Two-Qubit Geometric Gates Based on Ground-State Blockade of Rydberg Atoms

We achieve the robust nonadiabatic holonomic two-qubit controlled gate in one step based on the groundstate 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 ...