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Lackadaisical Quantum Walk

Updated 14 July 2026
  • Lackadaisical Quantum Walk is a discrete-time coined quantum walk modified with weighted self-loops to improve success probabilities in spatial search tasks.
  • The approach adapts to various graph structures, with optimal self-loop weights scaling with vertex degree and marked vertex configurations on complete graphs, grids, and hypercubes.
  • This framework bridges discrete and continuous quantum walks, offering robustness against noise and tailored adjustments for multiple marked vertices and symmetry-broken models.

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