arxiv-2311.00806

Scripts used in arXiv:2311.00806 for finding upper and lower bounds of the separable bound of the precession protocol. See the paper for more detail.

https://github.com/not-fred/arxiv-2311.00806

Science Score: 54.0%

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Repository

Scripts used in arXiv:2311.00806 for finding upper and lower bounds of the separable bound of the precession protocol. See the paper for more detail.

Basic Info

Host: GitHub
Owner: not-fred
Language: Julia
Default Branch: main
Size: 346 KB

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Created over 2 years ago · Last pushed almost 2 years ago

Metadata Files

Readme Citation

Script used in: Certification of genuine multipartite entanglement in spin ensembles with measurements of total angular momentum [arXiv-2311.00806]

Script used in arXiv:2311.00806 for finding upper and lower bounds of the separable bound of the precession protocol. See the paper for more detail.

Usage

For upper bounds julia SDP.jl d₁ d₂ K₁ K₂ [file] For lower bounds julia SPI.jl d₁ d₂ K₁ K₂ [file]

Arguments

d₁::Integer: Dimension d₁ = 2j₁ + 1 of the first spin system
d₂::Integer: Dimension d₁ = 2j₂ + 1 of the first spin system
K₁::Integer: Minimum (odd) number of measurement settings
K₂::Integer: Maximum (odd) number of measurement settings
file::String: Data will be saved in $file-K$K.csv. Returns to standard output if none specified

Package versions

For the reported results, version 1.6.6 of julia was used, with the packages - JuMP: v1.12.0 - COSMO: v0.8.8 - SCS: v1.1.2 - WignerSymbols: v2.0.0 - Memoization: v0.2.1 - ArnoldiMethod: v0.2.0

Generated Data

The generated data used in the paper is also available in the data folder. SDP-K$K.csv and SPI-K$K.csv were plotted in Figs. 2–5, 8, A1–A3; while SDP-Spin-One.csv and SPI-Spin-One.csv were plotted in Fig. 6.

Owner

Name: Zaw Lin Htoo
Login: not-fred
Kind: user

Repositories: 2
Profile: https://github.com/not-fred

Citation (CITATION.cff)

cff-version: 1.2.0
title: >-
  Scripts used in: Certification of genuine multipartite
  entanglement in spin ensembles with measurements of
  total angular momentum
  [arXiv-2311.00806]
message: >-
  If you use this software, please cite it using the
  metadata from this file.
type: software
authors:
  - given-names: Lin Htoo
    family-names: Zaw
    orcid: 'https://orcid.org/0000-0003-1559-6903'
repository-code: 'https://github.com/not-fred/arXiv-2311.00806'
abstract: >-
  Scripts used in
  [arXiv:2311.00806](https://arxiv.org/abs/2311.00806) for
  finding upper and lower bounds of the separable bound of the
  precession protocol. See the paper for more detail.

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