Unselective ground-state blockade of Rydberg atoms for implementing quantum gates
Jin-Lei Wu, Yan Wang, Jin-Xuan Han, Shi-Lei Su, Yan Xia, Yongyuan, Jiang, and Jie Song

TL;DR
This paper introduces an unselective ground-state blockade (UGSB) regime for Rydberg atoms, enabling robust, one-step SWAP gates and a three-atom Fredkin gate, addressing common issues in RAB-based quantum gate implementations.
Contribution
The paper proposes a novel UGSB regime within Rydberg antiblockade to implement robust quantum gates without individual atom addressing.
Findings
Successful implementation of a one-step SWAP gate using UGSB.
Enhanced robustness of the dynamical SWAP gate compared to nonadiabatic holonomic gates.
Feasibility of a three-atom Fredkin gate combining Rydberg blockade and RAB.
Abstract
A dynamics regime of Rydberg atoms, unselective ground-state blockade (UGSB), is proposed in the context of Rydberg antiblockade (RAB), where the evolution of two atoms is suppressed when they populate in an identical ground state. UGSB is used to implement a SWAP gate in one step without individual addressing of atoms. Aiming at circumventing common issues in RAB-based gates including atomic decay, Doppler dephasing, and fluctuations in the interatomic coupling strength, we modify the RAB condition to achieve a dynamical SWAP gate whose robustness is much greater than that of the nonadiabatic holonomic one in the conventional RAB regime. In addition, on the basis of the proposed SWAP gates, we further investigate the implementation of a three-atom Fredkin gate by combining Rydberg blockade and RAB. The present work may facilitate to implement the RAB-based gates of strongly coupled…
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