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Theory of quantum system certification
Publikationstyp
Journal Article
Date Issued
2021-01-29
Sprache
English
Author(s)
Journal
Volume
2
Issue
1
Article Number
010201
Citation
PRX Quantum 2 (1): 010201 (2021)
Publisher DOI
Scopus ID
Publisher
American Physical Society
The precise control of complex quantum systems promises numerous technological applications including digital quantum computing. The complexity of such devices renders the certification of their correct functioning a challenge. To address this challenge, numerous methods were developed in the last decade. In this tutorial, we explain prominent protocols for certifying the physical layer of quantum devices described by quantum states and processes. Such protocols are particularly important in the development of near-term devices. Specifically, we discuss methods of direct quantum-state certification, direct-fidelity estimation, shadow-fidelity estimation, direct quantum-process certification, randomized benchmarking, and cross-entropy benchmarking. Moreover, we provide an introduction to powerful mathematical methods, which are widely used in quantum-information theory, in order to derive theoretical guarantees for the protocols.
DDC Class
530: Physik