In this talk, I will present an overview of some topics in quantum error correction and fault tolerance, with a focus on quantum low-density parity-check (LDPC) codes. I will discuss why quantum LDPC codes may play a central role in both the theory and practice of quantum computation. I will then discuss decoding algorithms for quantum LDPC codes. Finally, I hope to talk about some problems in implementing these codes in practice. I will not assume any prior expertise in quantum computing. Using examples from my own work, I hope to highlight the many opportunities for collaboration between classical and quantum coding theorists.
Anirudh Krishna received his Ph.D.in physics from the Université de Sherbrooke in 2020. He was a Bloch Postdoctoral Fellow at Stanford between 2020 and 2023. He is currently a Staff Research Scientist at IBM Quantum, Yorktown Heights. His research focuses on fault-tolerant quantum computation. He is primarily interested in the construction of efficient and scalable methods to perform quantum error correction.