Distance-Independent Entanglement Generation in a Quantum Network using Space-Time Multiplexed Greenberger-Horne-Zeilinger (GHZ) Measurements

Ashlesha Patil, Joshua I. Jacobson, Emily Van Milligen, Don Towsley, Saikat Guha

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In a quantum network that successfully creates links - shared Bell states between neighboring repeater nodes - with probability p in each time slot, and performs Bell State Measurements at nodes with success probability q < 1, the end-to-end entanglement generation rate drops exponentially with the distance between consumers, despite multi-path routing. If repeaters can perform multi-qubit projective measurements in the GHZ basis that succeed with probability q, the rate does not change with distance in a certain (p,q) region, but decays exponentially outside. This region where the distance-independent rate occurs is the super-critical region of a new percolation problem. We extend this GHZ protocol to incorporate a time-multiplexing blocklength k, the number of time slots over which a repeater can mix-and-match successful links to perform fusion on. As k increases, the super-critical region expands. For a given (p,q), the entanglement rate initially increases with k, and once inside the super-critical region for a high enough k, it decays as 1/k GHZ states per time slot. When memory coherence time exponentially distributed with mean μ is incorporated, it is seen that increasing k does not indefinitely increase the super-critical region; it has a hard μ-dependent limit. Finally, we find that incorporating space-division multiplexing, i.e., running the above protocol independently in up to d disconnected network regions, where d is the network's node degree, one can go beyond the 1 GHZ state per time slot rate that the above randomized local-link-state protocol cannot surpass. As (p,q) increases, one can approach the ultimate min-cut entanglement-generation capacity of d GHZ states per slot.

Original languageEnglish (US)
Title of host publicationProceedings - 2021 IEEE International Conference on Quantum Computing and Engineering, QCE 2021
EditorsHausi A. Muller, Greg Byrd, Candace Culhane, Travis Humble
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages334-345
Number of pages12
ISBN (Electronic)9781665416917
DOIs
StatePublished - 2021
Event2nd IEEE International Conference on Quantum Computing and Engineering, QCE 2021 - Virtual, Online, United States
Duration: Oct 17 2021Oct 22 2021

Publication series

NameProceedings - 2021 IEEE International Conference on Quantum Computing and Engineering, QCE 2021

Conference

Conference2nd IEEE International Conference on Quantum Computing and Engineering, QCE 2021
Country/TerritoryUnited States
CityVirtual, Online
Period10/17/2110/22/21

Keywords

  • GHZ projections
  • Quantum networks
  • entanglement routing
  • percolation
  • time-multiplexing

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computational Mathematics
  • Control and Optimization
  • Modeling and Simulation

Fingerprint

Dive into the research topics of 'Distance-Independent Entanglement Generation in a Quantum Network using Space-Time Multiplexed Greenberger-Horne-Zeilinger (GHZ) Measurements'. Together they form a unique fingerprint.

Cite this