Statistical Methods for Quantum State Verification and Fidelity Estimation

Abstract: The efficient and reliable certification of quantum states is essential for various quantum information processing tasks as well as for the general progress on the implementation of quantum technologies. In the last few years several methods have been introduced which use advanced statistical methods to certify quantum states in a resource‐efficient manner. In this article, a review of the recent progress in this field is presented. How the verification and fidelity estimation of a quantum state can be discussed in the language of hypothesis testing is explained first. Then, various strategies for the verification of entangled states with local measurements or measurements assisted by local operations and classical communication are explained in detail. Finally, several extensions of the problem, such as the certification of quantum channels and the verification of entanglement are discussed.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Statistical Methods for Quantum State Verification and Fidelity Estimation ; day:18 ; month:03 ; year:2022 ; extent:21
Advanced quantum technologies ; (18.03.2022) (gesamt 21)

Creator
Yu, Xiao‐Dong
Shang, Jiangwei
Gühne, Otfried

DOI
10.1002/qute.202100126
URN
urn:nbn:de:101:1-2022032514514234068139
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:27 AM CEST

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