Volume 109, Number 4, February 2015
|Number of page(s)||5|
|Published online||04 March 2015|
Discrete Feynman propagator for the Weyl quantum walk in 2 + 1 dimensions
1 QUIT Group, Dipartimento di Fisica - via Bassi 6, 27100 Pavia, Italy
2 INFN Sezione di Pavia - via Bassi, 6, 27100 Pavia, Italy
Received: 3 November 2014
Accepted: 10 February 2015
Recently quantum walks have been considered as a possible fundamental description of the dynamics of relativistic quantum fields. Within this scenario we derive the analytical solution of the Weyl walk in dimensions. We present a discrete path-integral formulation of the Feynman propagator based on the binary encoding of paths on the lattice. The derivation exploits a special feature of the Weyl walk, that occurs also in other dimensions, that is closure under multiplication of the set of the walk transition matrices. This result opens the perspective of a similar solution in the case.
PACS: 03.67.Ac – Quantum algorithms, protocols, and simulations / 03.67.-a – Quantum information
© EPLA, 2015
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.