Merge pull request #2 from jan-o-e/jan-o-e-patch-1

Update README.md

README.md

@@ -2,14 +2,23 @@
 
 [![Generic badge](https://img.shields.io/badge/arXiv-2305.04899-<COLOR>.svg)](https://arxiv.org/abs/2305.04899)
 
-Code associated with publication on the determination of mode entanglement in bosonic and fermionic Harmonium in the presence of local super-selection rules.
+This repository contains code associated with a publication which describes the determination of mode entanglement in bosonic and fermionic Harmonium in the presence of local super-selection rules.
 
 The codebase contains a combination of Mathematica notebooks which were used to analytically calculate integrals corresponding to expectation values of the creation/annihilation operators associated with certain mode combinations in various spin configurations and for various particle numbers/spatial dimensions. N always denotes the number of particles and d the spatial dimension so N4d1 would correspond to a one-dimensional system with 4 particles, m corresponds to the mode index, such that m01 in a mode-mode entangled system would correspond to the modes indexed 0 and 1. This consisted in the bulk of the work and the majority of files are Mathematica notebooks labelled in this fashion. "N-RDO" corresponds to the N particle reduced density operator, the calculation of which is required for the determination of all the desired matrix elements.
 
-In some cases, the relative entropy of entanglement was calculated numerically with Matlab where we resorted to an [optimisation package](https://github.com/markwgirard/relEntropy) for input bipartite matrices. The plots shown in the paper were generated in python and are also shown.
+In some cases, the relative entropy of entanglement was calculated numerically with Matlab where we resorted to an [optimisation routine](https://github.com/markwgirard/relEntropy) for input bipartite matrices. The plots shown in the paper were generated in python and are also shown.
 
  For suspected errors or suggestions please get in touch with [me.]([email protected])
 
+ ## Requirements
+
+<ul>
+  <li>Mathematica 13 </li>
+  <li>Matlab</li>
+  <li>Python 3.8++</li>
+  <li>Matplotlib 3.5++</li>
+</ul>
+
  ## References
 
  Ernst, J. O., & Tennie, F. (2022). Mode Entanglement in Fermionic and Bosonic Harmonium (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2211.09647