IAS Physics Group Meeting

Quantum Error Correction in SYK and Bulk Emergence

This group meeting will be presented in-person in the Bloomberg Lecture Hall at the IAS and on Zoom. The Zoom link will be provided in the email announcement.

For contact-tracing purposes all off-campus attendees must register for this seminar
REGISTRATION FORM

All in-person attendees must be fully vaccinated, including a booster dose, and masks are optional in all indoor spaces. Additionally, all off-campus attendees are required to upload proof of vaccination that includes a booster dose via the IAS CrowdPass App 

Abstract: We will discuss the price of the quantum error correcting codes, defined as the number of physical qubits needed to reconstruct whether a given operator has been acted upon the thermal state or not. By thinking about reconstruction via quantum teleportation, we will argue for a bound that relates the price to the ordinary operator size in systems that display so-called detailed size winding of Nezami et al. (2021). We then discuss how in the specific example of SYK this bound is roughly saturated. Computing the price requires computing modular flowed correlators with respect to the density matrix associated to a subset of fermions. We offer an interpretation of these correlators as probing a quantum extremal surface in the AdS dual of SYK. In the large N limit, the operator algebras associated to subsets of fermions in SYK satisfy half-sided modular inclusion, which is indicative of an emergent Type III1  von Neumann algebra. We will mention the relationship between the emergent algebra of half-sided modular inclusions and bulk symmetry generators.

Date & Time

May 11, 2022 | 1:45pm – 3:00pm

Location

Bloomberg Lecture Hall (IAS) & on Zoom

Speakers

Speaker Affiliation

Institute for Advanced Study

Categories

Tags