Holographic codes and bulk RG flows

2025/09/25 by Dong, Xi, Marolf, Donald, Rath, Pratik · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2509.21438

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.

Citations

• Geometric Entropies and their Hamiltonian Flows
• The black hole interior from non-isometric codes and complexity
• The Ryu-Takayanagi Formula from Quantum Error Correction: An Algebraic Treatment of the Boundary CFT

Cited by

• A further support for the statement that the action of the HRT-area generates a kink transformation in the pure AdS₃ gravity

Related

• Building holographic code from the boundary
• IR physics from the holographic RG flow
• Fast Scrambling under an RG-flow
• Exotic RG flow of entanglement entropy
• Holographic codes