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={F. Brand{\~a}o and E. Crosson and M. B. Sahinoglu and J. 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… Expand
Continuous symmetries and approximate quantum error correction
Eigenstate Thermalization Hypothesis and Approximate Quantum Error Correction
The pair-flip model: a very entangled translationally invariant spin chain
...
1
2
3
...

References

SHOWING 1-10 OF 38 REFERENCES
Theory of quantum error-correcting codes
Towards Holography via Quantum Source-Channel Codes.
The Ryu–Takayanagi Formula from Quantum Error Correction
Power law violation of the area law in quantum spin chains
Chaos and quantum thermalization.
  • Srednicki
  • Physics, Medicine
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1994
Randomizing Quantum States: Constructions and Applications
Bulk locality and quantum error correction in AdS/CFT
...
1
2
3
4
...