Grover-like search via Frenkel exciton trapping mechanism

TL;DR

This paper proposes a physical implementation of a Grover-like quantum search using Frenkel exciton trapping at impurities, analyzing optimal parameters and error rates in organic systems and extending to long-range lattice models.

Contribution

It introduces a novel physical realization of quantum search via exciton trapping, detailing optimal lattice parameters and error estimates, and extends the analysis to long-range lattice systems.

Findings

Optimal lattice parameters for fastest exciton trapping identified

Error rates for doped organic systems estimated

Extension of quantum search analysis to long-range lattice models

Abstract

We propose the physical implementation of a Grover-like search problem by means of Frenkel exciton trapping at a shallow isotopic impurity against a background of competing mechanisms. The search culminating at the impurity molecule, designated the "winner" site, is marked by its enhanced interaction with acoustic phonons at low temperatures. The quantum search proceeds with the assistance of an Oracle-like exciton-phonon interaction which addresses only the impurity site, via the Dyson propagator within the Green's function formalism. The optimum parameters of a graph lattice with long-range intersite interactions required to trap the exciton in the fastest time are determined, and estimates of error rates for the naphthalene doped organic system are evaluated. We extend analysis of quantum search to a fluctuating long-range interacting cycle (LRIC) graph lattice system.