Pushing Boundaries: Quantum-Enhanced Leader Election and the Limits of Consensus

TL;DR

This paper explores the potential and limitations of quantum entanglement in distributed algorithms, specifically leader election, showing it can improve efficiency but cannot overcome fundamental asynchronous network constraints.

Contribution

It introduces a quantum-enhanced leader election algorithm demonstrating how entanglement can boost efficiency within classical asynchronous network limits.

Findings

Quantum entanglement improves leader election efficiency.

FLP impossibility still applies in quantum asynchronous networks.

Entanglement offers performance gains but cannot bypass fundamental constraints.

Abstract

This work addresses the complexities involved in designing distributed quantum algorithms, highlighting that quantum entanglement does not bypass the Fischer-Lynch-Paterson (FLP) impossibility theorem in asynchronous networks. Although quantum resources such as entanglement offer potential speedups, the inherent constraints of classical communication remain. We develop a leader election algorithm as a proof of concept, demonstrating how entanglement can enhance efficiency while still contending with asynchronous delays. This algorithm serves as a foundation for a broader blueprint for future distributed quantum algorithms, providing insights into both the real performance gains and the limitations that entanglement offers in a distributed setting.