On the Wilsonian Meaning of Quantum Error Correction

Abstract

We sketch a recipe to define renormalization group transformations based on Kadanoff‐Wilson block packing using a quantum error correction code. In such a case the RG transformations of the couplings are determined by the error matrix of the QEC code. In order to define the RG transformation of couplings we use Weinberg's sum rule for an error Källen Lehman function. We define an error beta function that for holographic AdS codes is conjectured to be zero. For holographic codes the relation between Weinberg's sum rule for the error Källen Lehman function and bulk locality is briefly discussed.