Nonlinear discrete-time quantum walks on two-dimensional lattices

Key Points

• Nonlinear mechanisms improve diffusion efficiency and reduce localization phenomena, leading to faster stability in quantum systems.
• Initial state design and nonlinear control create two synergistic degrees of freedom that enhance quantum walk dynamics.
• Different coin states combined with varying nonlinear strengths demonstrate a collaborative control mechanism affecting system behavior.
• This model lays a robust theoretical foundation for advancements in quantum algorithms and novel quantum information protocols.

Abstract