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quant-ph2026
Hadamard Rigidity of Positive Sojourn Time Distributions for Rotation Coins
Shunya Tamura, Tomoki Yamagami
We study the distribution of the positive sojourn time for a one-dimensional two state quantum walk, conditioned on return to the origin. Konno showed that, for the Hadamard walk,…
math.CO2026
Average hitting times and recurrence structures II: Cartesian products of powers of cycles and regular graphs
Tsuyoshi Miezaki, Shunya Tamura
In our previous work \cite{MiezakiTamura2026}, we clarified the second-order linear recurrence structures appearing in the average hitting times on the -th power graph o…
math.CO2026
Average Hitting Times and Recurrence Structures I: Powers of Cycle Graphs
Tsuyoshi Miezaki, Shunya Tamura
We investigate the average hitting times of simple random walks on the -th power graph of the cycle graph . First, we show that the average hitting times are charac…