BellDiagonalQudits

BellDiagonalQudits: A package for entanglement analyses of mixed maximally entangled qudits - Published in JOSS (2023)

https://github.com/kungfugo/belldiagonalqudits.jl

Science Score: 93.0%

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    Found 12 DOI reference(s) in README and JOSS metadata
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Repository

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  • Stars: 10
  • Watchers: 2
  • Forks: 2
  • Open Issues: 0
  • Releases: 10
Created over 3 years ago · Last pushed about 1 year ago
Metadata Files
Readme License Code of conduct

README.md

CI codecov DOI DOI

BellDiagonalQudits.jl

Generate and analyze Bell diagonal Qudits with Julia

A package for generation and entanglement classification of Bell diagonal quantum states.

Bell diagonal states are generated as mixtures maximally entangled Bell states, which are related by Weyl transformations. The special propterties of these states, e.g. symmetries, allow efficient methods to be leveraged for the detection of entanglement, including its generally hard to detect form of PPT/bound entanglement.

This package provides methods to sample states, to numerically generate entanglement witnesses and to apply and extend further criteria to detect entanglement or separability in general dimension. For a precise description of implemented methods and related research results see [1], [2], [3] and the references therein.

Package Features

  • Create mixtures of maximally entangled Bell states based on Weyl transformations in any dimension
  • Classify Bell diagonal states as separable, PPT/bound entangled or NPT/free entangled
  • Generate numerical entanglement witnesses for Bell diagonal states
  • Generate entanglement conserving symmetries and use them for entanglement classification
  • Execute recurrence-based entanglement distillation.

Installation

BellDiagonalQudits can be installed using the Julia package manager. From the Julia REPL, type ] to enter the Pkg REPL mode and run

pkg> add BellDiagonalQudits

The package can be loaded via

julia julia> using BellDiagonalQudits

Documentation

Documentation is available at https://kungfugo.github.io/BellDiagonalQudits.jl/dev/

References

[1] Popp, C., Hiesmayr, B.C., Almost complete solution for the NP-hard separability problem of Bell diagonal qutrits, Sci Rep 12, 12472 (2022), https://doi.org/10.1038/s41598-022-16225-z

[2] Baumgartner, B., Hiesmayr, B.C., Narrenhofer, H. A special simplex in the state space for entangled qudits, J. Phys. A Math. Theor. 40, 7919 (2007), https://doi.org/10.1088/1751-8113/40/28/s03

[3] Popp, C., Hiesmayr, B.C., Bound Entanglement of Bell Diagonal Pairs of Qutrits and Ququarts: A Comparison, arXiv (2022), https://arxiv.org/abs/2209.15267

[4] Popp, C., Sutter, T.C., Hiesmayr, B.C., A Novel Stabilizer-based Entanglement Distillation Protocol for Qudits, arXiv (2024), https://arxiv.org/abs/2408.02383

Contributions

Any contribution to BellDiagonalQudits.jl is welcome in the following ways:

  • Reporting bugs and suggestions in the issues section of the project's Github.
  • Modifying the code or documentation with a pull request. To contribute to the package, fork the repository on GitHub, clone it and make modifications on a new branch. Once your changes are made, push them on your fork and create the Pull Request on the main repository.

Owner

  • Login: kungfugo
  • Kind: user

JOSS Publication

BellDiagonalQudits: A package for entanglement analyses of mixed maximally entangled qudits
Published
January 30, 2023
Volume 8, Issue 81, Page 4924
Authors
Christopher Popp ORCID
Faculty of Physics, University of Vienna, Währingerstrasse 17, 1090, Vienna Austria
Editor
Jarvist Moore Frost ORCID
Tags
quantum information quantum physics entanglement separability problem Bell states

GitHub Events

Total
  • Create event: 1
  • Commit comment event: 3
  • Release event: 1
  • Issues event: 3
  • Watch event: 3
  • Issue comment event: 3
  • Push event: 2
Last Year
  • Create event: 1
  • Commit comment event: 3
  • Release event: 1
  • Issues event: 3
  • Watch event: 3
  • Issue comment event: 3
  • Push event: 2

Committers

Last synced: 7 months ago

All Time
  • Total Commits: 80
  • Total Committers: 3
  • Avg Commits per committer: 26.667
  • Development Distribution Score (DDS): 0.25
Past Year
  • Commits: 3
  • Committers: 1
  • Avg Commits per committer: 3.0
  • Development Distribution Score (DDS): 0.0
Top Committers
Name Email Commits
Popp, Christopher c****p@d****e 60
Chris c****p@g****e 19
Jarvist Moore Frost j****t@g****m 1
Committer Domains (Top 20 + Academic)

Issues and Pull Requests

Last synced: 6 months ago

All Time
  • Total issues: 5
  • Total pull requests: 2
  • Average time to close issues: 6 months
  • Average time to close pull requests: 4 minutes
  • Total issue authors: 4
  • Total pull request authors: 1
  • Average comments per issue: 3.4
  • Average comments per pull request: 0.0
  • Merged pull requests: 1
  • Bot issues: 0
  • Bot pull requests: 0
Past Year
  • Issues: 2
  • Pull requests: 0
  • Average time to close issues: about 1 month
  • Average time to close pull requests: N/A
  • Issue authors: 2
  • Pull request authors: 0
  • Average comments per issue: 1.0
  • Average comments per pull request: 0
  • Merged pull requests: 0
  • Bot issues: 0
  • Bot pull requests: 0
Top Authors
Issue Authors
  • kungfugo (2)
  • suttert95 (1)
  • JuliaTagBot (1)
  • sikorsl1 (1)
Pull Request Authors
  • kungfugo (2)
Top Labels
Issue Labels
bug (2)
Pull Request Labels

Packages

  • Total packages: 1
  • Total downloads:
    • julia 1 total
  • Total dependent packages: 0
  • Total dependent repositories: 0
  • Total versions: 10
juliahub.com: BellDiagonalQudits
  • Versions: 10
  • Dependent Packages: 0
  • Dependent Repositories: 0
  • Downloads: 1 Total
Rankings
Dependent repos count: 9.9%
Average: 38.8%
Dependent packages count: 38.9%
Stargazers count: 52.9%
Forks count: 53.5%
Last synced: 6 months ago

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