Continuous groups of transversal gates for quantum error correcting codes from finite clock reference frames

@article{Woods2019ContinuousGO,
  title={Continuous groups of transversal gates for quantum error correcting codes from finite clock reference frames},
  author={Mischa P. Woods and 'Alvaro M. Alhambra},
  journal={arXiv: Quantum Physics},
  year={2019},
  volume={4},
  pages={245}
}
  • Mischa P. Woods, 'Alvaro M. Alhambra
  • Published 2019
  • Mathematics, Physics, Computer Science
  • arXiv: Quantum Physics
  • Following the introduction of the task of reference frame error correction, we show how, by using reference frame alignment with clocks, one can add a continuous Abelian group of transversal logical gates to any error-correcting code. With this we further explore a way of circumventing the no-go theorem of Eastin and Knill, which states that if local errors are correctable, the group of transversal gates must be of finite order. We are able to do this by introducing a small error on the… CONTINUE READING

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