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4 papers · 1 filter
Limit theorems and absorption problems for quantum random walks in one dimension
Norio Konno
In this paper we consider limit theorems, symmetry of distribution, and absorption problems for two types of one-dimensional quantum random walks determined by 2 times 2 unitary ma…
Multifractal analysis of fluid particle accelerations in turbulence
T. Arimitsu, N. Arimitsu
The probability density function (PDF) of accelerations in turbulence is derived analytically with the help of the multifractal analysis based on generalized entropy, i.e., the Tsa…
A New Type of Limit Theorems for the One-Dimensional Quantum Random Walk
Norio Konno
In this paper we consider the one-dimensional quantum random walk X^{varphi} _n at time n starting from initial qubit state varphi determined by 2 times 2 unitary matrix U. We give…
Quantum random walks in one dimension
Norio Konno
This letter treats the quantum random walk on the line determined by a 2 times 2 unitary matrix U. A combinatorial expression for the mth moment of the quantum random walk is prese…