Two-Qubit Geometric Gates Based on Ground-State Blockade of Rydberg Atoms
Ji-Ze Xu1, Li-Na Sun1, J.-F. Wei1, Y.-L. Du1, Ronghui Luo1, Lei-Lei Yan1*, M. Feng1,2,3,4, and Shi-Lei Su1*
1School of Physics, Zhengzhou University, Zhengzhou 450001, China 2State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy of Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China 3Department of Physics, Zhejiang Normal University, Jinhua 321004, China 4Research Center for Quantum Precision Measurement, Guangzhou Institute of Industry Technology, Guangzhou 511458, China
Abstract：We achieve the robust nonadiabatic holonomic two-qubit controlled gate in one step based on the ground-state blockade mechanism between two Rydberg atoms. By using the Rydberg-blockade effect and the Raman transition mechanism, we can produce the blockade effect of double occupation of the corresponding ground state, i.e., ground-state blockade, to encode the computational subspace into the ground state, thus effectively avoiding the spontaneous emission of the excited Rydberg state. On the other hand, the feature of geometric quantum computation independent of the evolutionary details makes the scheme robust to control errors. In this way, the controlled quantum gate constructed by our scheme not only greatly reduces the gate infidelity caused by spontaneous emission but is also robust to control errors.
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2022, Vol. 39 
