Figure 1

(a) First moments relative to the real part of $\alpha$. Solid red and blue lines represent the ideal values of $\langle \widehat{p}\rangle$ and $\langle \widehat{x}\rangle$, respectively. Red and blue crosses then show these values for the deterministic non-Gaussian approximation, while red and blue circles do so for the Gaussian approximation. Dashed green line is a quadratic fit for $\langle \widehat{p}\rangle$. The experimental parameters are $g=1$ and $\chi =0.03$. (b) Second moments relative to the real part of $\alpha$. Solid red and blue lines represent the ideal values of $\langle {\widehat{p}}^2\rangle$ and $\langle {\widehat{x}}^2\rangle$, respectively. Red and blue crosses then show these values for the deterministic non-Gaussian approximation, while red and blue circles do so for the Gaussian approximation.Reuse & Permissions

Figure 2

Schematic experimental setup of the deterministic $x^3$ gate. BS, beam splitter; PBS, polarization beam splitter; PS, phase shift; PR, polarization rotator; APD, avalanche photodiode; HD, homodyne detection; and D, displacement.Reuse & Permissions