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Framework for discrete-time quantum walks and a symmetric walk on a binary tree
discrete-time quantum walks symmetric walk Framework Quantum Physics
2011/10/9
Abstract: We formulate a framework for discrete-time quantum walks, motivated by classical random walks with memory. We present a specific representation of the classical walk with memory 2 on which t...
Abstract: We study the motion of M particles performing a quantum walk on the line. Under various conditions on the initial coin states for quantum walkers controlled by the Hadamard operator, we give...
Asymptotic evolution of quantum walks with random coin
Asymptotic evolution quantum walks random coin
2010/10/19
We study the asymptotic position distribution of general quantum walks on a lattice, including
walks with a random coin, which is chosen from step to step by a general Markov chain. In the
unitary (...