On-Chip Verified Quantum Computation with an Ion-Trap Quantum Processing Unit

We present a novel approach to cryptographically secure verification and benchmarking of quantum computing, demonstrating our approach on an ion-trap quantum computer. Unlike previous cryptographically secure verification protocols, which typically require quantum communication between client and server, our approach is implemented entirely on chip. This eliminates the need for a quantum capable client, and significantly enhances practicality. We perform tomography to justify the additionally required assumption that the noise is independent of the secret used to prepare the server's single-qubit states. We quantify the soundness error that may be caused by residual secret dependencies. We demonstrate our protocol on the 20-qubit Quantinuum H1-1 ion-trap quantum processing unit, using qubit measurements and resets to construct measurement patterns with up to 52 vertices. To our knowledge, these are the largest verified measurement-based quantum computations performed to date.