Analog Grover search by adiabatic passage in a cavity-laser-atom system

TL;DR

This paper proposes a theoretical implementation of the adiabatic Grover search algorithm using a cavity-laser-atom system, demonstrating how to achieve quantum speedup through controlled adiabatic passage.

Contribution

It introduces a novel physical setup for adiabatic Grover search with specific pulse schemes and success rate analysis in a cavity-atom system.

Findings

Successful deterministic adiabatic transfer to marked states

Pulse schemes achieving Grover speedup

Calculated success rates for the search process

Abstract

A physical implementation of the adiabatic Grover search is theoretically investigated in a system of N identical three-level atoms trapped in a single mode cavity. Some of the atoms are marked through the presence of an energy gap between their two ground states. The search is controlled by two partially delayed lasers which allow a deterministic adiabatic transfer from an initially entangled state to the marked states. Pulse schemes are proposed to satisfy the Grover speedup either exactly or approximately, and the success rate of the search is calculated.