Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

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

Chandrashekar Radhakrishnan, Yuhang Zheng, Olivier Marin

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.

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

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.

Paper Structure

This paper contains 19 sections, 2 figures.

Table of Contents

  1. Introduction
  2. Distributed systems - an overview
  3. Modeling the distributed system
  4. Topology
  5. Failure model
  6. Temporal model
  7. Distributed Algorithms
  8. The FLP Impossibility Theorem
  9. Leader election algorithms in classical distributed systems
  10. Ring Topology with Identifiers
  11. Ring with Anonymous Nodes
  12. Algorithms which Tolerate Failures
  13. A Framework for Distributed Quantum Systems
  14. Quantum Leader Election Algorithm
  15. Blueprint for Designing Distributed Quantum Algorithms
  16. ...and 4 more sections

Figures (2)

  • Figure 1: Distributed system in a ring topology
  • Figure 2: A schematic picture of the quantum leader election algorithm.