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Comparison of Three Kinds of Quantum Walks.
| CIQW in ref.2 | CIQW in ref.3,4 | CAQW | |
|---|---|---|---|
| Number of particles | Two particles | Two particles | One particle |
| Number of directions | Two directions | Two directions | Two directions |
| Unitary operator | S xy (I ⊗ C 2 ⊗ C 2) | S xy (I ⊗ C 4) | S y C 2 S x C 2 |
| Collision | Predictable collisions | NO | NO |
| Size of state space for d-dimensional QW | n d × 2d | n d × 2d | n d × 2 |
