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Relativistic Quantum Walks



Frederick Strauch


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.
Physical Review Letters


Dirac equation, entanglement, quantum computation, quantum walk


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


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Created October 16, 2008