Thermal-dephasing-tolerant generation of mesoscopic superposition states with Rydberg dressed blockade

Multipartite entangled states involving nonlocality are one of the most fascinating characteristics of quantum mechanics. In this work we propose a thermal-dephasing-tolerant generation of mesoscopic entangled states with Rydberg dressed atoms. We encode a logical state on dressed states rather than Rydberg states. Such treatment can increase the lifetime of multipartite entanglement coherence to around three times compared to the Rydberg-state-coding one at the same system size and therefore induce solid fidelities of mesoscopic superposition states generation. The current work theoretically verifies the advantages of using Rydberg dressed states in many-body quantum entanglement, which is helpful for large-scale quantum computation and many-body Rydberg quantum simulation.