Encoding a qubit in an oscillator

@article{Gottesman2001EncodingAQ,
  title={Encoding a qubit in an oscillator},
  author={Daniel Gottesman and Alexei Y. Kitaev and John Preskill},
  journal={Physical Review A},
  year={2001},
  volume={64},
  pages={012310}
}
Quantum error-correcting codes are constructed that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of a system described by continuous quantum variables. These codes exploit the noncommutative geometry of phase space to protect against errors that shift the values of the canonical variables q and p. In the setting of quantum optics, fault-tolerant universal quantum computation can be executed on the protected code subspace using linear optical operations… Expand

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