Statistical Mechanics of Quantum Error-Correcting Codes

@article{Li2020StatisticalMO,
  title={Statistical Mechanics of Quantum Error-Correcting Codes},
  author={Yao-Dong Li and M. Fisher},
  journal={arXiv: Quantum Physics},
  year={2020}
}
We study stabilizer quantum error-correcting codes (QECC) generated under hybrid dynamics of local Clifford unitaries and local Pauli measurements in one dimension. Building upon 1) a general formula relating the error-susceptibility of a subregion to its entanglement properties, and 2) a previously established mapping between entanglement entropies and domain wall free energies of an underlying spin model, we propose a statistical mechanical description of the QECC in terms of "entanglement… Expand

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