Enhancement of Entanglement Percolation in Quantum Networks via Lattice Transformations

TL;DR

This paper explores methods to improve long-distance entanglement in quantum networks by transforming lattice structures before applying entanglement percolation protocols, leading to enhanced connectivity.

Contribution

It introduces lattice transformation strategies that outperform classical entanglement percolation in quantum networks, providing analysis and rules for protocol performance.

Findings

Lattice transformations can significantly enhance entanglement percolation.

Certain local operations improve long-distance entanglement success rates.

Performance depends on lattice degree and entanglement levels.

Abstract

We study strategies for establishing long-distance entanglement in quantum networks. Specifically, we consider networks consisting of regular lattices of nodes, in which the nearest neighbors share a pure, but non-maximally entangled pair of qubits. We look for strategies that use local operations and classical communication. We compare the classical entanglement percolation protocol, in which every network connection is converted with a certain probability to a singlet, with protocols in which classical entanglement percolation is preceded by measurements designed to transform the lattice structure in a way that enhances entanglement percolation. We analyze five examples of such comparisons between protocols and point out certain rules and regularities in their performance as a function of degree of entanglement and choice of operations.