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In this article, we study the dynamics of a nonlinear system governed by an ordinary differential equation under the combined influence of fast periodic sampling with period $\delta$ and small jump noise of size $\varepsilon, 0<…

概率论 · 数学 2024-11-28 Shivam Singh Dhama

Noiseless subsystems offer a general and efficient method for protecting quantum information in the presence of noise that has symmetry properties. A paradigmatic class of error models displaying non-trivial symmetries emerges under…

The data-driven recovery of the unknown governing equations of dynamical systems has recently received an increasing interest. However, the identification of governing equations remains challenging when dealing with noisy and partial…

机器学习 · 计算机科学 2021-02-17 Duong Nguyen , Said Ouala , Lucas Drumetz , Ronan Fablet

In a Networked Dynamical System (NDS), each node is a system whose dynamics are coupled with the dynamics of neighboring nodes. The global dynamics naturally builds on this network of couplings and it is often excited by a noise input with…

机器学习 · 计算机科学 2023-12-19 Augusto Santos , Diogo Rente , Rui Seabra , José M. F. Moura

We investigate the dynamics of continuous-time two-particle quantum walks on a one-dimensional noisy lattice. Depending on the initial condition, we show how the interplay between particle indistinguishability and interaction determines…

In specific motifs of three recurrently connected neurons with probabilistic response, the spontaneous information flux, defined as the mutual information between subsequent states, has been shown to increase by adding ongoing white noise…

神经元与认知 · 定量生物学 2024-08-13 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

Protecting information against decoherence in open quantum systems remains a central challenge for quantum computing. In particular, passive error correction schemes have so far been limited to static memories rather than dynamical qubits.…

量子物理 · 物理学 2026-02-25 Mert Esencan , A. I. Lvovsky , Berislav Buča

When a quantum system interacts with multiple reservoirs, the environmental effects are usually treated in an additive manner. We show that this assumption breaks down for non-Markovian environments that have finite memory times.…

量子物理 · 物理学 2014-04-30 Ching-Kit Chan , Guin-Dar Lin , Susanne F. Yelin , Mikhail D. Lukin

A precise understanding of the influence of a quantum system's environment on its dynamics, which is at the heart of the theory of open quantum systems, is crucial for further progress in the development of controllable large-scale quantum…

量子物理 · 物理学 2022-10-10 I. A. Luchnikov , E. O. Kiktenko , M. A. Gavreev , H. Ouerdane , S. N. Filippov , A. K. Fedorov

We successfully model the behavior of two-spin systems using neural networks known as conditional Restricted Boltzmann Machines (cRBMs) which encode physical information in the properties of a thermal ensemble akin to an Ising model. The…

量子物理 · 物理学 2021-05-31 Steven Weinstein

As circuits continue to miniaturize, noise has become a significant obstacle to performance optimization. Stochastic resonance in logic circuits offers an innovative approach to harness noise constructively; however, current implementations…

适应与自组织系统 · 物理学 2024-10-11 Mengen Shen , Jianhua Yang , Miguel A. F. Sanjuán , Huatao Chen , Zhongqiu Wang

In this article, we focus on two toy models : the Curie-Weiss model and the system of $N$ particles in linear interactions in a double well confining potential. Both models, which have been extensively studied, describe a large system of…

概率论 · 数学 2023-08-04 Arnaud Guillin , Pierre Le Bris , Pierre Monmarché

Noise is ubiquitous in real quantum systems, leading to non-Hermitian quantum dynamics, and may affect the fundamental states of matter. Here we report in experiment a quantum simulation of the two-dimensional non-Hermitian quantum…

量子物理 · 物理学 2022-07-01 Zidong Lin , Lin Zhang , Xinyue Long , Yu-ang Fan , Yishan Li , Kai Tang , Jun Li , XinFang Nie , Tao Xin , Xiong-Jun Liu , Dawei Lu

Memory effects in the dynamics of open systems have been the subject of significant interest in the last decades. The methods involved in quantifying this effect, however, are often difficult to compute and may lack analytical insight. With…

量子物理 · 物理学 2021-02-10 Rolando Ramirez Camasca , Gabriel T. Landi

Dynamical systems are ubiquitous within science and engineering, from turbulent flow across aircraft wings to structural variability of proteins. Although some systems are well understood and simulated, scientific imaging often confronts…

计算机视觉与模式识别 · 计算机科学 2025-09-03 Ali SaraerToosi , Renbo Tu , Kamyar Azizzadenesheli , Aviad Levis

The exactly analytical solutions for the dynamics of the dissipative three-level V-type and $\Lambda$-type atomic systems in the vacuum Lorentzian environments are presented. Quantum interference phenomenon between the two transitions in…

量子物理 · 物理学 2017-12-27 Hao-Sheng Zeng , Yu-Kun Ren , Zhi He

We have studied the dynamics of a particle in a periodically driven underdamped periodic potential. Recent studies have reported the occurrence of Stochastic Resonance (SR) in such systems in the high frequency regime, using input energy…

统计力学 · 物理学 2016-09-07 Shantu Saikia

This paper presents a noise-aware quantum-assisted framework for blockage prediction in reconfigurable intelligent surface (RIS)-enabled wireless networks. The proposed architecture integrates a Quantum Base Station (QBS), a Quantum RIS…

量子代数 · 数学 2025-11-06 Shakil Ahmed

In principle a quantum system could be used to simulate another quantum system. The purpose of such a simulation would be to obtain information about problems which cannot be simulated with a classical computer due to the exponential…

量子物理 · 物理学 2013-05-30 Nayeli Zuniga-Hansen , Yu-Chieh Chi , Mark S. Byrd

A deterministic dynamical system that slowly passes through a generic fold-type (saddle-node) bifurcation can be reduced to one-dimensional dynamics close to the bifurcation because of the centre manifold theorem. It is often tacitly…

动力系统 · 数学 2024-10-02 Andreas Morr , Niklas Boers , Peter Ashwin