Discrete Geometry from Quantum Walks

A particular family of Discrete Time Quantum Walks (DTQWs) simulating fermion propagation in 2D curved space-time is revisited. Usual continuous covariant derivatives and spin-connections are generalized into discrete covariant derivatives along the lattice coordinates and discrete connections. The...

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Bibliographic Details
Main Author: Fabrice Debbasch
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Condensed Matter
Subjects:
Online Access:https://www.mdpi.com/2410-3896/4/2/40