Implementation of non-local arbitrary two-qubit controlled gates via geometric quantum computation with Rydberg anti-blockade
The scheme uses non-adiabatic holonomic quantum computation combined with Rydberg anti-blockade to create high-fidelity, arbitrary two-qubit controlled gates. This method achieves robust operations even with laser errors and noise, reaching fidelities of 0.9977. It extends to non-local gates via entanglement teleportation and enables systematic transformations between four-qubit entangled states like GHZ and cluster states.