BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Geoff Penington (UC Berkeley) DTSTART:20211130T193000Z DTEND:20211130T203000Z DTSTAMP:20260423T005738Z UID:nhetc/24 DESCRIPTION:Title: Q uantum minimal surfaces from quantum error correction\nby Geoff Pening ton (UC Berkeley) as part of NHETC Seminar\n\n\nAbstract\nWe show that com plementary state-specific reconstruction of logical (bulk) operators is eq uivalent to the existence of a quantum minimal surface prescription for ph ysical (boundary) entropies. This significantly generalizes both sides of an equivalence previously shown by Harlow\; in particular\, we do not requ ire the entanglement wedge to be the same for all states in the code space . In developing this theorem\, we construct an emergent bulk geometry for general quantum codes\, defining "areas" associated to arbitrary logical s ubsystems\, and argue that this definition is "functionally unique." We al so formalize a definition of bulk reconstruction that we call "state-speci fic product unitary" reconstruction. This definition captures the quantum error correction (QEC) properties present in holographic codes and has pot ential independent interest as a very broad generalization of QEC\; it inc ludes most traditional versions of QEC as special cases. Our results exten d to approximate codes\, and even to the "non-isometric codes" that seem t o describe the interior of a black hole at late times.\n LOCATION:https://researchseminars.org/talk/nhetc/24/ END:VEVENT END:VCALENDAR