Holographic codes and bulk RG flows

Abstract:We consider the coarse-graining of holographic quantum error correcting codes under a generalized notion of bulk renormalization-group flow. In particular, we study the renormalization under this flow of the $A/4G$ term in the Faulkner-Lewkowycz-Maldacena formula and in its Rényi generalization. This provides a general quantum code perspective on the arguments of Susskind and Uglum. Specifically, given a 'UV' code with two-sided recovery and appropriately flat entanglement spectrum together with a set of 'seed' states in the UV code, we explicitly construct an 'IR' code with corresponding properties which contains the given seed states and is of minimal size in a sense we describe.

arXiv:2509.21438 [hep-th]

(or arXiv:2509.21438v2 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2509.21438 Focus to learn more arXiv-issued DOI via DataCite

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