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As quantum computing hardware steadily increases in qubit count and quality, one important question is how to allocate these resources to mitigate the effects of hardware noise. In a transitional era between noisy small-scale and fully…

Even though measurement results obtained in the real world are generally both noisy and continuous, quantum measurement theory tends to emphasize the ideal limit of perfect precision and quantized measurement results. In this article, a…

Quantum Physics · Physics 2008-12-18 Holger F. Hofmann

Quantum machine learning is one of the most promising applications of quantum computing in the Noisy Intermediate-Scale Quantum(NISQ) era. Here we propose a quantum convolutional neural network(QCNN) inspired by convolutional neural…

Quantum Physics · Physics 2021-04-23 ShiJie Wei , YanHu Chen , ZengRong Zhou , GuiLu Long

Variational Quantum Algorithms (VQA) have emerged with a wide variety of applications. One question to ask is either they can efficiently be implemented and executed on existing architectures. Current hardware suffers from uncontrolled…

Quantum Physics · Physics 2023-10-26 Anne-Solène Bornens , Michel Nowak

The main challenge of quantum computing on its way to scalability is the erroneous behaviour of current devices. Understanding and predicting their impact on computations is essential to counteract these errors with methods such as quantum…

Quantum Physics · Physics 2023-06-16 Tom Weber , Kerstin Borras , Karl Jansen , Dirk Krücker , Matthias Riebisch

Toward quantum machine learning deployed on imperfect near-term intermediate-scale quantum (NISQ) processors, the entire physical implementation of should include as less as possible hand-designed modules with only a few ad-hoc parameters…

Quantum Physics · Physics 2021-01-04 Re-Bing Wu , Xi Cao , Pinchen Xie , Yu-xi Liu

Quantum kernel methods have been widely recognized as one of promising quantum machine learning algorithms that have potential to achieve quantum advantages. In this paper, we theoretically characterize the power of noisy quantum kernels…

Quantum Physics · Physics 2024-02-01 Yabo Wang , Bo Qi , Xin Wang , Tongliang Liu , Daoyi Dong

This article deals with the problem of the uncertainty in rule-based systems (RBS), but from the perspective of quantum computing (QC). In this work we first remember the characteristics of Quantum Rule-Based Systems (QRBS), a concept…

Artificial Intelligence · Computer Science 2021-01-14 Vicente Moret-Bonillo , Isaac Fernández-Varela , Diego Alvarez-Estevez

We consider the learnability of the quantum neural network (QNN) built on the variational hybrid quantum-classical scheme, which remains largely unknown due to the non-convex optimization landscape, the measurement error, and the…

Quantum Physics · Physics 2020-07-27 Yuxuan Du , Min-Hsiu Hsieh , Tongliang Liu , Shan You , Dacheng Tao

Quantum-enhanced measurements exploit quantum mechanical effects to provide ultra-precise estimates of physical variables for use in advanced technologies, such as frequency calibration of atomic clocks, gravitational waves detection, and…

Quantum Physics · Physics 2014-07-28 J. Calsamiglia , B. Gendra , R. Munoz-Tapia , E. Bagan

Quantum algorithms present a quadratically improved complexity over classical ones for certain sampling tasks. For instance, the Quantum Amplitude Estimation (QAE) algorithm promises to speedup the estimation of the mean of certain…

Quantum Physics · Physics 2026-03-13 Baptiste Claudon , Sergi Ramos-Calderer , Jean-Philip Piquemal

Understanding the emergence of objectivity from the quantum realm has been a long standing issue strongly related to the quantum to classical crossover. Quantum Darwinism provides an answer, interpreting objectivity as consensus between…

Quantum Machine Learning (QML) represents a promising frontier at the intersection of quantum computing and artificial intelligence, aiming to leverage quantum computational advantages to enhance data-driven tasks. This review explores the…

Machine Learning · Computer Science 2025-07-14 Samarth Kashyap , Rohit K Ramakrishnan , Kumari Jyoti , Apoorva D Patel

Hybrid Quantum Neural Networks (HQNNs) offer promising potential of quantum computing while retaining the flexibility of classical deep learning. However, the limitations of Noisy Intermediate-Scale Quantum (NISQ) devices introduce…

Quantum Physics · Physics 2025-05-07 Tasnim Ahmed , Alberto Marchisio , Muhammad Kashif , Muhammad Shafique

Quantum computers hold immense potential in the field of chemistry, ushering new frontiers to solve complex many body problems that are beyond the reach of classical computers. However, noise in the current quantum hardware limits their…

Quantum Physics · Physics 2024-03-20 Chayan Patra , Sonaldeep Halder , Rahul Maitra

Quantum noise is conventionally viewed as a fundamental obstacle in near-term quantum computing, motivating extensive error correction and mitigation strategies. We present numerical evidence that challenges this consensus. Through…

Quantum Physics · Physics 2026-01-21 Linghua Zhu , Yulong Dong , Ziyu Zhang , Xiaosong Li

Non-unitary protocols are already at the base of many hybrid quantum computing applications, especially in the noisy intermediate-scale quantum (NISQ) era where quantum errors typically affect the unitary evolution. However, while the…

Quantum Physics · Physics 2025-02-05 Giuseppe Clemente , Kevin Zambello

We consider an unknown multivariate function representing a system-such as a complex numerical simulator-taking both deterministic and uncertain inputs. Our objective is to estimate the set of deterministic inputs leading to outputs whose…

Machine Learning · Statistics 2024-12-09 Romain Ait Abdelmalek-Lomenech , Julien Bect , Vincent Chabridon , Emmanuel Vazquez

The advent of noisy intermediate-scale quantum (NISQ) devices offers crucial opportunities for the development of quantum algorithms. Here we evaluate the noise tolerance of two quantum neural network (QNN) architectures on IBM's NISQ…

Quantum Physics · Physics 2021-04-14 Kerstin Beer , Daniel List , Gabriel Müller , Tobias J. Osborne , Christian Struckmann

Quantum computers have rapidly improved in scale and fidelity, yet access to large systems remains limited for most researchers. This makes accurate and scalable noisy quantum simulation essential. While density matrix simulation provides…

Quantum Physics · Physics 2026-05-19 Siddharth Dangwal , Tina Oberoi , Ajay Sailopal , Dhirpal Shah , Frederic T. Chong
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