Boson Sampling 2D — Photon Interference in a Linear-Optical Network

This is the hand-on-the-dials companion to the 3D boson-sampling network: the same physics, the same exact-permanent computation, but every beamsplitter's reflectivity is now a slider you drag yourself. N indistinguishable single photons enter distinct input ports of a small M-mode mesh; each beamsplitter's own unitary is multiplied into the running network unitary live as you move a slider, and the exact quantum output distribution is recomputed via the matrix permanent — the #P-hard quantity that makes boson sampling believed to be classically intractable — every single frame it changes. Compare it side-by-side against the distribution classical, distinguishable particles would produce through the identical mesh, watch the live bar chart and the animated photon paths respond instantly, and fire single-shot samples to see multi-photon interference bunch and antibunch the output in ways no classical model reproduces.