Improved analytical bounds on delivery times of long-distance entanglement

This repository contains the code required to reproduce the plots in "Improved analytical bounds on delivery times of long-distance entanglement" (arXiv).

Files overview

The files are structured as follows:

• bounds_plots.py contains the main code to actually generate the plots, as well as the implementation of the formulas in the paper.

The following files

• repeater_chain_analyzer.py
• plotting_tools.py
• probability_tools.py
• repeater_chain_analyzer.py
• werner_tools.py

contain the implementation of the numerical calculations from previous work (arXiv), and are originally from this repository.

Dependencies

The code is written for Python 3 and requires the following packages:

numpy
matplotlib
scipy

Reproducing the plots

The plots contain comparisons between numerical and analytical results. When generating the plots, the numerical results are first calculated and written to csv files in results/. This can take some time.

Figure 4

The plot in Fig. 4 can be generated with

$ python bounds_plots.py mean

Running the numerical calculation can take up to ~40 minutes (depending on hardware). The plot is written to results/mean_bounds_ratios_plot.pdf.

Figure 5

The plots in Fig. 5 can be generated with

$ python bouds_plots.py tail

Running the numerical calculation can take up to ~15 minutes. The plots are written to results/tail_bounds_plot_pswap0.2.pdf and results/tail_bounds_plot_pswap0.5.pdf.