Advanced algebra, complex analysis, functional analysis, probability theory, quantum mechanics
In this semester, we will introduce how to represent and transmit information by quantum states. We will also introduce how to characterize the process with quantum channel in open quantum system. Several special quantum noise channel will be discussed and the some error correction methods will be given. Then we will discuss the measure of the information similarity of two quantum states. We will also introduce the differences of quantum and classical entropy, and related study. Finally, we will introduce some research directions in quantum information.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information
1. Quantum noise and quantum operations;
2. Distance measures for quantum information;
3. Quantum error-correction;
4. Entropy and information;
5. Quantum information theory.
Yu Wang received his PhD degree in computer software and theory from the Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences in 2019. After graduation, he worked at Pengcheng Laboratory in Shenzhen. In December 2020, he joined the Yanqi Lake Beijing Institute of Mathematical Science and Applications. The main research area is about quantum information and quantum computation. Specifically, the current research is focuses on quantum state tomography, in order to optimize the measurement and computation resouce to read out the unknown quantum states. Besides, it is also studied to design new quantum communication protocols by different quantum walk models.
Lecturer Email: firstname.lastname@example.org
TA: Dr. Yi Liu, email@example.com