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@GraphQuantum

The GraphQuantum Project

Algorithms and tools for quantum network analysis via spectral graph theory.

Welcome to The GraphQuantum Project! 🐈 🌸 🪄

The GraphQuantum Project is a collection of packages of algorithms we have produced over the course of our research into quantum spin networks and their corresponding graph spectra, primarily written in Julia. We also, in the examples/ and results/ folders of our repositories, include key numerical results and data obtained on various graph representations of quantum networks. So far, we are working on packaging:

  • The first non-naïve deterministic algorithm to compute graph S-bandwidth, an indicator of transfer fidelity between qubits
  • A novel optimization approach using the Shubert-Piyavskii method to investigate perfect state transfer on quantum networks
  • A method for tracking and visualizing state transfer on a quantum network over a finite interval, with reasonable granularity

Credits

Created by Luis M. B. Varona, Dr. Nathaniel Johnston, and Dr. Sarah Plosker.

Popular repositories Loading

  1. .github .github Public

    Algorithms and tools for quantum network analysis via spectral graph theory.

  2. GraphQuantum.github.io GraphQuantum.github.io Public

    Algorithms and tools for quantum network analysis via spectral graph theory.

  3. SDiagonalizability.jl SDiagonalizability.jl Public

    A dynamic algorithm to minimize or recognize the S-bandwidth of an undirected graph, written in Julia.

    Julia

  4. QuantumStateTransfer.jl QuantumStateTransfer.jl Public

    A Julia toolbox for modeling state transfer on quantum networks.

    Julia

Repositories

Showing 4 of 4 repositories
  • SDiagonalizability.jl Public

    A dynamic algorithm to minimize or recognize the S-bandwidth of an undirected graph, written in Julia.

    GraphQuantum/SDiagonalizability.jl’s past year of commit activity
    Julia 0 MIT 0 1 0 Updated Sep 20, 2025
  • QuantumStateTransfer.jl Public

    A Julia toolbox for modeling state transfer on quantum networks.

    GraphQuantum/QuantumStateTransfer.jl’s past year of commit activity
    Julia 0 MIT 0 0 1 Updated Aug 26, 2025
  • .github Public

    Algorithms and tools for quantum network analysis via spectral graph theory.

    GraphQuantum/.github’s past year of commit activity
    0 0 0 0 Updated May 21, 2025
  • GraphQuantum.github.io Public

    Algorithms and tools for quantum network analysis via spectral graph theory.

    GraphQuantum/GraphQuantum.github.io’s past year of commit activity
    0 0 0 0 Updated Apr 28, 2025

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