Cat Qubit 2D: Wigner-Function Biased-Noise Simulator

This simulator renders the live Wigner function of a dissipatively-stabilized Schrödinger-cat qubit as a rotatable 2D phase-space height field — two coherent-state lobes in a microwave resonator, connected by a quantum interference fringe pattern whose negative regions have no classical explanation. Drag the mean-photon-number slider and the two noise-rate sliders to see the defining trick of bosonic quantum error correction in action: bit-flip errors between the |0⟩ and |1⟩ pointer states are suppressed exponentially as photon number grows, while phase-flip errors only grow linearly, so the qubit's native noise becomes strongly biased toward a single, more correctable error type. A dedicated bias-rate panel plots both curves against n̄ live, and an event-timeline strip runs a real stochastic simulation of both error channels so you can watch the bias play out tick by tick. A toggle turns the two-photon stabilization off entirely to show the unprotected baseline.