Optimized Entanglement Purification

TL;DR

This paper introduces optimized entanglement purification protocols for qubit Bell pairs using genetic algorithms, resulting in shorter, more successful circuits that enhance practical quantum computing and communication.

Contribution

It presents a novel approach employing genetic algorithms to design efficient purification circuits, considering realistic error models and resource constraints.

Findings

Shorter purification circuits with higher success rates

Improved final fidelities over existing methods

Software tool for analyzing purification circuits

Abstract

We investigate novel protocols for entanglement purification of qubit Bell pairs. Employing genetic algorithms for the design of the purification circuit, we obtain shorter circuits achieving higher success rates and better final fidelities than what is currently available in the literature. We provide a software tool for analytical and numerical study of the generated purification circuits, under customizable error models. These new purification protocols pave the way to practical implementations of modular quantum computers and quantum repeaters. Our approach is particularly attentive to the effects of finite resources and imperfect local operations - phenomena neglected in the usual asymptotic approach to the problem. The choice of the building blocks permitted in the construction of the circuits is based on a thorough enumeration of the local Clifford operations that act as permutations on the basis of Bell states.