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• W2084622437 abstract "From the unitary operator used for implementing two-state discrete-time quantum walk on one-, two- and three- dimensional lattice we obtain a two-component Dirac-like Hamiltonian. In particular, using different pairs of Pauli basis as position translation states we obtain three different form of Hamiltonians for evolution on one-dimensional lattice. We extend this to two- and three-dimensional lattices using different Pauli basis states as position translation states for each dimension and show that the external coin operation, which is necessary for one-dimensional walk is not a necessary requirement for a walk on higher dimensions but can serve as an additional resource to control the dynamics. The two-component Hamiltonian we present here for quantum walk on different lattices can serve as a general framework to simulate, control and study the dynamics of quantum systems governed by Dirac-like Hamiltonian." @default.
• W2084622437 created "2016-06-24" @default.
• W2084622437 creator A5024919473 @default.
• W2084622437 date "2013-10-03" @default.
• W2084622437 modified "2023-10-06" @default.
• W2084622437 title "Two-component Dirac-like Hamiltonian for generating quantum walk on one-, two- and three-dimensional lattices" @default.
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• W2084622437 doi "https://doi.org/10.1038/srep02829" @default.
• W2084622437 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/3789158" @default.
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