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Simulation of Entanglement-Enabled Connectivity in QLANs using SeQUeNCe

Francesco Mazza, Caitao Zhan, Joaquin Chung, Rajkumar Kettimuthu, Marcello Caleffi, Angela Sara Cacciapuoti

TL;DR

This paper discusses the implementation of the QLAN model in SeQUeNCe, a discrete-event simulator of quantum networks, and provides an analysis of how network nodes interact, with an emphasis on the interplay between quantum operations and classical signaling within the network.

Abstract

Quantum Local Area Networks (QLANs) represent a promising building block for larger scale quantum networks with the ambitious goal -- in a long time horizon -- of realizing a Quantum Internet. Surprisingly, the physical topology of a QLAN can be enriched by a set of artificial links, enabled by shared multipartite entangled states among the nodes of the network. This novel concept of artificial topology revolutionizes the possibilities of connectivity within the local network, enabling an on-demand manipulation of the artificial network topology. In this paper, we discuss the implementation of the QLAN model in SeQUeNCe, a discrete-event simulator of quantum networks. Specifically, we provide an analysis of how network nodes interact, with an emphasis on the interplay between quantum operations and classical signaling within the network. Remarkably, through the modeling of a measurement protocol and a correction protocol, our QLAN model implementation enables the simulation of the manipulation process of a shared entangled quantum state, and the subsequent engineering of the entanglement-based connectivity. Our simulations demonstrate how to obtain different virtual topologies with different manipulations of the shared resources and with all the possible measurement outcomes, with an arbitrary number of nodes within the network.

Simulation of Entanglement-Enabled Connectivity in QLANs using SeQUeNCe

TL;DR

This paper discusses the implementation of the QLAN model in SeQUeNCe, a discrete-event simulator of quantum networks, and provides an analysis of how network nodes interact, with an emphasis on the interplay between quantum operations and classical signaling within the network.

Abstract

Quantum Local Area Networks (QLANs) represent a promising building block for larger scale quantum networks with the ambitious goal -- in a long time horizon -- of realizing a Quantum Internet. Surprisingly, the physical topology of a QLAN can be enriched by a set of artificial links, enabled by shared multipartite entangled states among the nodes of the network. This novel concept of artificial topology revolutionizes the possibilities of connectivity within the local network, enabling an on-demand manipulation of the artificial network topology. In this paper, we discuss the implementation of the QLAN model in SeQUeNCe, a discrete-event simulator of quantum networks. Specifically, we provide an analysis of how network nodes interact, with an emphasis on the interplay between quantum operations and classical signaling within the network. Remarkably, through the modeling of a measurement protocol and a correction protocol, our QLAN model implementation enables the simulation of the manipulation process of a shared entangled quantum state, and the subsequent engineering of the entanglement-based connectivity. Our simulations demonstrate how to obtain different virtual topologies with different manipulations of the shared resources and with all the possible measurement outcomes, with an arbitrary number of nodes within the network.

Paper Structure

This paper contains 10 sections, 2 equations, 4 figures, 2 algorithms.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Introduction to Graph states
  4. Introduction to QLANs
  5. QLAN Module in SeQUeNCe
  6. QLAN Module Design
  7. Measurement Protocol
  8. Correction Protocol
  9. Module Validation
  10. Conclusion

Figures (4)

  • Figure 1: Schematic representation of the mapping between graph states and graph theory tools (a) under the application of Pauli measurements (b).
  • Figure 2: Some examples of the resulting graph states after the application of Pauli measurements and corrections.
  • Figure 3: QLAN measurement protocol and correction protocol interaction. Please note that the represented interaction happens for each client of the network. A detailed description of the implementation of each protocol is given in Alg.\ref{['alg:01']} and \ref{['alg:02']}.
  • Figure 4: Resulting graph states in a $4$-clients topology after the application of Pauli measurements and corrections.

Theorems & Definitions (1)

  • Remark