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Relativistic Quantum Walks

Published

Author(s)

Frederick Strauch

Abstract

By pursuing the deep relation between the one-dimensional Dirac equation and quantum walks, the physical role of quantum interference in the latter is explained. It is shown that the time evolution of the probability density of a quantum walker, initially localized on a lattice, is directly analogous to relativistic wave-packet spreading. Analytic wave-packet solutions reveal a striking connection between the discrete and continuous time quantum walks.
Citation
Physical Review Letters

Keywords

Dirac equation, entanglement, quantum computation, quantum walk

Citation

Strauch, F. (2008), Relativistic Quantum Walks, Physical Review Letters (Accessed June 21, 2024)

Issues

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Created October 16, 2008