【Speaker】: Prof. Dr. Lucas Chibebe Céleri, Physics Institute, Federal University of Goiás
【Title】: Introduction to Information Theory: Foundations and Applications
【Location】: 29#-414
【Time】: Starting from Oct. 11, every Wednesday (18:30-21:30), 2 Seminars+6 Lectures
Content: Introduction to information theory. Shannon coding theorems. Introduction to quantum information. Application to classical thermodynamics. Application to critical systems. Application to quantum thermodynamics.
2 Classes 2.1 Introduction to information theory — 2 hours
1. The bit.
2. The measure of information.
3. General aspects of information theory.
2.2 First Shannon coding theorem — 2 hours
1. Proof of the data compression theorem.
2.3 Second Shannon coding theorem — 2 hours
1. Proof of the channel capacity theorem.
2.4 Applications to classical thermodynamics — 2 hours
1. Kolmogorov-Sinai entropy and classical dynamical systems.
2.5 Applications to critical systems — 2 hours
1. Entropy production in dynamical quantum phase transitions.
2.6 Applications to quantum thermodynamics — 2 hours
1. Informational gauge theory for quantum thermodynamics.
3 References
1. T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley-Interscience, 2006).
2. M. M. Wilde. From classical to quantum Shannon theory. https://arxiv.org/abs/1106.1445 (2019).
3. M. Capela, M. Sanz, E. Solano and L. C. C´eleri. Kolmogorov-Sinai entropy and dissipation in driven classical Hamiltonian systems. Phys. Rev. E 98, 052109 (2018).
4. B. O. Goes, G. T. Landi, E. Solano, M. Sanz and L. C. C´eleri. Wehrl entropy production rate across a dynamical quantum phase transition. Phys. Rev. Research 2, 033419 (2020).
5. L. C. C´eleri and L. Rudnicki. Gauge invariant quantum thermodynamics: consequences for the first law. https://arxiv.org/abs/2104.10153 (2023).
【邀请人】：高先龙老师
欢迎感兴趣的教师和学生参加！
