sf.ops.Fourier

Fourier = <strawberryfields.ops.Fouriergate object>

Fourier gate.

Also accessible via the shortcut variable Fourier.

A special case of the phase space rotation gate, where \(\theta=\pi/2\).

\[F = R(\pi/2) = e^{i (\pi/2) a^\dagger a}\]

Details and Conventions

Definition

A special case of the rotation operator is the case \(\phi=\pi/2\); this corresponds to the Fourier gate,

\[F = R(\pi/2) = e^{i (\pi/2) \ad \a}.\]

The Fourier gate transforms the quadratures as follows:

\[\begin{split}& F^\dagger\x F = -\p,\\ & F^\dagger\p F = \x.\end{split}\]

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