Corpus ID: 218870333

New perspectives on covariant quantum error correction

@article{Zhou2020NewPO,
  title={New perspectives on covariant quantum error correction},
  author={Sisi Zhou and Zidu Liu and Liang Jiang},
  journal={arXiv: Quantum Physics},
  year={2020}
}
Covariant codes are quantum codes such that symmetry transformations on the logical system could be realized by symmetry transformations on the physical system, usually with limited capability of performing quantum error correction (an important case being the Eastin-Knill theorem). The need for understanding the limits of covariant quantum error correction arises in various realms of physics including fault-tolerant quantum computation, condensed matter physics and quantum gravity. Here, we… Expand

Figures from this paper

No-go theorems for quantum resource purification: new approach and channel theory.
Asymptotic theory of quantum channel estimation.
Efficient multi-port teleportation schemes
Many-body quantum magic
...
1
2
...

References

SHOWING 1-10 OF 73 REFERENCES
Coherence distillation machines are impossible in quantum thermodynamics
  • I. Marvian
  • Physics, Medicine
  • Nature Communications
  • 2020
Continuous symmetries and approximate quantum error correction
Sending entanglement through noisy quantum channels.
  • Schumacher
  • Physics, Medicine
  • Physical review. A, Atomic, molecular, and optical physics
  • 1996
Quantum Error Correcting Codes in Eigenstates of Translation-Invariant Spin Chains.
Error Correction of Quantum Reference Frame Information
Using entanglement against noise in quantum metrology.
The elusive Heisenberg limit in quantum-enhanced metrology
Comparison Between the Cramer-Rao and the Mini-max Approaches in Quantum Channel Estimation
General conditions for approximate quantum error correction and near-optimal recovery channels.
...
1
2
3
4
5
...