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Open Quantum Systems Decoherence
Isotropic quantum walks on lattices and the Weyl equation
arXiv
Authors: Giacomo Mauro D'Ariano, Marco Erba, Paolo Perinotti
Year
2017
Paper ID
44225
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
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.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- We present a thorough classification of the isotropic quantum walks on lattices of dimension d=1,2,3 for cell dimension s=2.
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