2 papers
math-ph2026
Bottleneck Effects and Harmonic-Type Velocity Bounds for Periodic Quantum Walks
Houssam Abdul-Rahman, Thomas A. Jackson, Darren C. Ong
We prove explicit upper bounds on the propagation velocity of one-dimensional quantum walks with periodic coins of arbitrary period. We treat two complementary settings. First, in…
math-ph2026
Absence of Ballistic Transport in Quantum Walks with Asymptotically Reflecting Sites
Houssam Abdul-Rahman, Thomas A. Jackson, Yousef Salah
We prove general sufficient conditions for zero velocity in position dependent one-dimensional quantum walks, and hence for the absence of ballistic transport. Our starting point i…