Entanglement distribution modeling with quantum memories in a global and local clock system

Abstract: We report an innovative model for predicting entanglement distribution between end parties of a quantum network using our in-house simulation algorithm. Our implementation is based on stochastic methods that are built upon a unique global and local clock system for monitoring expectations with finite quantum memory (QM) parameters. This allows us to tabulate rates with independently operating quantum repeater nodes in a distribution chain. The numerical simulations presented utilize a stochastic modeling of QM efficiency and storage lifetime. The findings presented reveal the translation of the effects of QM lifetime on the spread of time needed for successful entanglement distribution between end parties. Our model based on this transformative clock scheme will make an impactful addition to quantum network simulators platforms.