GQFI-UGent-WST Seminar: Nima Lashkari "Renormalization Group and Error Correction"
In renormalization group (RG) flow, the low energy states form a code subspace that is protected against the local short-distance errors. In this talk, Nima Lashkari (Purdue University) discusses the similarities and differences between this approximate error correction code and the classical and quantum codes that appear in the degenerate vacua of local many-body quantum systems. Nima considers continuous MERA as a concrete example and discusses how well the low-energy operators are protected. The trade-off bounds set a bound on the amount of quantum information at a scale. Finally, he comments on the connections to the quantum error correction codes in holography.
The Virtual Seminar Series “GQFI-Ghent University-Warsaw String Theory” (GQFI-UGent-WST) is a joint initiative between the strings/holography groups at the Albert Einstein Institute (AEI) in Potsdam, Ghent University and the University of Warsaw. The calendar for upcoming GQFI-UGent-WST seminars can be found here: https://gqfi.aei.mpg.de/node/3.
This talk is primarily based on arXiv:2112.05099 [hep-th] (https://arxiv.org/abs/2112.05099).
This talk was recorded on February 22nd, 2022 at the Albert Einstein Institute in Potsdam-Golm.