Abstract: Since Kitaev's seminal introduction of the toric code, the search for more efficient quantum error-correcting (QEC) codes has been a central challenge in the quest for fault-tolerant quantum computation. Beyond protecting quantum information from noise, practical QEC codes must also admit efficient real-time decoding and support low space-time volume implementation of logical operations.These requirements have driven the development of increasingly sophisticated code families. In this talk, I will survey a selection of CSS quantum low-density parity-check (qLDPC) codes that can be viewed as natural extensions of the toric code paradigm. By highlighting the underlying ideas that connect these constructions, I will illustrate how many seemingly complex qLDPC codes emerge from relatively simple modifications of the toric-code framework.I will also present recent experimental results obtained at Atom Computing using neutral atoms in optical-tweezer arrays and discuss current perspectives on the implementation of logical gates in these codes.
- Organizer: Centre for Quantum Mathematics
- Address: Campusvej 55, 5230 Odense M
- Contact Email: qm@sdu.dk
- Add to your calendar: https://eom.sdu.dk:443/events/ical/27209ff5-c472-49c4-9bab-dbb626397210