Fundamental bound on entanglement generation between interacting Rydberg atoms

• URL: http://arxiv.org/abs/2512.13379v2
• Date: Fri, 19 Dec 2025 14:17:29 GMT
• Title: Fundamental bound on entanglement generation between interacting Rydberg atoms
• Abstract summary: We analytically derive the fundamental lower bound for the preparation fidelity of a maximally-entangled (Bell) state of two atoms involving Rydberg-state interactions.<n>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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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 $E \geq ( 1 + π/2 ) Γ/B$ 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.

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