Routing a quantum state in a bio-inspired network

TL;DR

This paper explores quantum information transfer in a bio-inspired spin network modeled after an alpha-helix, analyzing conditions for perfect state transfer without environmental noise through analytical and numerical methods.

Contribution

It introduces a simplified Davydov model for bio-inspired quantum networks and investigates conditions for perfect state transfer in this context.

Findings

PST is achievable between specific nodes with proper couplings.

Boundary conditions significantly influence transfer efficiency.

Analytical and numerical methods confirm the upper bounds of transfer probability.

Abstract

We consider a spin network resembling an $\alpha$-helix structure and study quantum information transfer over this bio-inspired network. The model we use is the Davydov model in its elementary version without a phononic environment. We investigate analytically and numerically the perfect state transfer (PST) in such a network which provides an upper bound on the probability of quantum states transfer from one node to another. We study PST for different boundary conditions on the network and show it is reachable between certain nodes and with suitable spin-spin couplings.