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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

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

Variational quantum algorithms (VQAs) have enabled a wide range of applications on near-term quantum devices. However, their scalability is fundamentally limited by barren plateaus, where the probability of encountering large gradients…

Quantum Physics · Physics 2025-07-22 Elias Zapusek , Ivan Rojkov , Florentin Reiter

In variational quantum algorithms the parameters of a parameterized quantum circuit are optimized in order to minimize a cost function that encodes the solution of the problem. The barren plateau phenomenon manifests as an exponentially…

Quantum Physics · Physics 2024-11-14 Marco Schumann , Frank K. Wilhelm , Alessandro Ciani

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

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

Barren plateaus (BP), characterized by exponentially vanishing gradients that hinder the training of variational quantum circuits (VQC), present a pervasive and critical challenge in applying variational quantum algorithms to real-world…

Quantum Physics · Physics 2025-01-24 Yipei Liu , Yuhong Song , Jinyang Li , Qiang Guan , Cheng-chang Lu , Youzuo Lin , Weiwen Jiang

When error correction becomes possible it will be necessary to dedicate a large number of physical qubits to each logical qubit. Error correction allows for deeper circuits to be run, but each additional physical qubit can potentially…

The variational quantum algorithm (VQA) with a parametrized quantum circuit is widely applicable to near-term quantum computing, but its fundamental issues that limit optimization performance have been reported in the literature. For…

Variational quantum computing offers a flexible computational paradigm with applications in diverse areas. However, a key obstacle to realizing their potential is the Barren Plateau (BP) phenomenon. When a model exhibits a BP, its parameter…

The barren plateau phenomenon is one of the main obstacles to implementing variational quantum algorithms in the current generation of quantum processors. Here, we introduce a method capable of avoiding the barren plateau phenomenon in the…

This paper presents an easy-to-implement approach to mitigate the challenges posed by barren plateaus (BPs) in randomly initialized parameterized quantum circuits (PQCs) within variational quantum algorithms (VQAs). Recent state-of-the-art…

Quantum Physics · Physics 2024-12-10 Muhammad Kashif , Muhammad Shafique

This paper explores the complexities associated with training Quantum Neural Networks (QNNs) under noisy conditions, a critical consideration for Noisy Intermediate-Scale Quantum (NISQ) devices. We first demonstrate that Barren Plateaus…

Quantum Physics · Physics 2025-02-26 Muhammad Kashif , Muhammad Shafique

One of the most important properties of classical neural networks is how surprisingly trainable they are, though their training algorithms typically rely on optimizing complicated, nonconvex loss functions. Previous results have shown that…

Quantum Physics · Physics 2022-12-16 Eric R. Anschuetz , Bobak T. Kiani

Variational Quantum Algorithms (VQAs) have emerged as pivotal strategies for attaining quantum advantage in diverse scientific and technological domains, notably within Quantum Neural Networks. However, despite their potential, VQAs…

Quantum Physics · Physics 2025-04-22 Lucas Friedrich , Tiago de Souza Farias , Jonas Maziero

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

Variational quantum computing offers a powerful framework with applications across diverse fields such as quantum chemistry, machine learning, and optimization. However, its scalability is hindered by the exponential concentration of the…

Quantum Physics · Physics 2025-05-05 Giulio Crognaletti , Michele Grossi , Angelo Bassi

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) combine the advantages of classical optimization and quantum computation, making them one of the most promising approaches in the Noisy Intermediate-Scale Quantum (NISQ) era. However, when optimized…

Quantum Physics · Physics 2025-11-20 Zhehao Yi , Rahul Bhadani

A large ongoing research effort focuses on Variational Quantum Algorithms (VQAs), representing leading candidates to achieve computational speed-ups on current quantum devices. The scalability of VQAs to a large number of qubits, beyond the…

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