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Central limit theorems for open quantum random walks
Central limit theorems quantum random walks Probability
2012/6/27
Open Quantum Random Walks are the exact quantum generalization of Markov chains on finite graphs or on nets. These random walks are typically quantum in their behavior, step by step, but they seem to ...
The extremely fascinating behaviors of the quantum walks of particles, which differ much from the classical counterparts, have attracted many physicists. Here we investigate another interesting part ...
Integrated photonic 3D waveguide arrays for quantum random walks on a circle
Integrated 3D waveguide quantum random circle
2010/11/5
Quantum random walks (QRWs) can be used to perform both quantum simulations and quantum algorithms. In order to exploit this potential, quantum walks on different types of graphs must be physically im...
Quantum random walks and minors of Hermitian Brownian motion
Quantum random walks minors of Hermitian Brownian motion
2010/11/30
Considering quantum random walks, we construct discrete-time approximations of the eigenvalues processes of minors of Hermitian Brownian motion.
Matrix valued Szego polynomials and quantum random walks
Matrix valued Szego polynomials quantum random walks
2010/4/8
We consider quantum random walks (QRW) on the integers, a subject that has been considered in the last few years in the framework of quantum computation. We show how the theory of CMV matrices gives a...