Bonn 2025 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 1: Certification and Benchmarking of Quantum Systems
QI 1.1: Hauptvortrag
Montag, 10. März 2025, 11:00–11:30, HS IX
Sound and Efficient Quantum System Quizzing — •Mariami Gachechiladze1, Jan Nöller1, Martin Kliesch2, and Nikolai Miklin2 — 1TU Darmstadt, Darmstadt, Germany — 2TUHH, Hamburg, Germany
The rapid advancement of quantum hardware necessitates the development of reliable methods to certify their correct functioning. Existing certification techniques often fall short: they are either prohibitively expensive and rely on flawless state preparation and measurement (SPAM), or they fail to provide robust guarantees. While current SPAM-robust methods are complete, they lack soundness, meaning they do not ensure the correct implementation of quantum devices. In our recent work, we introduce quantum system quizzing, a simple yet sound certification protocol that enables the certification of entire quantum models in a black-box scenario under the dimension assumption. The protocol identifies deterministic input-output correlations of the ideal target model, which are tested during each round. This black-box approach inherently eliminates SPAM errors. For single-qubit models, we derive rigorous sampling complexity guarantees. Most notably, we establish an inverse linear relationship between average gate infidelities and the number of successful protocol rounds, making the method highly practical for contemporary experimental setups. For multi-qubit quantum computers, we provide sound certification proof in the infinite statistics regime and discuss the methods to derive sample complexity results in the finite statistics regime.
Keywords: Sound certification; Sample complexity; Quantum System Quizzing