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  • Open Access

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

Cica Gustiani*

Dominik Leichtle†, Jonathan Miller, and Ross Grassie

Daniel Mills‡

Elham Kashefi

  • LIP6, CNRS, Sorbonne Université, 4 Place Jussieu, 75005 Paris, France

  • Quantinuum, Terrington House, 13-15 Hills Road, Cambridge CB2 1NL, United Kingdom

  • School of Informatics, University of Edinburgh, 10 Crichton Street, EH8 9AB Edinburgh, United Kingdom and LIP6, CNRS, Sorbonne Université, 4 Place Jussieu, 75005 Paris, France

  • *Contact author: cicagustiani@gmail.com
  • †Contact author: dominik.leichtle@ed.ac.uk
  • ‡Contact author: daniel.mills@quantinuum.com

Phys. Rev. Lett. 135, 160801 – Published 14 October, 2025

DOI: https://doi.org/10.1103/jpms-v3kw

Abstract

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.

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