Holographic codes and bulk RG flows

• URL: http://arxiv.org/abs/2509.21438v1
• Date: Thu, 25 Sep 2025 19:11:50 GMT
• Title: Holographic codes and bulk RG flows
• Authors: Xi Dong, Donald Marolf, Pratik Rath,
• Abstract summary: We study the renormalization under this flow of the $A/4G$ term in the Faulkner-Lewkowycz-Maldacena formula.<n>This provides a general quantum code perspective on the arguments of Susskind and Uglum.
• Score: 0.10923877073891443
• License: http://creativecommons.org/licenses/by/4.0/
• 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 R\'enyi 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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