Complete and nondestructive distinguishment of many-body Rydberg entanglement via robust geometric quantum operations
F.-Q. Guo, Jin‐Lei Wu, Xiaoyu Zhu, Z. Jin, Yong Zeng, Shou Zhang, L.-L. Yan, Mang Feng, Shi‐Lei Su
Abstract
Practical application of quantum information requires distinguishing multipartite entanglement in a complete, nondestructive, and robust way. Here we explore the possibility to accomplish such a task using Rydberg atoms based on blockade effect and user-defined-passage-based geometric quantum logic gates. Our proposal focuses on distinguishing groups of many-body Greenberger-Horne-Zeilinger (GHZ) states and groups of cluster states, and for bipartite cases distinguishing Bell states, which are basic ingredients of quantum information processing. We validate our proposal by numerical results, showing complete and nondestructive accomplishment of distinguishing above multipartite entangled states and also robustness against decoherence. We exemplify two practical applications regarding quantum teleportation and quantum dense coding to demonstrate the value of our proposal. This idea is scalable and experimentally relevant and can be readily generalized to other quantum information candidates, such as superconducting circuits, NV centers, as well as trapped-ion systems with different-level structures.