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  4. Classical certification of quantum computation under the dimension assumption
 
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Classical certification of quantum computation under the dimension assumption

Citation Link: https://doi.org/10.15480/882.15874
Publikationstyp
Preprint
Date Issued
2024-01-30
Sprache
English
Author(s)
Nöller, Jan  
Miklin, Nikolai  
Quantum-Inspired and Quantum Optimization E-25  
Kliesch, Martin  
Quantum-Inspired and Quantum Optimization E-25  
Gachechiladze, Mariami  
TORE-DOI
10.15480/882.15874
TORE-URI
https://hdl.handle.net/11420/45399
Citation
arXiv: 2401.17006 (2024)
Publisher DOI
10.48550/arXiv.2401.17006
ArXiv ID
2401.17006
Certification of quantum computing components can be crucial for quantum hardware improve- ments and the calibration of quantum algorithms. In this work, we propose an efficient method for certifying single-qubit quantum computation in a black-box scenario under the dimension as- sumption. The method is based on testing deterministic outcomes of quantum computation for predetermined gate sequences. Quantum gates are certified based on input-output correlations, with no auxiliary systems required. We show that a single-qubit universal gate set can be certified and analyze in detail certification of the S gate, for which the required sample complexity grows as O(e-1) with respect to the average gate infidelity e. Our approach takes a first step in bridg- ing the gap between strong notions of certification from self-testing and practically highly relevant approaches from quantum system characterization.
Subjects
Quantum Physics quantum-ph
DDC Class
530: Physics
Funding(s)
Verifizierung und Charakterisierung von Quantentechnologie  
Lizenz
https://creativecommons.org/licenses/by/4.0/
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2401.17006v4.pdf

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