cicyt UNIZAR
Full-text links:

Download:

Current browse context:

math-ph

Change to browse by:

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo ScienceWISE logo

Mathematical Physics

Title: Kinematics and Dynamics of Quantum Walks in terms of Systems of Imprimitivity

Abstract: We build systems of imprimitivity (SI) in the context of quantum walks and provide geometric constructions for their configuration space. We consider three systems, an evolution of unitaries from the group SO3 on a low dimensional de Sitter space where the walk happens on the dual of SO3, standard quantum walk whose SI live on the orbits of stabilizer subgroups (little groups) of semidirect products describing the symmetries of 1+1 spacetime, and automorphisms (walks are specific automorphisms) on distant-transitive graphs as application of the constructions.
Comments: 16 pages, 3 figures
Subjects: Mathematical Physics (math-ph)
Cite as: arXiv:1803.07049 [math-ph]
  (or arXiv:1803.07049v1 [math-ph] for this version)

Submission history

From: Radhakrishnan Balu [view email]
[v1] Mon, 19 Mar 2018 17:23:53 GMT (15kb)