Requirements for Deterministic Quantum Teleportation over Metropolitan and Long-Distance Backbone

We investigate high-level parameter trade-offs in the requirements for performing quantum teleportation deterministically with an average fidelity exceeding the classical bound of 2/3 on both metropolitan-scale and long-distance quantum networks. In particular, we examine the interplay between the coherence time of quantum memory, the rate and fidelity at which entanglement can be generated. We do so for two different scenarios: one where the to-be-teleported state needs to be stored in memory until the required entanglement is established, and one where this is not the case. Using both simplified analytical models and an extensive simulation framework implemented using NetSquid, a discrete-event simulator for quantum networks, and using baseline parameters based on the state of the art of networked ion traps and atomic-ensemble memories, we identify the requirements imposed on the metropolitan link by the long-distance setup to enable quantum teleportation. Our work sheds light on the trade-offs between different hardware improvements that could be made in order to realize quantum teleportation in deployed quantum networks.