For square GKP codes, a Kerr evolution exp(i*pi*n-hat^2/8) is an exact, envelope-preserving logical sqrt(Hadamard) gate, enabling ancilla-free magic state preparation.
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Using a Kerr interaction for GKP magic state preparation
For square GKP codes, a Kerr evolution exp(i*pi*n-hat^2/8) is an exact, envelope-preserving logical sqrt(Hadamard) gate, enabling ancilla-free magic state preparation.