报告题目： Mathematical modeling, entanglement quantifiers and statistical properties of the open and closed quantum systems
报告时间：2025年3月30日 （周日）14:00-15:00
报告地点：综合楼644会议室
报告人：S. Abdel-Khalek (阿卜杜勒. 哈利克)
报告人简介：
S. Abdel-Khalek received the Ph.D. degree in computer science from Al-Azhar University, in 2016. He is currently a Full Professor of Applied Mathematics with the Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, Saudi Arabia. He is the author of several articles published in different international scientific journals. His research interests include quantum information and computer science. He is a member of different working groups. He is an Editorial Board Member for some highly reputed journals. According to Stanford University’s Top 2% Scientists, he is among top 2% scientists as career impact and also single year impact of 2024.
报告摘要：
This report encapsulates a broad yet deeply interconnected set of topics that lie at the heart of modern quantum science and technology. Quantum systems, whether open or closed, exhibit behaviors that challenge our classical intuition. Closed systems, isolated from their environment, evolve unitarily and preserve information, while open systems interact with their surroundings, leading to phenomena like decoherence and dissipation. Understanding these systems requires sophisticated mathematical tools to model their dynamics, quantify their quantum correlations, and analyze their statistical properties.
In this talk, I will begin by exploring the role of mathematical modeling in describing the evolution of quantum systems. From Schrödinger’s equation for closed systems to master equations and Lindblad operators for open systems, these frameworks provide the foundation for predicting and controlling quantum behavior. Next, I will discuss entanglement quantifiers―measures like concurrence, negativity, and entanglement entropy―that help us characterize the non-classical correlations between subsystems, a key resource for quantum information processing. Finally, I will highlight the statistical properties of these systems, emphasizing how fluctuations, correlations, and thermodynamic quantities reveal deeper insights into their behavior. By bridging these concepts, we can better understand the challenges and opportunities in harnessing quantum systems for applications in computing, communication, and sensing.
This talk aims to provide a cohesive overview of these topics, emphasizing their interplay and relevance to both fundamental research and practical technologies. I look forward to engaging with you and exploring these ideas together.
