Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyper-Invariant MERA: Approximate Holographic Error Correction Codes
  with Power-Law Correlations   We consider a class of holographic tensor networks that are efficiently
contractible variational ansatze, manifestly (approximate) quantum error
correction codes, and can support power-law correlation functions. In the case
when the network consists of a single type of tensor that also acts as an
erasure correction code, we show that it cannot be both locally contractible
and sustain power-law correlation functions. Motivated by this no-go theorem,
and the desirability of local contractibility for an efficient variational
ansatz, we provide guidelines for constructing networks consisting of multiple
types of tensors that can support power-law correlation. We also provide an
explicit construction of one such network, which approximates the holographic
HaPPY pentagon code in the limit where variational parameters are taken to be
small.

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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin