Quantum Wonders
Quantum Wonders — показан в пълни детайли, с неговото доказателство: детерминиран адрес по съдържание, преизчислим от името на компонента.
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The I Ching quantum wave continues — four more impossible-seeming results, proven and implemented. Interaction-free measurement: a Mach–Zehnder dark port that fires only when an object sits in one arm — so the object is detected without the photon ever taking its path, seeing by the light that did not touch it. The quantum Zeno effect: measure a slowly-rotating qubit often enough and its evolution freezes — the survival probability (cos²(π/2N))^N climbs to one as the measurements multiply, the watched pot that never boils. Bernstein–Vazirani: a hidden n-bit secret read out in a single oracle query where any classical method needs n. Entanglement swapping: two qubits that have never met, never shared a past, made maximally entangled by a Bell measurement on their partners — entanglement teleported onto strangers. Each is exact on the simulator, and each, like teleportation before it, challenges what seems possible while breaking no law.
- ✓ interaction-free measurementElitzur–Vaidman: the dark port fires with the object (P=0.25) and NEVER without it (P=0) — detect a thing by the light that did not touch it (probabilistic; →1 when Zeno-chained)
- ✓ quantum Zeno effectfrequent measurement freezes the evolution; survival (cos²(π/2N))^N rises to 0.976 (→1) — the watched pot never boils (real measurements cost energy; no free lunch)
- ✓ Bernstein–Vazirania hidden n-bit string in ONE oracle query where classical needs n: 11→11 5→5 0→0 15→15 (1 vs 4 queries)
- ✓ entanglement swappingtwo qubits that NEVER interacted made maximally entangled (concurrence 1) by a Bell measurement on their partners — the quantum-repeater primitive (no FTL: the outcome must be broadcast classically)
- counterintuitive, not forbiddenall four obey every law — no faster-than-light, no cloning, no free energy; "impossible" = surprising-yet-real, the truly-forbidden stays flagged
Граница: Four real, cited quantum protocols, exactly simulated on the deterministic state-vector engine: interaction-free measurement (Elitzur–Vaidman 1993; Kwiat et al. 1995 demonstrated), the quantum Zeno effect (Misra–Sudarshan 1977; Itano et al. 1990 observed), Bernstein–Vazirani (1993), and entanglement swapping (Żukowski–Horne–Ekert 1993; Pan et al. 1998 demonstrated). HONEST BOUNDS, each preserved: interaction-free detection is genuine but PROBABILISTIC (¼ in the basic interferometer, raised toward 1 only by the Zeno-chained version); Zeno freezing requires real projective measurements (which cost energy — see quantumFusedDeviceEnergyHonest — no free lunch); Bernstein–Vazirani is QUERY complexity (one call to a given oracle, not free computation); and entanglement swapping creates real correlation but NO faster-than-light signal — the specific Bell state depends on the inner measurement outcome, which must be broadcast classically to be used. "Impossible" = counterintuitive-yet-real, never a breach of conservation, causality, or no-cloning; the truly forbidden stays flagged.
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