Fundamental error bound for entanglement generation between interacting Rydberg atoms

Georgios Doultsinos; Antonis Delakouras; David Petrosyan

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arXiv · 2512.13379

Fundamental error bound for entanglement generation between interacting Rydberg atoms

Georgios Doultsinos·Antonis Delakouras·David Petrosyan

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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.

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Georgios Doultsinos, Antonis Delakouras, David Petrosyan. 2025-12-15. Fundamental error bound for entanglement generation between interacting Rydberg atoms. https://arxiv.org/abs/2512.13379

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