Isotropic quantum walks on lattices and the Weyl equation

Abstract

We present a thorough classification of the isotropic quantum walks on lattices of dimension $d=1,2,3$ for cell dimension $s=2$. For $d=3$ there exist two isotropic walks, namely the Weyl quantum walks presented in Ref. [G. M. D'Ariano and P. Perinotti, Phys. Rev. A 90, 062106 (2014)], resulting in the derivation of the Weyl equation from informational principles. The present analysis, via a crucial use of isotropy, is significantly shorter and avoids a superfluous technical assumption, making the result completely general.

16 pages, 1 figure

References in corpus (2)

• Discrete Lorentz covariance for Quantum Walks and Quantum Cellular Automata
• Noisy quantum walks of two indistinguishable interacting particles

Cited by in corpus (2)

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