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To explain day-to-day (DTD) route-choice behaviors and traffic dynamics observed in a series of lab experiments, Part I of this research proposed a discrete choice-based analytical dynamic model (Qi et al., 2023). Although the deterministic…

物理与社会 · 物理学 2023-03-08 Hang Qi , Ning Jia , Xiaobo Qu , Zhengbing He

We examine energy transport in an ensemble of closed quantum systems driven by stochastic perturbations. One can show that the probability and energy fluxes can be described in terms of quantum advection modes (QAM) associated with the…

介观与纳米尺度物理 · 物理学 2015-06-04 G. A. Levin , W. A. Jones , K. Walczak , K. L. Yerkes

Quantum walks have been shown to have a wide range of applications, from artificial intelligence, to photosynthesis, and quantum transport. Quantum stochastic walks (QSWs) generalize this concept to additional non-unitary evolution. In this…

量子物理 · 物理学 2021-05-26 Peter K. Schuhmacher , Luke C. G. Govia , Bruno G. Taketani , Frank K. Wilhelm

Simulating charge and energy transfer in extended molecular networks requires an effective model to include the environment because it significantly affects the quantum dynamics. A prototypical effect known as Environment-Assisted Quantum…

量子物理 · 物理学 2022-02-04 Federico Gallina , Matteo Bruschi , Barbara Fresch

We study the coherent exciton transport of continuous-time quantum walks (CTQWs) on Erdos-Renyi networks. The Erdos-Renyi network of N nodes is constructed by connecting every pair of nodes with probability $p$. We numerically calculate the…

量子物理 · 物理学 2008-11-03 X. -P. Xu , F. Liu

We investigate quantum walks in multiple dimensions with different quantum coins. We augment the model by assuming that at each step the amplitudes of the coin state are multiplied by random phases. This model enables us to study in detail…

量子物理 · 物理学 2009-11-13 Jozef Kosik , Vladimir Buzek , Mark Hillery

Quantum walks exhibit many unique characteristics compared to classical random walks. In the classical setting, self-avoiding random walks have been studied as a variation on the usual classical random walk. Classical self-avoiding random…

量子物理 · 物理学 2015-01-08 Elizabeth Camilleri , Peter P. Rohde , Jason Twamley

Quantum walks have gained significant attention over the past decades, mainly because of their variety of implementations and applications. Atomic quantum walks are typically subject to spontaneous emissions arising from the control fields.…

量子物理 · 物理学 2024-06-27 Nikolai Bolik , Sandro Wimberger

Uncertainty is inevitable in transportation system due to the stochastic change of demand and supply. It is one of the most important factors affecting travelers' choice behavior. Based on the framework of Vickrey's bottleneck model, we…

物理与社会 · 物理学 2020-01-07 Dongxu Lu , Rui Jiang , Ronghui Liu , Qiumin Liu , Ziyou Gao

The modeling of disaggregated vehicular mobility and its associations with the ambient urban built environment is essential for developing operative transport intervention and urban optimization plans. However, established vehicular route…

应用统计 · 统计学 2024-10-15 Chaogui Kang , Zheren Liu

In recent years, there has been an emerging trend of combining two innovations in computer science and physics to achieve better computation capability. Exploring the potential of quantum computation to achieve highly efficient performance…

量子物理 · 物理学 2023-03-13 Yen-Jui Chang , Wei-Ting Wang , Hao-Yuan Chen , Shih-Wei Liao , Ching-Ray Chang

Managing the response to natural disasters effectively can considerably mitigate their devastating impact. This work explores the potential of using supervised hybrid quantum machine learning to optimize emergency evacuation plans for cars…

We review various features of the statistics of random paths on graphs. The relationship between path statistics and Quantum Mechanics (QM) leads to two canonical ways of defining random walk on a graph, which have different statistics and…

统计力学 · 物理学 2010-08-04 Z. Burda , J. Duda , J. M. Luck , B. Waclaw

As automated vehicles (AVs) enter mixed traffic, proactively anticipating the evolution of human driving behavior during critical interactions, such as lane changes, is essential. However, classical Evolutionary Game Theory (EGT) fails to…

计算机科学与博弈论 · 计算机科学 2026-04-23 Sungyong Chung , Tina Radvand , Alireza Talebpour

Coherent evolution governs the behaviour of all quantum systems, but in nature it is often subjected to influence of a classical environment. For analysing quantum transport phenomena quantum walks emerge as suitable model systems. In…

We investigate a novel quantum random walk (QRW) model, possibly useful in quantum algorithm implementation, that achieves a quadratically faster diffusion rate compared to its classical counterpart. We evaluate its asymptotic behavior…

量子物理 · 物理学 2016-09-08 Demosthenes Ellinas , Ioannis Smyrnakis

By means of microscopic simulations we show that non-instantaneous adaptation of the driving behaviour to the traffic situation together with the conventional measurement method of flow-density data can explain the observed…

统计力学 · 物理学 2009-11-10 Martin Treiber , Dirk Helbing

This paper presents a simple model that mimics quantum mechanics (QM) results without using complex wavefunctions or non-localities. The proposed model only uses integer-valued quantities and arithmetic operations, in particular assuming a…

综合物理 · 物理学 2017-01-04 Antonio Sciarretta

Quantum Random Walks, which have drawn much attention over the past few decades for their distinctly non-classical behavior, is a promising subfield within Quantum Computing. Theoretical framework and applications for these walks have seen…

量子物理 · 物理学 2021-01-25 Daniel Koch , Michael Samodurov , Andrew Projansky , Paul M. Alsing

Accurate vehicle acceleration prediction is critical for intelligent driving control and energy efficiency management, particularly in environments with complex driving behavior dynamics. This paper proposes a general short-term vehicle…

机器学习 · 计算机科学 2025-04-08 Wenxuan Wang , Lexing Zhang , Jiale Lei , Yin Feng , Hengxu Hu