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According to the statistical interpretation of quantum theory, quantum computers form a distinguished class of probabilistic machines (PMs) by encoding n qubits in 2n pbits (random binary variables). This raises the possibility of a…

Quantum Physics · Physics 2007-05-23 P. Gralewicz

In this work, we are introducing a Quantum-Classical Bayesian Neural Network (QCBNN) that is capable to perform uncertainty-aware classification of classical medical dataset. This model is a symbiosis of a classical Convolutional NN that…

Quantum Physics · Physics 2024-06-11 Alona Sakhnenko , Julian Sikora , Jeanette Miriam Lorenz

Quantum Neural Networks (QNNs) with random structures have poor trainability due to the exponentially vanishing gradient as the circuit depth and the qubit number increase. This result leads to a general belief that a deep QNN will not be…

Quantum Physics · Physics 2022-09-28 Kaining Zhang , Min-Hsiu Hsieh , Liu Liu , Dacheng Tao

Quantum neural networks (QNNs), as currently formulated, are near-term quantum machine learning architectures that leverage parameterized quantum circuits with the aim of improving upon the performance of their classical counterparts. In…

Quantum Physics · Physics 2026-03-11 Marco Maronese , Francesco Ferrari , Matteo Vandelli , Daniele Dragoni

Quantum neural networks (QNNs) have become an important tool for understanding the physical world, but their advantages and limitations are not fully understood. Some QNNs with specific encoding methods can be efficiently simulated by…

Quantum Physics · Physics 2023-10-31 Yuxuan Du , Yibo Yang , Dacheng Tao , Min-Hsiu Hsieh

Quantized neural networks (QNNs) are being actively researched as a solution for the computational complexity and memory intensity of deep neural networks. This has sparked efforts to develop algorithms that support both inference and…

Emerging Technologies · Computer Science 2022-05-31 Tzofnat Greenberg Toledo , Ben Perach , Itay Hubara , Daniel Soudry , Shahar Kvatinsky

Recent theoretical results in quantum machine learning have demonstrated a general trade-off between the expressive power of quantum neural networks (QNNs) and their trainability; as a corollary of these results, practical exponential…

Quantum Physics · Physics 2026-01-21 Eric R. Anschuetz , Xun Gao

Variational quantum circuits are increasingly studied as continuous-function approximators, but quantum regression remains difficult to train when global losses, finite-shot stochasticity, and circuit-depth growth combine to produce weak or…

Machine Learning · Computer Science 2026-05-14 Qingyu Meng , Yangshuai Wang

Barren plateaus, which means the training gradients become extremely small, pose a major challenge in optimizing parameterized quantum circuits, often making the learning process impractically slow or stall. This work shows why using neural…

Quantum Physics · Physics 2025-12-03 Zhehao Yi , Rahul Bhadani

Quantum classifiers are trainable quantum circuits used as machine learning models. The first part of the circuit implements a quantum feature map that encodes classical inputs into quantum states, embedding the data in a high-dimensional…

Quantum Physics · Physics 2022-07-03 Seth Lloyd , Maria Schuld , Aroosa Ijaz , Josh Izaac , Nathan Killoran

Quantum machine learning, focusing on quantum neural networks (QNNs), remains a vastly uncharted field of study. Current QNN models primarily employ variational circuits on an ansatz or a quantum feature map, often requiring multiple…

Quantum Physics · Physics 2024-02-02 Utkarsh Singh , Aaron Z. Goldberg , Khabat Heshami

Instantaneous quantum polynomial quantum circuit Born machines (IQP-QCBMs) have been proposed as quantum generative models with a classically tractable training objective based on the maximum mean discrepancy (MMD) and a potential quantum…

Quantum Physics · Physics 2026-02-16 Kevin Shen , Susanne Pielawa , Vedran Dunjko , Hao Wang

Classical machine learning often struggles with complex, high-dimensional data. Quantum machine learning offers a potential solution, promising more efficient processing. The quantum convolutional neural network (QCNN), a hybrid algorithm,…

Quantum Physics · Physics 2025-07-25 Hinako Asaoka , Kazue Kudo

Quantum Machine Learning is an emerging sub-field in machine learning where one of the goals is to perform pattern recognition tasks by encoding data into quantum states. This extension from classical to quantum domain has been made…

Quantum Physics · Physics 2023-04-18 Ankit Kulshrestha , Xiaoyuan Liu , Hayato Ushijima-Mwesigwa , Ilya Safro

As the rapidly evolving field of machine learning continues to produce incredibly useful tools and models, the potential for quantum computing to provide speed up for machine learning algorithms is becoming increasingly desirable. In…

Quantum Physics · Physics 2024-04-02 Anthony M. Smaldone , Gregory W. Kyro , Victor S. Batista

The matrix product state (MPS) belongs to the most important mathematical models in, for example, condensed matter physics and quantum information sciences. However, to realize an $N$-qubit MPS with large $N$ and large entanglement on a…

Quantum Physics · Physics 2020-03-11 Shi-Ju Ran

Mainstream machine-learning techniques such as deep learning and probabilistic programming rely heavily on sampling from generally intractable probability distributions. There is increasing interest in the potential advantages of using…

Quantum Physics · Physics 2018-01-29 Marcello Benedetti , John Realpe-Gómez , Rupak Biswas , Alejandro Perdomo-Ortiz

Quantum classifiers provide sophisticated embeddings of input data in Hilbert space promising quantum advantage. The advantage stems from quantum feature maps encoding the inputs into quantum states with variational quantum circuits. A…

Quantum Physics · Physics 2021-09-07 Napat Thumwanit , Chayaphol Lortaraprasert , Hiroshi Yano , Rudy Raymond

In the present noisy intermediate scale quantum computing era, there is a critical need to devise methods for the efficient implementation of gate-based variational quantum circuits. This ensures that a range of proposed applications can be…

Quantum Physics · Physics 2024-08-27 Ankit Kulshrestha , Xiaoyuan Liu , Hayato Ushijima-Mwesigwa , Bao Bach , Ilya Safro

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
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