Code, data, and figures for "Two-qubit gate protocols with microwave-dressed Rydberg ions in a linear Paul trap"

Code and script used to produce the data and figures for the journal article of the same name [10.48550/arXiv.2412.13699].

Title: Two-qubit gate protocols with microwave-dressed Rydberg ions in a linear Paul trap

Authors: Joseph W. P. Wilkinson, Katrin Bolsmann, Thiago L. M. Guedes, Markus Müller, and Igor Lesanovsky

The files are written in either Mathematica (.nb) or Python (.py, .ipynb) and are appropriately commented where necessary. The function of each file is summarised as follows; more details can be found in the respective files:

The Mathematica (.nb) file was used to compute the eigenvalues and eigenfunctions of the Hamiltonian for an alkaline earth metal ion using a parametric model potential. These eigenvalues and eigenfunctions were then used to calculate energy level differences and radial and angular matrix elements associated to the internal electronic degrees of freedom.

The Python (.py) files include all the functions needed for optimizing the protocols. The definitions of the Hamiltonian and the pulse protocols are included in PulseHamiltonian.py. PulseOptimization.py includes all the functions needed for the optimization.

The Jupyter notebook (.ipynb) files starting with 'Figure_X' were used to create figures. The '_optimization_X' files were used to optimize the gate protocols, once with the use of single qubit rotations (SQR) and once without. The _fidelity_vs_tau.ipynb optimizes Protocol B by iterating through several gate durations tau thus generating the data used for Figure 10.