613 citations
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Showing 2006 · quant-phShow all
3 papers · 2 filters
quant-ph2006★ 42 cited
Wigner formula of rotation matrices and quantum walks
Takahiro Miyazaki, Makoto Katori, Norio Konno
Quantization of a random-walk model is performed by giving a qudit (a multi-component wave function) to a walker at site and by introducing a quantum coin, which is a matrix repres…
quant-ph2006★ 3 cited
Continuous-Time Quantum Walks on Trees in Quantum Probability Theory
Norio Konno
A quantum central limit theorem for a continuous-time quantum walk on a homogeneous tree is derived from quantum probability theory. As a consequence, a new type of limit theorems…
quant-ph2006
Continuous-time quantum walks on ultrametric spaces
Norio Konno
We introduce a continuous-time quantum walk on an ultrametric space corresponding to the set of p-adic integers and compute its time-averaged probability distribution. It is shown…