Title | Validating and certifying stabilizer states |
Publication Type | Journal Article |
Year of Publication | 2019 |
Authors | A. Kalev, A. Kyrillidis, and N. M. Linke |
Journal | Phys. Rev. A |
Volume | 99 |
Pagination | 042337 |
Date Published | APR 30 |
Type of Article | Article |
ISSN | 2469-9926 |
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. |
DOI | 10.1103/PhysRevA.99.042337 |