# Quantum Error Correcting Codes in Eigenstates of Translation-Invariant Spin Chains.

@article{Brando2019QuantumEC, title={Quantum Error Correcting Codes in Eigenstates of Translation-Invariant Spin Chains.}, author={Fernando G. S. L. Brand{\~a}o and Elizabeth Crosson and Mehmet Burak Şahinoğlu and John Bowen}, journal={Physical review letters}, year={2019}, volume={123 11}, pages={ 110502 } }

Quantum error correction was invented to allow for fault-tolerant quantum computation. Systems with topological order turned out to give a natural physical realization of quantum error correcting codes (QECC) in their ground spaces. More recently, in the context of the anti-de Sitter/conformal field theory correspondence, it has been argued that eigenstates of CFTs with a holographic dual should also form QECCs. These two examples raise the question of how generally eigenstates of many-body…

## 43 Citations

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