Holographic codes and bulk RG flows

Xi Dong; Donald Marolf; Pratik Rath

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arXiv · 2509.21438

Holographic codes and bulk RG flows

Xi Dong·Donald Marolf·Pratik Rath

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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.

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Xi Dong, Donald Marolf, Pratik Rath. 2026-09-12. Holographic codes and bulk RG flows. https://arxiv.org/abs/2509.21438

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