Quantum Walk on a Line

A quantum walker uses a Hadamard coin: |↑⟩ → (|↑⟩+|↓⟩)/√2. Unlike a classical random walk (σ ~ √t), a quantum walk spreads ballistically (σ ~ t), creating two peaks and deep interference valleys at the center.

Step: 0 | σ_quantum: 0 | σ_classical: 0