Optimal Probabilistic Quantum Cloning in Rydberg Atoms Based on Dynamically Corrected Geometric Quantum Operations

We propose a scheme to realize the robust optimal probabilistic quantum cloning (PQC) in Rydberg atoms. To enhance the robustness of the PQC circuit, we combine the nonadiabatic holonomic quantum computation (NHQC) method with super-robust dynamically corrected pulses. Our numerical simulations show that our scheme achieves high cloning fidelities under decoherence better than those of the previous scheme. Moreover, our method demonstrates excellent performance against decoherence and the X error. Overall, our approach is promising for robust PQC.