We analytically derive the fundamental lower bound for the preparation fidelity of a maximally-entangled (Bell) state of two atoms involving Rydberg-state interactions. This bound represents the minimum achievable error E≥(1+π/2)Γ/B due to spontaneous decay Γ of the Rydberg states and their finite interaction strength B. Using quantum optimal control methods, we identify laser pulses for preparing a maximally-entangled state of a pair of atomic qubits with an error only 1% above the derived fundamental bound.
@article{arxiv.2512.13379,
title = {Fundamental bound on entanglement generation between interacting Rydberg atoms},
author = {Georgios Doultsinos and Antonis Delakouras and David Petrosyan},
journal= {arXiv preprint arXiv:2512.13379},
year = {2025}
}