Quantum Impossible

Quantum Impossible — shown in full detail, with its proof: a deterministic content-address recomputable from the component's name.

☲10D

Impossible-seeming · proven & implemented

Continue folding the I Ching quantum waves: the impossible-seeming, proven possible and implemented. Quantum teleportation moves an unknown state from Alice to Bob through a shared Bell pair and just two classical bits — and the simulator recovers it with perfect fidelity for every one of the four measurement outcomes, the original destroyed in the act (no copy is made). Superdense coding, its mirror, sends two classical bits down a single transmitted qubit because a Bell pair was shared in advance — all four messages decode exactly. Both look impossible and both are real, executed here on the state-vector engine. "Impossible" means counterintuitive, not forbidden: no-cloning holds and nothing outruns light — teleportation is useless until the two classical bits arrive, and the qubit still travels.

• ✓ quantum teleportationan unknown |ψ⟩ moved via a Bell pair + 2 classical bits — fidelity 1 for every measurement outcome (12 tests across states & outcomes). The original is destroyed (no clone).
• ✓ superdense coding2 classical bits sent on 1 qubit with a pre-shared Bell pair: 0→0✓ 1→1✓ 2→2✓ 3→3✓
• no-cloning holdsteleportation does not copy — the measured original collapses; ⟨0|+⟩ = 1/√2 ≠ 1/2 stays the no-cloning contradiction
• no faster-than-lightteleportation is useless until the 2 classical bits arrive; superdense still transmits 1 physical qubit — the no-communication theorem holds
• "impossible" = counterintuitive, not forbiddenthese are surprising-yet-real (Bennett et al. 1993; Bennett–Wiesner 1992), exactly simulated — distinct from the truly-forbidden (perpetual motion / net battery charging), which stays flagged

Boundary: Exact simulations of two genuinely real quantum protocols — quantum teleportation (Bennett, Brassard, Crépeau, Jozsa, Peres, Wootters 1993) and superdense coding (Bennett–Wiesner 1992) — run on the deterministic state-vector simulator (teleport fidelity 1 across all outcomes and test states; superdense all four messages). They CHALLENGE intuition but obey every law: no-cloning is intact (the measured original collapses), and the no-communication theorem holds — both protocols require a classical channel (two bits for teleportation) or the physical transmission of a qubit (superdense), so neither signals faster than light. This is "impossible made possible" in the honest sense — surprising-yet-real — and is explicitly NOT a claim about the truly forbidden (perpetual motion / net battery charging), which remains flagged in quantumFusedDeviceEnergyHonest. The fold continues the quantum-solutions wave: it composes the threshold crossing and the complete solver.

✓ proven · content-address d7db1c14-ccb7-8248-9ea2-57ca5dd10bf3 — declared, placed, mounted, and recomputable from the component's name.