P(survive) at t=T: —Zeno prediction: —Free evolution: —Measurements done: 0
Quantum Zeno effect: a quantum system evolving between |0⟩ and |1⟩ is repeatedly measured in the |0⟩ basis. Each measurement collapses the state back with probability P = cos²(Ωτ/2) where τ = T/N. As N→∞, P(survive) = cos²(ΩT/2N)^N → 1 — the watched quantum pot never boils. The survival probability approaches 1 as measurement frequency increases.