Quantum Error Correction
Theory of quantum information and computation has been extensively investigated
in the last two decades. Interactions between a quantum system with environment cause undesirable changes in the state of the quantum system.
In the case of qubits, they appear as bit-flip and phase-flip errors, for example.
To reduce such errors, we must build in some sort of error correcting mechanism in the algorithm.
This course will introduce several constructions or construction methods of quantum codes
as well as techniques of constructions of quantum convolutional codes available in the literature.
in the last two decades. Interactions between a quantum system with environment cause undesirable changes in the state of the quantum system.
In the case of qubits, they appear as bit-flip and phase-flip errors, for example.
To reduce such errors, we must build in some sort of error correcting mechanism in the algorithm.
This course will introduce several constructions or construction methods of quantum codes
as well as techniques of constructions of quantum convolutional codes available in the literature.
Lecturer
Cheng Dong Tao
Date
12th March ~ 13th June, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday,Thursday | 14:30 - 16:10 | A3-4-301 | ZOOM 09 | 230 432 7880 | BIMSA |
Prerequisite
1. Linear Algebra; 2. Error Correction Code
Syllabus
1. Some Linear Algebra
2. A Little Bit of Quantum Mechanics
3. Quantum Error-Correcting Codes
4. Linear Block Codes
5. Quantum Code Constructions
6. Asymmetric Quantum Codes
7. Constructions of QCCs
2. A Little Bit of Quantum Mechanics
3. Quantum Error-Correcting Codes
4. Linear Block Codes
5. Quantum Code Constructions
6. Asymmetric Quantum Codes
7. Constructions of QCCs
Reference
1. GADIOLI, GIULIANO, and LA GUARDIA. QUANTUM ERROR CORRECTION: Symmetric, Asymmetric, Synchronizable, and Convolutional Codes. SPRINGER NATURE, 2020.
2. Nielsen, Michael A., and Isaac L. Chuang. Quantum computation and quantum information. Cambridge university press, 2010.
2. Nielsen, Michael A., and Isaac L. Chuang. Quantum computation and quantum information. Cambridge university press, 2010.
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
, Postdoc
, Researcher
Video Public
No
Notes Public
No
Language
Chinese
Lecturer Intro
Dr. Chengdong Tao got his Ph.D from South China University of Technology in 2015. Then he became an engineer at Shenzhen Huawei Technology Co., Ltd., and Executive Director and General Manager at Guangzhou Liangjian Technology Co., Ltd.. From 2020, he has been an Assistant Professor, and in 2023 Associated Professor of Yanqi Lake Beijing Institute of Mathematical Sciences and Applications. His Research Interests include Computational Algebra, Post-quantum Cryptography, Fast Implementation.