Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Communications and control engineering/Communications and control engineering series

Mathematical Modeling of Linear Dynamical Quantum Systems

Hendra I. Nurdin, Naoki Yamamoto

Published Jan 1, 2017• 0 citations
Publisher
DOI
10.1007/978-3-319-55201-9_2

Related papers

Linear Dynamical Quantum Systems

Hendra I. Nurdin, Naoki Yamamoto

Communications and control engineering/Communications and control engineering series•Jan 1, 2017•68 citations

Title: Quantum-Classical Resonance in Non-Linear Systems

Jincheng Zhang

This paper explores the intricate relationship between quantum and classical systems, particularly focusing on the resonance phenomenon and its dynamics. We propose a novel mathematical framework to quantitatively analyze this interplay, leveraging a model of non-linear dynamics intrinsically driven by quantum fluctuations. The core claim is to develop theorems regarding the resonance frequency, demonstrating a unified approach to understanding this complex interplay. The work addresses the limitations of current models by providing a more comprehensive and mathematically rigorous framework for analyzing non-linear systems exhibiting resonance. This research offers a significant step towards a deeper understanding of the fundamental physics underlying these phenomena.

•Aug 31, 2026•0 citations

Mathematical Modeling of Finite Quantum Systems

Vladimir V. Kornyak

Lecture notes in computer science•Jan 1, 2012•11 citations

Model Checking Quantum Automata

Mingsheng Ying, Yuan Feng

Quantum systems are modelled as different mathematical structures, depending on their nature and complexity. This chapter considers one of the simplest (discrete-time) models of quantum systems, namely quantum automata. It introduces a way of describing linear-time (dynamic) properties of quantum systems and presents several algorithms for checking certain linear-time properties of quantum automata, for example, invariants and reachability.

Cambridge University Press eBooks•Jan 14, 2021•0 citations

Title: Non-Linear Quantum Phase Transitions for Dynamical Systems Modeling

Jincheng Zhang

This paper investigates the potential of non-linear quantum phase transitions as a novel framework for modeling dynamic systems. Dynamic systems often exhibit complex, emergent behavior, making traditional models inadequate. We propose a new conceptual model centered around a quantum process that dynamically alters the system's dynamics based on its state, aiming to predict and understand complex patterns. This research focuses on designing a quantum process that fundamentally shifts the system's state, triggering a cascade of effects across the system's various degrees of freedom. The core of this work lies in exploring the implications of such a quantum transition for modeling dynamical systems and predicting emergent behavior. We present a preliminary theoretical framework and explore potential mathematical representations, emphasizing the significance of this approach for advancing understanding of complex systems.

•Sep 3, 2026•0 citations

Quantum Dynamics: Models and Mathematics

Springer eBooks•Jan 1, 1976•20 citations
This paper explores the intricate relationship between quantum and classical systems, particularly focusing on the resonance phenomenon and its dynamics. We propose a novel mathematical framework to quantitatively analyze this interplay, leveraging a model of non-linear dynamics intrinsically driven by quantum fluctuations. The core claim is to develop theorems regarding the resonance frequency, demonstrating a unified approach to understanding this complex interplay. The work addresses the limitations of current models by providing a more comprehensive and mathematically rigorous framework for analyzing non-linear systems exhibiting resonance. This research offers a significant step towards a deeper understanding of the fundamental physics underlying these phenomena.
This paper investigates the potential of non-linear quantum phase transitions as a novel framework for modeling dynamic systems. Dynamic systems often exhibit complex, emergent behavior, making traditional models inadequate. We propose a new conceptual model centered around a quantum process that dynamically alters the system's dynamics based on its state, aiming to predict and understand complex patterns. This research focuses on designing a quantum process that fundamentally shifts the system's state, triggering a cascade of effects across the system's various degrees of freedom. The core of this work lies in exploring the implications of such a quantum transition for modeling dynamical systems and predicting emergent behavior. We present a preliminary theoretical framework and explore potential mathematical representations, emphasizing the significance of this approach for advancing understanding of complex systems.