• Corpus ID: 218613724

The infinite-dimensional HaPPY code: entanglement wedge reconstruction and dynamics

@article{Gesteau2020TheIH,
  title={The infinite-dimensional HaPPY code: entanglement wedge reconstruction and dynamics},
  author={Elliott Gesteau and Monica Jinwoo Kang},
  journal={arXiv: High Energy Physics - Theory},
  year={2020}
}
We construct an infinite-dimensional analog of the HaPPY code as a growing series of stabilizer codes defined respective to their Hilbert spaces. The Hilbert spaces are related by isometric maps, which we define explicitly. We construct a Hamiltonian that is compatible with the infinite-dimensional HaPPY code and further study the stabilizer of our code, which has an inherent fractal structure. We use this result to study the dynamics of the code and map a nontrivial bulk Hamiltonian to the… 

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