Spin lattices, state transfer and bivariate Krawtchouk polynomials
Mathematical Physics
2023-07-19 v1 math.MP
Quantum Physics
Abstract
The quantum state transfer properties of a class of two-dimensional spin lattices on a triangular domain are investigated. Systems for which the 1-excitation dynamics is exactly solvable are identified. The exact solutions are expressed in terms of the bivariate Krawtchouk polynomials that arise as matrix elements of the unitary representations of the rotation group on the states of the three-dimensional harmonic oscillator.
Cite
@article{arxiv.1410.4703,
title = {Spin lattices, state transfer and bivariate Krawtchouk polynomials},
author = {Vincent X. Genest and Hiroshi Miki and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:1410.4703},
year = {2023}
}
Comments
Proceedings of Theory Canada 9, Waterloo, June 2014. Based on invited talk given by Luc Vinet at this conference