189 citations · 1.9k across the 148 of their papers we have counts for
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Limit Theorem for Continuous-Time Quantum Walk on the Line
Norio Konno
Concerning a discrete-time quantum walk X^{(d)}_t with a symmetric distribution on the line, whose evolution is described by the Hadamard transformation, it was proved by the autho…
Relation between coined quantum walks and quantum cellular automata
Masatoshi Hamada, Norio Konno, Etsuo Segawa
Motivated by the recent work of Patel et al., this paper clarifies a connection between coined quantum walks and quantum cellular automata in a general setting. As a consequence, t…
Breakdown of an Electric-Field Driven System: a Mapping to a Quantum Walk
Takashi Oka, Norio Konno, Ryotaro Arita +1
Quantum transport properties of electron systems driven by strong electric fields are studied by mapping the Landau-Zener transition dynamics to a quantum walk on a semi-infinite o…
A Path Integral Approach for Disordered Quantum Walks in One Dimension
Norio Konno
The present letter gives a rigorous way from quantum to classical random walks by introducing an independent random fluctuation and then taking expectations based on a path integra…
Localization of Multi-State Quantum Walk in One Dimension
Norio Inui, Norio Konno
We show analytically that particle trapping appears in a quantum process called "quantum walk", in which the particle moves macroscopically correlating to the inner states. It has…
Quantum Walks and Reversible Cellular Automata
Norio Konno, Kenichi Mitsuda, Takahiro Soshi +1
We investigate a connection between a property of the distribution and a conserved quantity for the reversible cellular automaton derived from a discrete-time quantum walk in one d…
Temporal Fluctuations of Continuous-Time Quantum Random Walks on Circles
Norio Inui, Koichiro Kasahara, Yoshinao Konishi +1
This work deals with both instantaneous uniform mixing property and temporal standard deviation for continuous-time quantum random walks on circles in order to study their fluctuat…