Fundamental error bound for entanglement generation between interacting Rydberg atoms

Abstract:We analytically derive the lower error bound for the preparation of any maximally entangled state of two atoms involving Rydberg-state interactions. This fundamental bound represents the minimum achievable error $E \geq ( 1 + \pi/2 ) \Gamma/B$ due to spontaneous decay $\Gamma$ of the Rydberg states and their finite interaction strength $B$, assuming that all other technical errors can be eliminated. 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.

arXiv:2512.13379 [quant-ph]

(or arXiv:2512.13379v3 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2512.13379 Focus to learn more arXiv-issued DOI via DataCite

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.