Cross-Entropy Benchmarking: Lorenz Curve

Random circuit sampling only proves "quantum supremacy" if you can statistically certify the samples really came from the hard-to-simulate quantum distribution and not a classical shortcut. This 2D view reproduces that certificate — linear cross-entropy benchmarking (XEB) — as native statistical plots: a Porter–Thomas Lorenz curve with live rank histograms on top, and the running honest-vs-spoof XEB estimators converging beneath. Two independent bitstring streams — an honest noisy quantum sampler whose fidelity you control, and a classical spoofing adversary whose sophistication you control — feed the exact linear-XEB formula used on real hardware, and you watch the honest stream climb toward the true fidelity while the naive classical guesser stays pinned near zero.