Figure 2.

Negative regions of Wigner functions for coherent state $|\beta =1\rangle$ subjected to self-Kerr interaction with total strengths T = 0.2 (first column), T = 0.4 (second column), T = 0.6 (third column), and T = 0.8 (fourth column). The top row shows the ideal realization of the operation, the middle row shows simulations with single step strength of τ = 0.02, and the bottom row shows realistic lossy simulation with repeated single step transmittance η = 1–5.6 × 10⁻⁴. Insets show fidelities of the states with the ideal versions. We can see that the simulations faithfully recreate the ideal Wigner functions, even under the effects of moderate loss.