Qubit-oscillator-based gate implementations for approximate Gottesman-Kitaev-Preskill codes

The paper proposes using hybrid qubit-oscillator systems to implement exact logical gates for approximate Gottesman-Kitaev-Preskill (GKP) codes, overcoming limitations in purely linear optics. They show that these gate errors become arbitrarily small as squeezing increases and provide efficient constructions for Clifford gates.

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