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Validating and certifying stabilizer states

TitleValidating and certifying stabilizer states
Publication TypeJournal Article
Year of Publication2019
AuthorsA. Kalev, A. Kyrillidis, and N. M. Linke
JournalPhys. Rev. A
Volume99
Pagination042337
Date PublishedAPR 30
Type of ArticleArticle
ISSN2469-9926
Abstract

We propose a measurement scheme that validates the preparation of an n-qubit stabilizer state. The scheme involves a measurement of n Pauli observables, a priori determined from the stabilizer state and which can be realized using single-qubit gates. Based on the proposed validation scheme, we derive an explicit expression for the worst-case fidelity, i.e., the minimum fidelity between the stabilizer state and any other state consistent with the measured data. We also show that the worst-case fidelity can be certified, with high probability, using O(n(2)) copies of the state.

DOI10.1103/PhysRevA.99.042337