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

TL;DR

This paper introduces an on-chip verification method for quantum computation implemented on an ion-trap quantum computer, enabling practical, large-scale measurement-based quantum verification without external quantum communication.

Contribution

It presents the first on-chip verification protocol for quantum computing, demonstrated on a 20-qubit ion-trap device, eliminating the need for a quantum client and expanding verification capabilities.

Findings

Successfully verified measurement-based quantum computations with up to 52 vertices.

Demonstrated the largest verified quantum computations to date.

Validated the protocol's soundness and noise assumptions through tomography.

Abstract

We present and experimentally demonstrate a novel approach to verification and benchmarking of quantum computing, implementing it on an ion-trap quantum computer. Unlike previous information-theoretically 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 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 which 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. Our results pave the way for more accessible and efficient verification and benchmarking strategies in near-term quantum devices, enabling robust performance assessment without the added cost of external quantum infrastructure.