth to an intense search for useful applications of their unique capabilities. One area that has received particular attention is…

Quantum Physics · Physics 2023-09-15 Maxwell T. West , Martin Sevior , Muhammad Usman

Discrete latent bottlenecks in variational autoencoders (VAEs) offer high bit efficiency and can be modeled with autoregressive discrete distributions, enabling parameter-efficient multimodal search with transformers. However, discrete…

Machine Learning · Computer Science 2026-02-12 Michael Drolet , Firas Al-Hafez , Aditya Bhatt , Jan Peters , Oleg Arenz

Quantum machine learning methods often rely on fixed, hand-crafted quantum encodings that may not capture optimal features for downstream tasks. In this work, we study the power of quantum autoencoders in learning data-driven quantum…

Learning compact and interpretable representations of data is a critical challenge in scientific image analysis. Here, we introduce Affinity-VAE, a generative model that enables us to impose our scientific intuition about the similarity of…

Variational Auto-Encoders (VAEs) are capable of learning latent representations for high dimensional data. However, due to the i.i.d. assumption, VAEs only optimize the singleton variational distributions and fail to account for the…

Machine Learning · Computer Science 2020-04-20 Da Tang , Dawen Liang , Tony Jebara , Nicholas Ruozzi

We provide algorithms for efficiently addressing quantum memory in parallel. These imply that the standard circuit model can be simulated with low overhead by the more realistic model of a distributed quantum computer. As a result, the…

Quantum machine learning has the potential to provide powerful algorithms for artificial intelligence. The pursuit of quantum advantage in quantum machine learning is an active area of research. For current noisy, intermediate-scale quantum…

Quantum Physics · Physics 2023-05-11 Rui Yang , Samuel Bosch , Bobak Kiani , Seth Lloyd , Adrian Lupascu

Gradient descent is a fundamental algorithm in both theory and practice for continuous optimization. Identifying its quantum counterpart would be appealing to both theoretical and practical quantum applications. A conventional approach to…

Quantum Physics · Physics 2023-03-03 Jiaqi Leng , Ethan Hickman , Joseph Li , Xiaodi Wu

Quantum mechanics has introduced a new theoretical framework for the study of molecules, enabling the prediction of properties and dynamics through the solution of the Schr\"odinger equation applied to these systems. However, solving this…

We propose a quantum implicit neural representation (QINR)-based autoencoder (AE) and variational autoencoder (VAE) for image reconstruction and generation tasks. Our purpose is to demonstrate that the QINR in VAEs and AEs can transform…

Machine Learning · Computer Science 2026-03-17 Saadet Müzehher Eren

Variational quantum algorithms (VQAs) have been successfully applied to quantum approximate optimization algorithms, variational quantum compiling and quantum machine learning models. The performances of VQAs largely depend on the…

Quantum Physics · Physics 2022-09-14 Zhimin He , Chuangtao Chen , Lvzhou Li , Shenggen Zheng , Haozhen Situ

Quantum Machine Learning investigates the possibility of quantum computers enhancing Machine Learning algorithms. Anomaly segmentation is a fundamental task in various domains to identify irregularities at sample level and can be addressed…

Quantum Physics · Physics 2025-01-31 Maria Francisca Madeira , Alessandro Poggiali , Jeanette Miriam Lorenz

Quantum machine learning algorithms aim to take advantage of quantum computing to improve classical machine learning algorithms. In this paper, we have applied a quantum machine learning algorithm, the variational quantum classifier for the…

High Energy Physics - Lattice · Physics 2025-06-10 He-Xing Yin , Zhi-Yuan Hu , Huan-Huan Zeng , Jia-Bao Guan , Ji-ke Wang

In the Hamiltonian formulation, Quantum Field Theory calculations scale exponentially with spatial volume, making real-time simulations intractable on classical computers and motivating quantum computation approaches. In Hamiltonian…

High Energy Physics - Lattice · Physics 2025-11-03 Zong-Gang Mou , Bipasha Chakraborty

A variational autoencoder (VAE) derived from Tsallis statistics called q-VAE is proposed. In the proposed method, a standard VAE is employed to statistically extract latent space hidden in sampled data, and this latent space helps make…

Machine Learning · Computer Science 2021-08-27 Taisuke Kobayashi

Quantum computers have the potential to speed up certain computational tasks. A possibility this opens up within the field of machine learning is the use of quantum techniques that may be inefficient to simulate classically but could…

Quantum Physics · Physics 2025-05-19 Jamie Heredge , Charles Hill , Lloyd Hollenberg , Martin Sevior

Variational Autoencoders (VAEs) have gained significant popularity among researchers as a powerful tool for understanding unknown distributions based on limited samples. This popularity stems partly from their impressive performance and…

Machine Learning · Computer Science 2024-02-27 Saptarshi Chakraborty , Peter L. Bartlett
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