https://doi.org/10.1140/epjqt/s40507-024-00230-4
Research
Precise certification of a qubit space
1
Faculty of Physics, University of Warsaw, ul. Pasteura 5, PL02-093, Warsaw, Poland
2
Systems Research Institute, Polish Academy of Sciences, Newelska 6, PL01-447, Warsaw, Poland
3
Nicolaus Copernicus Astronomical Center, Polish Academy of Sciences, Bartycka 18, PL00-716, Warsaw, Poland
4
Center of Excellence in Artificial Intelligence, AGH University, al. Mickiewicza 30, PL30-059, Cracow, Poland
5
Departament de Física, Universitat de les Illes Balears, E-07122, Palma de Mallorca, Balearic Islands, Spain
6
Institut d’Aplicacions Computacionals de Codi Comunitari (IAC3), Universitat de les Illes Balears, E-07122, Palma de Mallorca, Balearic Islands, Spain
7
CRISP - Centre de Recerca Independent de sa Pobla, E-07420, sa Pobla, Balearic Islands, Spain
Received:
24
July
2023
Accepted:
6
March
2024
Published online:
19
March
2024
We demonstrate an implementation of the precise test of dimension on the qubit, using the public IBM quantum computer, using the determinant dimension witness. The accuracy is below 10−3 comparing to maximal possible value of the witness in higher dimension. The test involving minimal independent sets of preparation and measurement operations (gates) is applied both for specific configurations and parametric ones. The test is robust against nonidealities such as incoherent leakage and erroneous gate execution. Two of the IBM devices failed the test by more than 5 standard deviations, which has no simple explanation.
© The Author(s) 2024
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