Certifying the qubit space with a minimal number of parameters

Tomasz Rybotycki, Tomasz Białecki, Josep Batle, Jakub Tworzydło, Adam Bednorz

Published 2024-04-10Version 1

We present a precise certification test of the dimension of a qubit system on the public IBM quantum computer, using the determinant dimension witness and with a minimal number of independent parameters. We achieve it by mapping the Bloch sphere $\pi/2$-rotation axis angle on the nonplanar so-called Viviani curve. During the implementation of the rotation by single qubit gates on IBM devices, we found the majority of qubits passing the test, although some specific qubits failed by more than ten standard deviations. The nature of those deviations has no simple explanation, as the test is robust against common non-idealities.