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Quantum computation, a completely different paradigm of computing, benefits from theoretically proven speed-ups for certain problems and opens up the possibility of exactly studying the properties of quantum systems. Yet, because of the…

Fabrication process variations are a major source of yield degradation in the nano-scale design of integrated circuits (IC), microelectromechanical systems (MEMS) and photonic circuits. Stochastic spectral methods are a promising technique…

计算工程、金融与科学 · 计算机科学 2016-11-08 Zheng Zhang , Tsui-Wei Weng , Luca Daniel

In quantum information processing quantum operations are often processed alongside measurements which result in classical data. Due to the information gain of classical measurement outputs non-unitary dynamical processes can take place on…

Even with the recent rapid developments in quantum hardware, noise remains the biggest challenge for the practical applications of any near-term quantum devices. Full quantum error correction cannot be implemented in these devices due to…

量子物理 · 物理学 2021-09-22 Zhenyu Cai

Science and engineering problems subject to uncertainty are frequently both computationally expensive and feature nonsmooth parameter dependence, making standard Monte Carlo too slow, and excluding efficient use of accelerated uncertainty…

数值分析 · 数学 2021-10-01 Per Pettersson , Sebastian Krumscheid

Contemporary quantum computers have relatively high levels of noise, making it difficult to use them to perform useful calculations, even with a large number of qubits. Quantum error correction is expected to eventually enable…

This paper presents a novel Bayesian strategy for the estimation of smooth signals corrupted by Gaussian noise. The method assumes a smooth evolution of a succession of continuous signals that can have a numerical or an analytical…

应用统计 · 统计学 2016-02-12 Abderrahim Halimi , Gerald S. Buller , Steve McLaughlin , Paul Honeine

Quantum advantage requires overcoming noise-induced degradation of quantum systems. Conventional methods for reducing noise such as error mitigation face scalability issues in deep circuits. Specifically, noise hampers the extraction of…

量子物理 · 物理学 2023-12-05 Yonglong Ding , Ruyu Yang

In high-dimensional and/or non-parametric regression problems, regularization (or penalization) is used to control model complexity and induce desired structure. Each penalty has a weight parameter that indicates how strongly the structure…

机器学习 · 统计学 2017-03-30 Jean Feng , Noah Simon

We propose a method to assist fault mitigation in quantum computation through the use of sensors co-located near physical qubits. Specifically, we consider using transition edge sensors co-located on silicon substrates hosting…

量子物理 · 物理学 2021-08-31 John L. Orrell , Ben Loer

Large quantum computers promise to solve some critical problems not solvable otherwise. However, modern quantum technologies suffer various imperfections such as control errors and qubit decoherence, inhibiting their potential utility. The…

量子物理 · 物理学 2023-01-19 Andrii Maksymov , Jason Nguyen , Yunseong Nam , Igor Markov

Classical verification of quantum learning allows classical clients to reliably leverage quantum computing advantages by interacting with untrusted quantum servers. Yet, current quantum devices available in practice suffers from a variety…

量子物理 · 物理学 2024-11-15 Yinghao Ma , Jiaxi Su , Dong-Ling Deng

We introduce a technique for the suppression of state-dependent and correlated measurement errors, which are commonly observed on modern superconducting quantum devices. Our method leverages previous results, establishing that correlated…

量子物理 · 物理学 2022-12-22 Alan Robertson , Shuaiwen Leon Song

Regularization for optimization is a crucial technique to avoid overfitting in machine learning. In order to obtain the best performance, we usually train a model by tuning the regularization parameters. It becomes costly, however, when a…

机器学习 · 计算机科学 2020-08-18 Jingfeng Wu , Vladimir Braverman , Lin F. Yang

Quantum computers are poised to radically outperform their classical counterparts by manipulating coherent quantum systems. A realistic quantum computer will experience errors due to the environment and imperfect control. When these errors…

量子物理 · 物理学 2016-11-21 Joel J. Wallman , Joseph Emerson

We analyze convergence rates of stochastic optimization procedures for non-smooth convex optimization problems. By combining randomized smoothing techniques with accelerated gradient methods, we obtain convergence rates of stochastic…

最优化与控制 · 数学 2012-04-10 John C. Duchi , Peter L. Bartlett , Martin J. Wainwright

Quantum state tomography often operates in the highly idealised scenario of assuming perfect measurements. The errors implied by such an approach are entwined with other imperfections relating to the information processing protocol or…

量子物理 · 物理学 2020-09-04 Dale Scerri , Erik M. Gauger , George C. Knee

An algorithm is proposed, analyzed, and tested for minimizing locally Lipschitz objective functions that may be nonconvex and/or nonsmooth. The algorithm, which is built upon the gradient-sampling methodology, is designed specifically for…

最优化与控制 · 数学 2026-04-02 Albert S. Berahas , Frank E. Curtis , Lara Zebiane

Randomized experiments are the gold standard for evaluating the effects of changes to real-world systems. Data in these tests may be difficult to collect and outcomes may have high variance, resulting in potentially large measurement error.…

机器学习 · 统计学 2018-06-27 Benjamin Letham , Brian Karrer , Guilherme Ottoni , Eytan Bakshy

We propose a new gradient-based method for the extraction of the orientation field associated to a fingerprint, and a regularisation procedure to improve the orientation field computed from noisy fingerprint images. The regularisation…

计算机视觉与模式识别 · 计算机科学 2017-11-10 Pierluigi Maponi , Riccardo Piergallini , Filippo Santarelli