101 citations · 624 across the 19 of their papers we have counts for
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quant-ph2008★ 4 cited
Large Qudit Limit of One-dimensional Quantum Walks
Mitsunori Sato, Naoki Kobayashi, Makoto Katori +1
We study a series of one-dimensional discrete-time quantum-walk models labeled by half integers , introduced by Miyazaki {\it et al.}, each of which the walker'…
quant-ph2008★ 101 cited
Limit distributions of two-dimensional quantum walks
Kyohei Watabe, Naoki Kobayashi, Makoto Katori +1
One-parameter family of discrete-time quantum-walk models on the square lattice, which includes the Grover-walk model as a special case, is analytically studied. Convergence in the…