Cross-platform certification of the qubit space with a minimal number of parameters

• DOI: 10.48550/arxiv.2404.06792
• Publication Date: 2024-01-01
• Authors: Rybotycki, Tomasz; Białecki, Tomasz; Batle, Josep; Tworzydło, Jakub; Bednorz, Adam
• Keywords: Quantum Physics; FOS: Physical sciences; Quantum Physics (quant-ph)

8 pages, 7 figures, 3 tables, added results from IBM Quantum, IQM, IonQ<br/>We demonstrate a determinant dimension witness of a qubit space. Our test has a minimal number of independent parameters. We achieve it by mapping the Bloch sphere $π/2$-rotation axis angle on the non-planar so-called Viviani curve. We ran our test on different platforms: IBM Quantum, IQM Resonance, and IonQ. Our investigations show that while the majority of qubits are passing the test, some fail it by more than ten standard deviations. The nature of those deviations has no simple explanation, as the test is robust against common imperfections.<br/>