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Barren plateaus are a notorious problem in the optimization of variational quantum algorithms and pose a critical obstacle in the quest for more efficient quantum machine learning algorithms. Many potential reasons for barren plateaus have…

Quantum Physics · Physics 2022-05-02 Ankit Kulshrestha , Ilya Safro

Variational quantum algorithms (VQAs) are widely applied in the noisy intermediate-scale quantum era and are expected to demonstrate quantum advantage. However, training VQAs faces difficulties, one of which is the so-called barren plateaus…

Quantum Physics · Physics 2023-02-07 Huan-Yu Liu , Tai-Ping Sun , Yu-Chun Wu , Yong-Jian Han , Guo-Ping Guo

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

Quantum circuit initialisation is a key bottleneck in variational quantum algorithms (VQAs), strongly impacting optimisation stability and convergence. Recent work shows that large language models (LLMs) can synthesise high-quality…

Emerging Technologies · Computer Science 2026-03-26 Ngoc Nhi Nguyen , Thai T Vu , John Le , Hoa Khanh Dam , Dung Hoang Duong , Dinh Thai Hoang

Quantum neural networks (QNNs) have generated excitement around the possibility of efficiently analyzing quantum data. But this excitement has been tempered by the existence of exponentially vanishing gradients, known as barren plateau…

Quantum Physics · Physics 2021-11-02 Arthur Pesah , M. Cerezo , Samson Wang , Tyler Volkoff , Andrew T. Sornborger , Patrick J. Coles

While Quantum Convolutional Neural Networks (QCNNs) offer a theoretical paradigm for quantum machine learning, their practical implementation is severely bottlenecked by barren plateaus -- the exponential vanishing of gradients -- and poor…

Machine Learning · Computer Science 2026-03-13 Radhakrishnan Delhibabu

Variational quantum algorithms is one of the most representative algorithms in quantum computing, which has a wide range of applications in quantum machine learning, quantum simulation and other related fields. However, they face challenges…

Quantum Physics · Physics 2024-02-22 Xiao Shi , Yun Shang

Parameterized quantum circuits (PQCs) have emerged as a foundational element in the development and applications of quantum algorithms. However, when initialized with random parameter values, PQCs often exhibit barren plateaus (BP). These…

Quantum Physics · Physics 2025-07-02 Muhammad Kashif , Muhammad Rashid , Saif Al-Kuwari , Muhammad Shafique

Innovations in neural architectures have fostered significant breakthroughs in language modeling and computer vision. Unfortunately, novel architectures often result in challenging hyper-parameter choices and training instability if the…

Machine Learning · Computer Science 2021-11-25 Chen Zhu , Renkun Ni , Zheng Xu , Kezhi Kong , W. Ronny Huang , Tom Goldstein

Variational Quantum Algorithms (VQAs) are becoming the primary computational primitive for next-generation quantum computers, particularly those embedded as resource-constrained accelerators in the emerging Quantum Internet of Things…

Quantum Physics · Physics 2025-12-05 Ratun Rahman , Dinh C. Nguyen

Variational Quantum Algorithms (VQAs) may be a path to quantum advantage on Noisy Intermediate-Scale Quantum (NISQ) computers. A natural question is whether noise on NISQ devices places fundamental limitations on VQA performance. We…

Quantum Physics · Physics 2024-03-05 Samson Wang , Enrico Fontana , M. Cerezo , Kunal Sharma , Akira Sone , Lukasz Cincio , Patrick J. Coles

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

Variational quantum algorithms are promising candidates for near-term quantum computing but can be hindered by barren plateaus, where gradients vanish exponentially and optimization becomes intractable. Noise-Induced Barren Plateaus (NIBP)…

Quantum Physics · Physics 2026-03-10 Sebastian Schmitt , Linus Ekstrøm , Alberto Bottarelli , Xavier Bonet-Monroig

Training deep quantum neural networks (QNNs) for image classification is notoriously difficult due to vanishing gradients (barren plateaus) and limited nonlinearity in purely unitary circuits. We propose a novel gradient-free…

Quantum Physics · Physics 2025-05-09 Yichen Xie

Variational quantum algorithms (VQAs) are among the most promising algorithms in the era of Noisy Intermediate Scale Quantum Devices. Such algorithms are constructed using a parameterization U($\pmb{\theta}$) with a classical optimizer that…

Quantum Physics · Physics 2022-10-21 Lucas Friedrich , Jonas Maziero

Large-scale deep neural networks (DNNs) have achieved remarkable success in many application scenarios. However, high computational complexity and energy costs of modern DNNs make their deployment on edge devices challenging. Model…

Machine Learning · Computer Science 2024-04-29 Cédric Gernigon , Silviu-Ioan Filip , Olivier Sentieys , Clément Coggiola , Mickael Bruno

Barren Plateaus are a formidable challenge for hybrid quantum-classical algorithms that lead to flat plateaus in the loss function landscape making it difficult to take advantage of the expressive power of parameterized quantum circuits…

Quantum Physics · Physics 2024-06-21 Michelle Gelman

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

Parametrized quantum circuits initialized with random initial parameter values are characterized by barren plateaus where the gradient becomes exponentially small in the number of qubits. In this technical note we theoretically motivate and…

Quantum Physics · Physics 2019-12-11 Edward Grant , Leonard Wossnig , Mateusz Ostaszewski , Marcello Benedetti

In recent years, variational quantum circuits (VQCs) have been widely explored to advance quantum circuits against classic models on various domains, such as quantum chemistry and quantum machine learning. Similar to classic…

Quantum Physics · Physics 2025-02-11 Jack Cunningham , Jun Zhuang
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