Simulation of Two-Qubit Grover Algorithm in MBQC with Universal Blind Quantum Computation
Circuit-based quantum cloud platforms face significant challenges in efficiently supporting measurement-based quantum computation (MBQC) with strong privacy guarantees. Method: We propose a method to fully simulate blind MBQC—including graph-state preparation, adaptive measurements, and the universal blind quantum computation (UBQC) protocol—on standard gate-model quantum hardware, using the two-qubit Grover algorithm as a concrete implementation. Contribution/Results: This work presents the first end-to-end experimental realization of blind MBQC on real circuit-model quantum processors, achieving dual privacy protection for both input data and computational functionality. The implementation demonstrates feasibility on current quantum cloud hardware, thereby overcoming a critical bottleneck in migrating MBQC toward practical quantum cloud computing. Our approach establishes a scalable technical pathway for deploying privacy-sensitive quantum algorithms in real-world quantum cloud environments.