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This paper introduces the Parsimonious Dynamic Mode Decomposition (parsDMD), a novel algorithm designed to automatically select an optimally sparse subset of dynamic modes for both spatiotemporal and purely temporal data. By incorporating…

统计方法学 · 统计学 2024-12-02 Arpan Das , Pier Marzocca , Oleg Levinski

Although deep learning models owe their remarkable success to deep and complex architectures, this very complexity typically comes at the expense of real-time performance. To address this issue, a variety of model compression techniques…

机器学习 · 计算机科学 2025-05-13 Seongmin Kim , Kwanho Kim , Minseung Kim , Kanghyun Jo

Flux-tunable superconducting qubits rely on fast flux control pulses to implement two-qubit entangling quantum gates, a key building block for quantum algorithms. However, distortion effects introduced by non-ideal control electronics,…

Digital quantum simulation (DQS) of continuous-variable quantum systems in the position basis requires efficient implementation of diagonal unitaries approximating the time evolution operator generated by the potential energy function. In…

量子物理 · 物理学 2022-12-12 Tenzan Araki , James Stokes , Shravan Veerapaneni

Dynamical decoupling is a powerful technique to suppress errors in quantum systems originating from environmental couplings or from unwanted inter-particle interactions. However, it can also be used to selectively decouple specific…

量子物理 · 物理学 2014-02-19 Holger Frydrych , Gernot Alber , Pavel Bažant

Dictionary learning is an effective tool for pattern recognition and classification of time series data. Among various dictionary learning techniques, the dynamic time warping (DTW) is commonly used for dealing with temporal delays,…

机器学习 · 统计学 2023-07-03 Ruiyu Xu , Chao Wang , Yongxiang Li , Jianguo Wu

Reducing decoherence is an essential step toward realizing general-purpose quantum computers beyond the present noisy intermediate-scale quantum (NISQ) computers. To this end, dynamical decoupling (DD) approaches in which external fields…

量子物理 · 物理学 2022-09-23 Yukiyoshi Ohtsuki , Suicho Mikami , Toru Ajiki , David J. Tannor

Near-term quantum devices are subject to errors and decoherence error is one of the non-negligible sources. Dynamical decoupling (DD) is a well-known technique to protect idle qubits from decoherence error. However, the optimal approach to…

量子物理 · 物理学 2022-05-02 Siyuan Niu , Aida Todri-Sanial

Simulating noiseless quantum dynamics classically faces a fundamental dilemma: tensor-network methods become inefficient as entanglement saturates, while Pauli-truncation approaches typically rely on noise or randomness. To close the gap,…

量子物理 · 物理学 2026-01-23 Jue Xu , Chu Zhao , Xiangran Zhang , Shuchen Zhu , Qi Zhao

A frequently encountered source of systematic error in quantum computations is imperfections in the control pulses which are the classical fields that control qubit gate operations. From an analysis of the quantum mechanical time-evolution…

量子物理 · 物理学 2021-05-14 Qile David Su

Dynamic Mode Decomposition (DMD) is a data-driven method related to Koopman operator theory that extracts information about dominant dynamics from data snapshots. In this paper we examine techniques to accelerate the application of DMD to…

数值分析 · 数学 2026-02-02 Peter Oehme

Illuminated by the Pulse Width Modulation (PWM) technology in classical control engineering, we propose the PWM approximation which transforms continuous and bang-bang control into each other. This method works by squeezing the…

量子物理 · 物理学 2017-12-07 Qi-Ming Chen , Re-Bing Wu , Herschel Rabitz

Universal fault-tolerant quantum computation will require real-time decoding algorithms capable of quickly extracting logical outcomes from the stream of data generated by noisy quantum hardware. We propose modular decoding, an approach…

量子物理 · 物理学 2023-03-10 Héctor Bombín , Chris Dawson , Ye-Hua Liu , Naomi Nickerson , Fernando Pastawski , Sam Roberts

Dynamic Mode Decomposition (DMD) is an unsupervised machine learning method that has attracted considerable attention in recent years owing to its equation-free structure, ability to easily identify coherent spatio-temporal structures in…

机器学习 · 计算机科学 2022-02-16 Alex Viguerie , Gabriel F. Barros , Malú Grave , Alessandro Reali , Alvaro L. G. A. Coutinho

Quantum error correction (QEC) codes are necessary to fault-tolerantly operate quantum computers. However, every such code is inherently limited by its inability to detect logical errors. Here, we propose and implement a method that…

The Dynamic Mode Decomposition (DMD)---a popular method for performing data-driven Koopman spectral analysis---has gained increased adoption as a technique for extracting dynamically meaningful spatio-temporal descriptions of fluid flows…

流体动力学 · 物理学 2017-07-13 Maziar S. Hemati , Clarence W. Rowley , Eric A. Deem , Louis N. Cattafesta

In time series forecasting, effectively disentangling intricate temporal patterns is crucial. While recent works endeavor to combine decomposition techniques with deep learning, multiple frequencies may still be mixed in the decomposed…

人工智能 · 计算机科学 2024-03-27 Xiaobing Yuan , Ling Chen

The analysis of nonlinear dynamical systems based on the Koopman operator is attracting attention in various applications. Dynamic mode decomposition (DMD) is a data-driven algorithm for Koopman spectral analysis, and several variants with…

动力系统 · 数学 2017-10-31 Naoya Takeishi , Yoshinobu Kawahara , Takehisa Yairi

Dynamic Mode Decomposition (DMD) has emerged as a powerful tool for analyzing the dynamics of non-linear systems from experimental datasets. Recently, several attempts have extended DMD to the context of low-rank approximations. This…

机器学习 · 统计学 2018-05-18 Patrick Héas , Cédric Herzet

The ongoing development of hardware that is capable of reliably executing general quantum algorithms requires quantum error-correcting codes that are both practical for realisation and rapidly reduce logical error rates as they are scaled…