network_65536 · the fidelity that survives

verdict

⏳ conductor booting — verdict renders only after all live probes complete…

conductor RUNNING

probe-1 · death of 0.95 QUEUED

probe-2 · surviving fidelity QUEUED

probe-3 · resurrection QUEUED

the lever · drag the per-link fidelity

F = 0.9500 ·

2D — the decay, and the pump

top: end-to-end fidelity vs swap level for the slider's F — solid = bare (falls to the ¼ floor), dashed = with purification (pumped back to working fidelity each level). red line = the F=½ life/death boundary. bottom: the surviving-fidelity landscape — end fidelity at 2¹⁶ as a function of per-link F; the cliff is the point of the whole instrument.

3D — the fidelity tower (soft-GL)

seventeen rings: base = 65,536 raw links, apex = the one end-to-end pair. ring color = fidelity at that doubling level for the slider's F. watch the tower go dark from the top down as you drop F — and relight when purification is on. drag to rotate.

toddler corner

ELI5: imagine a whisper game with 65,537 kids in a line. every hand-off smudges the secret a little — and here the smudge DOUBLES every time you fold the line in half. start at 95% clear and the secret is mush by kid seventeen — not kid 65,537, kid SEVENTEEN. to whisper the whole line raw you'd need each hand-off 99.9999% perfect. the rescue: pairs of kids compare two copies of the whisper and throw away the smudged one (that's purification). do that at every fold and even the 95% whisper arrives clear — it just costs a mountain of extra whispers. and below 50% clear, the whisper was never a secret at all: that's the real wall.

method & provenance

double verification. net65536.py computed everything at 50-digit precision; this page recomputes the death level, the ¼ floor, both bisection thresholds, and the resurrection table in independent JS. baked ≠ live ⇒ red monitors, dead verdict.

anchors. swap recurrence & nested purification: Briegel, Dür, Cirac, Zoller, PRL 81, 5932 (1998). purification recurrence: BBPSSW, Bennett et al., PRL 76 (1996); DEJMPS, Deutsch et al., PRL 77 (1996). Werner distillability wall F=½.