Quantum Error Correction (QEC)
Course content
The course will cover the basic theory of quantum error correction and fault-tolerance, including the following specific topics:
- Basics of classical coding theory, parity check matrices, tanner graphs
- Basic quantum codes: Shor code, concatenation codes
- QEC theory: Knill Laflemme conditions, Gottesman Knill theorem, threshold theorem,
- Topological codes: the toric code, color code.
- Decoding algorithms (mostly for the color code)
- Fault tolerance: Lattice surgery, and magic state injection.
- Fault-tolerant photonic quantum computing
- (If time permits) Advanced topics: LDPC codes, self correction, bosonic codes
Learning outcome
Knowledge:
- Describe and design quantum error correction codes
- Describe and design fault-tolerant architectures for quantum computing
Skills:
- Perform resource estimates based on specific QEC architectures.
- Design of decoders for topological codes
Competences:
- Ability to work on state of the art topics in quantum error correction, and read research publications on the topic.
Teaching and learning methods
Lectures and exercises
Literature
The teaching material will be gathered from various sources, including:
- Personal set of lecture notes
- Various review articles
Recommended prerequisites
Bachelor in Mathematics, Physics or Computer Science
Academic qualifications equivalent to a BSc degree is recommended.
You should have passed the courses NFYK23002U Introduction to
Quantum Information Science & NMAK23007U Introduction to
Quantum Computing or similar course before registering for this
course.
Feedback form
Continuous feedback during the course of the
semester
Exam
- ECTS
- 7,5 ECTS
- Type of assessment
-
On-site written exam, 4 hours under invigilation
- Aid
- Only certain aids allowed
- Books
- Notes
- Calculator
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
- Re-exam
-
Same as the ordinary exam
Criteria for exam assessment
See Learning Outcome
Course type
Single subject courses (day)
Workload
- Category
- Hours
- Lectures
- 28
- Preparation
- 160
- Exercises
- 14
- Exam
- 4
- English
- 206
Kursusinformation
- Language
- English
- Course number
- NDAK24010U
- ECTS
- 7,5 ECTS
- Programme level
- Full Degree Master
- Duration
-
1 block
- Placement
- Block 2
- Schedulegroup
-
B
- Capacity
- No limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
- Studyboard
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Computer Science
Contracting faculty
- Faculty of Science
Course Coordinator
- Michael Kastoryano (4-7c787a704f73783d7a843d737a)
Teacher
Michael Kastoryano and Stefano Paesani (NBI)
Saved on the
08-05-2024
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Kursusinformation for indskrevne studerende
Kursusinformation for indskrevne studerende