Quantum Walk — 1D Coin Operator Spreading

Hadamard coin quantum walk: ballistic spreading vs classical diffusion
|ψ⟩ → (C⊗S)|ψ⟩  |  C = H (Hadamard)  |  σ_QW ∝ t  vs  σ_CW ∝ √t
50
45°
0.50
Step T
0
σ_QW
σ_CW (√T)