Quantum Communication Networks Enhanced by Distributed Quantum Memories

TL;DR

This paper demonstrates that using distributed quantum memories and cooperative protocols in quantum networks significantly enhances communication capabilities, modeled through an improved percolation framework.

Contribution

It introduces the concept of $$-percolation, a novel mapping that incorporates quantum cooperation, leading to improved network connectivity analysis.

Findings

Distributed quantum memories enable better network-wide communication.

Cooperative protocols create a positive feedback mechanism improving connectivity.

The $$-percolation model predicts enhanced percolation thresholds in quantum networks.

Abstract

Building large-scale quantum communication networks has its unique challenges. Here, we demonstrate that a network-wide synergistic usage of quantum memories distributed in a quantum communication network offers a fundamental advantage. We first map the problem of quantum communication with local usage of memories into a classical continuum percolation model. Then, we show that this mapping can be improved through a cooperation of quantum distillation and relay protocols via remote access to distributed memories. This improved mapping, which we term $\alpha$-percolation, can be formulated in terms of graph-merging rules, analogous to the decimation rules of the renormalization group treatment of disordered quantum magnets. These rules can be performed in any order, yielding the same optimal result that is characterized by the emergence of a ``positive feedback'' mechanism and the formation of spatially disconnected ``hopping'' communication components -- both marking significant improvements beyond the traditional point-to-point consideration of quantum communication in networked structures.