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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...
Search on a Hypercubic Lattice using Quantum Random Walk: d>2
Hypercubic Lattice Quantum Random
2010/3/10
Random walks describe diffusion processes, where movement at every time step is restricted to only the neighbouring locations. We construct a quantum random walk algorithm, based on discretisation of ...
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...