Quantum state transfer in a q-deformed chain

TL;DR

This paper explores quantum state transfer in a generalized chain of particles governed by q-deformed algebra, unifying spin and bosonic chains, and analyzes conditions for perfect transfer influenced by algebraic parameters.

Contribution

It introduces a unified algebraic framework for quantum state transfer that encompasses spin and bosonic chains using q-deformed oscillators.

Findings

Conditions for perfect state transfer depend on chain size and excitations.

Deformation parameters allow studying nonlinear effects and interpolation between chain types.

The algebraic approach provides a versatile tool for analyzing quantum communication channels.

Abstract

We investigate the quantum state transfer in a chain of particles satisfying q-deformed oscillators algebra. This general algebraic setting includes the spin chain and the bosonic chain as limiting cases. We study conditions for perfect state transfer depending on the number of sites and excitations on the chain. They are formulated by means of irreducible representations of a quantum algebra realized through Jordan-Schwinger maps. Playing with deformation parameters, we can study the effects of nonlinear perturbations or interpolate between the spin and bosonic chain.