IAS Physics Group Meeting
Quantum Error-Correcting Codes and CFTs
This group meeting will be presented in-person in Wolfensohn Hall at the IAS.
For contact-tracing purposes all off-campus attendees must register for this seminar:
REGISTRATION FORM
All in-person attendees must be fully vaccinated and masks are required in all indoor spaces. Additionally, all off-campus attendees are required to upload proof of vaccination via the IAS CrowdPass App .
Abstract: There is a Narain CFT naturally associated to any self-dual quantum stabilizer code. For these "code CFTs", the constraints of modular invariance reduce to simple algebraic equations satisfied by the enumerator polynomial of the code, which can be solved à la bootstrap to provide many examples of physically distinct CFTs with identical spectra. The spectral gap of a code CFT corresponds to the error-correcting capacity of its associated code, which can be bounded from above and below. I'll conclude with a discussion of the relation between the ensemble of large-c code CFTs and U(1) gravity.
References:
https://arxiv.org/abs/2009.01244
https://arxiv.org/abs/2009.01236
https://arxiv.org/abs/2012.15830