20125401

SoSe 24: Quantum Error Correction

Philippe Faist

Comments

Current quantum computers are severly limited by noise, preventing them from running quantum algorithms that are large enough to explore the full power of quantum computing. Quantum error correction protects fragile quantum information from noise and is anticipated to enable future quantum computers to run large quantum circuits at low error rates.

With this course, you will assimilate the core concepts in quantum error correction and fault tolerance, familiarize yourself with the current major quantum error correcting codes for various types of quantum hardware, learn how to apply standard techniques to construct new codes with corresponding decoders, and understand how to reliably run a quantum computation on encoded states.

This course builds upon the concepts introduced in the course “Quantum Information Theory” and is targeted to students wishing to deepen their knowledge about modern techniques in quantum computing. This course will both equip you with a strong theoretical background useful to carry out future theoretical research in the field of quantum computing as well as help you develop key skills to join the quantum industry workforce. We will also occasionally have the opportunity to touch upon some connections to broader themes including classical codes, the theory of condensed matter physics, and (if time permits) some models of quantum gravity.

Topics that we will cover include (tentative):
- Fundamental principles of quantum error correction
- Qubit stabilizer codes
- The surface code
- Fault tolerance with the surface code
- Topological codes beyond the surface code
- Quantum Low-Density Partity-Check codes (qLDPC)
- Bosonic codes
- Implementations/realizations on quantum hardware platforms
- Quantum error correction in physical many-body systems and holography

I am happy to further shape the course based on suggestions from registered students, e.g., to include additional topics or to prioritize certain topics.