Corpus ID: 117446363

Fibre bundle framework for unitary quantum fault tolerance

@article{Gottesman2013FibreBF,
  title={Fibre bundle framework for unitary quantum fault tolerance},
  author={Daniel Gottesman and Lucy Liuxuan Zhang},
  journal={arXiv: Quantum Physics},
  year={2013}
}
  • Daniel Gottesman, Lucy Liuxuan Zhang
  • Published 2013
  • Mathematics, Physics
  • arXiv: Quantum Physics
  • We introduce a differential geometric framework for describing families of quantum error-correcting codes and for understanding quantum fault tolerance. This work unifies the notion of topological fault tolerance with fault tolerance in other kinds of quantum error-correcting codes. In particular, we use fibre bundles with a natural flat projective connection to study the transformation of codewords under unitary fault-tolerant evolutions. We show that the fault-tolerant logical operations are… CONTINUE READING

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