# 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…

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