Quantum Walk — Discrete Coin

Coin & Initial State

Coin type: Hadamard H Grover G Discrete Fourier DFT Y coin Biased coin (θ) Coin bias θ (for biased): 45° Initial spin: |↑⟩ |↑⟩ |↓⟩ |+⟩=(|↑⟩+i|↓⟩)/√2 |↑⟩+|↓⟩ (symmetric) Steps: 0 / 100 Compare Classical

Quantum walks spread ballistically (σ∝t) vs classically (σ∝√t). The interference of the coin operator creates characteristic double-peak distributions. Used in quantum algorithms (Grover's, element distinctness).