|Title||Validating and Certifying Stabilizer States|
|Publication Type||Journal Article|
|Year of Publication||2019|
|Authors||Kalev, A, Kyrillidis, A|
|Journal||Phys. Rev. A|
We propose a measurement scheme that validates the preparation of a target n-qubit stabilizer state. The scheme involves a measurement of n Pauli observables, a priori determined from the target stabilizer and which can be realized using single-qubit gates. Based on the proposed validation scheme, we derive an explicit expression for the worse-case fidelity, i.e., the minimum fidelity between the target stabilizer state and any other state consistent with the measured data. We also show that the worse-case fidelity can be certified, with high probability, using O(n) copies of the state of the system per measured observable.