Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer
Luc Vinet, Alexei Zhedanov
TL;DR
This paper introduces new para-Krawtchouk polynomials on a bi-lattice, demonstrating their application in designing a quantum spin chain with perfect state transfer, and explores their algebraic properties and connections.
Contribution
It presents novel para-Krawtchouk polynomials on a bi-lattice and shows their use in constructing quantum spin chains with perfect state transfer, linking them to quadratic Hahn algebra.
Findings
Introduction of para-Krawtchouk polynomials on a bi-lattice
Construction of a quantum spin chain with perfect state transfer
Connection to quadratic Hahn algebra
Abstract
Analogs of Krawtchouk polynomials defined on a bi-lattice are introduced. They are shown to provide a (novel) spin chain with perfect transfer. Their characterization is given as well as their connection to the quadratic Hahn algebra
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