189 citations · 1.9k across the 148 of their papers we have counts for
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quant-ph2008
Limit theorems for quantum walks driven by many coins
Etsuo Segawa, Norio Konno
We obtain some rigorous results on limit theorems for quantum walks driven by many coins introduced by Brun et al. in the long time limit. The results imply that whether the behavi…
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…