We finished a thorough analysis on the effect of laser noise on 1- and 2-photon Rabi oscillations, with both theoretical analysis and numerical simulations. We developed a theory to directly match a laser's frequency noise power spectral density to its self-heterodyne spectrum measured in labs. We also predicted the error generated by white noise and spectrums with servo-bumps, and our results have a good match with numerical simulations. A quasi-static theory is also proposed to estimate the error under certain limits, and has demonstrated good match with the numerics.
We design a protocol for multi-qubit neutral atom gates. The protocol implements symmetric adiabatic pulses on the k+1 atoms in the system to implement CkZ gates and CZk gates. Equal Rydberg coupling strengths between all qubits are needed for CkZ gates, and zero coupling between target qubits is needed for CZk gates. We show that fidelity F >0.99 can be achieved for both type of gates, with gate times ~0.5 μs for k<=4. Our analysis is performed with experimentally realistic parameters.