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On the Wilsonian Meaning of Quantum Error Correction
Fortschritte der Physik ( IF 3.9 ) Pub Date : 2020-10-13 , DOI: 10.1002/prop.202000094
César Gómez 1
Affiliation  

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.

中文翻译:

论量子误差校正的威尔逊意义

我们绘制一个配方,以使用量子误差校正码基于Kadanoff-Wilson块包装定义重新规范化组转换。在这种情况下,耦合的RG变换由QEC码的误差矩阵确定。为了定义联轴器的RG变换,我们对误差KällenLehman函数使用了温伯格的求和规则。我们定义了一个错误beta函数,对于全息AdS码,该函数被推测为零。对于全息代码,简要讨论了针对误差KällenLehman函数的温伯格求和规则与体局部性之间的关系。
更新日期:2020-10-13
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