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As quantum machine learning continues to develop at a rapid pace, the importance of ensuring the robustness and efficiency of quantum algorithms cannot be overstated. Our research presents an analysis of quantum randomized smoothing, how…

量子物理 · 物理学 2024-07-26 Nicola Franco , Marie Kempkes , Jakob Spiegelberg , Jeanette Miriam Lorenz

In the theory of quantum dynamical filtering, one of the biggest issues is that the underlying system dynamics represented by a quantum stochastic differential equation must be known exactly in order that the corresponding filter provides…

量子物理 · 物理学 2011-11-09 Naoki Yamamoto

Mitigating noise-induced decoherence is the central challenge in controlling open quantum systems. While existing robust protocols often require precise noise models, we introduce a universal framework for noise-agnostic quantum control…

量子物理 · 物理学 2026-03-18 Lixiang Ding , Jingtao Fan , Xingze Qiu

Nearly all modern solid-state quantum processors approach quantum computation with a set of discrete qubit operations (gates) that can achieve universal quantum control with only a handful of primitive gates. In principle, this approach is…

A major obstacle in the way of practical quantum computing is achieving scalable and robust high-fidelity entangling gates. To this end, quantum control has become an essential tool, as it can make the entangling interaction resilient to…

We present a quantum circuit optimization technique that takes into account the variability in error rates that is inherent across present day noisy quantum computing platforms. This method can be run post qubit routing or post-compilation,…

量子物理 · 物理学 2023-03-22 Paul D. Nation , Matthew Treinish

This paper proposes a new robust control method for quantum systems with uncertainties involving sliding mode control (SMC). Sliding mode control is a widely used approach in classical control theory and industrial applications. We show…

量子物理 · 物理学 2009-11-03 Daoyi Dong , Ian R. Petersen

The \emph{deterministic} sparse grid method, also known as Smolyak's method, is a well-established and widely used tool to tackle multivariate approximation problems, and there is a vast literature on it. Much less is known about…

数值分析 · 数学 2022-02-11 Marcin Wnuk , Michael Gnewuch

In stochastic simulation, input uncertainty refers to the propagation of the statistical noise in calibrating input models to impact output accuracy, in addition to the Monte Carlo simulation noise. The vast majority of the input…

统计方法学 · 统计学 2024-03-18 Motong Chen , Henry Lam , Zhenyuan Liu

As quantum circuits become more integrated and complex, additional error sources that were previously insignificant start to emerge. Consequently, the fidelity of quantum gates benchmarked under pristine conditions falls short of predicting…

Quantum hypothesis testing plays a pivotal role in quantum technologies, making decisions or drawing conclusions about quantum systems based on observed data. Recently, quantum control techniques have been successfully applied to quantum…

量子物理 · 物理学 2025-10-16 Han Xu , Benran Wang , Haidong Yuan , Xin Wang

Sensitivity to noise makes most of the current quantum computing schemes prone to error and nonscalable, allowing only for small proof-of-principle devices. Topologically-protected quantum computing aims at solving this problem by encoding…

无序系统与神经网络 · 物理学 2013-12-17 Helmut G. Katzgraber , Ruben S. Andrist

Quantum computers will require encoding of quantum information to protect them from noise. Fault-tolerant quantum computing architectures illustrate how this might be done but have not yet shown a conclusive practical advantage. Here we…

量子物理 · 物理学 2019-03-01 Robin Harper , Steven T. Flammia

Realistic fault-tolerant quantum computing at reasonable overhead requires two-qubit gates with the highest possible fidelity. Typically, an infidelity of $\lesssim 10^{-4}$ is recommended in the literature. Focusing on the phase-sensitive…

量子物理 · 物理学 2023-11-28 Reinhold Blümel , Andrii Maksymov , Ming Li

We develop an optimal control algorithm for robust quantum gate preparation in open environments with the state of the quantum system represented using the Lindblad master equation. The algorithm is based on adaptive linearization and…

最优化与控制 · 数学 2025-03-17 Luke S. Baker , Syed A. Shah , Anatoly Zlotnik , Andrei Piryatinski

Efficient optimization of quantum systems is a necessity for reaching fault tolerant thresholds. A standard tool for optimizing simulated quantum dynamics is the gradient-based \textsc{grape} algorithm, which has been successfully applied…

量子物理 · 物理学 2020-10-28 Mogens Dalgaard , Felix Motzoi , Jesper Hasseriis Mohr Jensen , Jacob Sherson

Scalable quantum computation in realistic devices requires that precise control can be implemented efficiently in the presence of decoherence and operational errors. We propose a general constructive procedure for designing robust unitary…

量子物理 · 物理学 2009-04-21 Kaveh Khodjasteh , Lorenza Viola

Although input-gradients techniques have evolved to mitigate and tackle the challenges associated with gradients, modern gradient-weighted CAM approaches still rely on vanilla gradients, which are inherently susceptible to the saturation…

机器学习 · 计算机科学 2024-06-27 Vincenzo Buono , Peyman Sheikholharam Mashhadi , Mahmoud Rahat , Prayag Tiwari , Stefan Byttner

Quantum simulation, the simulation of quantum processes on quantum computers, suggests a path forward for the efficient simulation of problems in condensed-matter physics, quantum chemistry, and materials science. While the majority of…

量子物理 · 物理学 2022-10-03 Paul K. Faehrmann , Mark Steudtner , Richard Kueng , Maria Kieferova , Jens Eisert

We apply the methodology of optimal control theory to the problem of implementing quantum gates in continuous variable systems with quadratic Hamiltonians. We demonstrate that it is possible to define a fidelity measure for continuous…

量子物理 · 物理学 2009-11-13 Rebing Wu , Raj Chakrabarti , Herschel Rabitz