Distinguishment of Greenberger-Horne-Zeilinger States in Rydberg Atoms via Noncyclic Geometric Quantum Computation

Since quantum entanglement plays a crucial role in quantum information processing, analyzing entangled states is indispensable for practical applications. Here a simple and direct protocol to distinguish arbitrary N-qubit Greenberger-Horne-Zeilinger (GHZ) states by novel nonadiabatic noncyclic geometric quantum computation using Rydberg atoms is put forward. The Bell states can also be distinguished completely using this way. The protocol is justified by numerical simulation for Bell states and N-qubit GHZ states, which evaluates the robustness and shows gratifying results. In addition, the idea is flexible, that is, available in any platform. Due to its simplicity and easy operation, the scheme would be very useful in quantum information science both theoretically and experimentally.