Published November 30, 2007 | Version v1
Journal article

Non-stationary quantum walks on the cycle

  • 1. Department of Mathematics, Iowa State University, Ames, IA (United States)
  • 2. Dipartimento di Ingegneria dell'Innovazione, Universita del Salento, Lecce (Italy)
  • 3. Dipartimento di Matematica Pura ed Applicata, Universita di Padova (Italy)

Description

We consider quantum walks on the cycle in the non-stationary case where the 'coin' operation is allowed to change at each time step. We characterize, in algebraic terms, the set of possible state transfers and prove that, as opposed to the stationary case, the associate probability distribution may converge to a uniform distribution among the nodes of the associated graph

Additional details

Identifiers

DOI
10.1088/1751-8113/40/48/010;
PII
S1751-8113(07)56335-3;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
40
Journal Issue
48
Journal Page Range
p. 14447-14455
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39028838
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DISTRIBUTION; GRAPH THEORY; PROBABILITY; QUANTUM MECHANICS
Descriptors DEC
MATHEMATICS; MECHANICS