Unitary-invariant method for witnessing nonstabilizerness in quantum processors
Abstract Nonstabilizerness, also known as ‘magic’, is a crucial resource for quantum computation. The growth in complexity of quantum processing units (QPUs) demands robust and scalable techniques for characterizing this resource. We introduce the basis-independent notion of set magic : a set of states has this property if at least one state in the set is a magic state. We show that certain two-state overlap inequalities, recently introduced as witnesses of basis-independent coherence, are also witnesses of set magic. Finally, we show that using such witnesses one can robustly certify nonstabilizerness in a network of QPUs without having to entangle the different devices and with reduced demands compared to the individual certification of each QPU.
Authors
- Ernesto F. Galvão (ORCID: https://orcid.org/0000-0003-2582-9918)
- Rafael Wagner (ORCID: https://orcid.org/0000-0001-8432-064X)
- Emmanuel Zambrini Cruzeiro (ORCID: https://orcid.org/0000-0003-3418-9131)
- Filipa C. R. Peres (ORCID: https://orcid.org/0000-0003-2465-4546)
Institutions
- University of Pisa (IT)
- Universidade Federal Fluminense (BR)
- Universidad de Granada (ES)
- Universidade do Porto (PT)
- Universität Ulm (DE)
- Instituto de Telecomunicações (PT)
- Institute for Systems Engineering and Computers (PT)
- International Iberian Nanotechnology Laboratory (PT)
- University of Minho (PT)
Publication Details
- Journal
- Journal of Physics A Mathematical and Theoretical
- Published
- 2025-06-30
- DOI
- https://doi.org/10.1088/1751-8121/ade9ff
- Citations
- 2
- Primary Topic
- Neural Networks and Reservoir Computing
- Type
- article
- Field-Weighted Citation Impact
- 4.96
Funders
- European Research Council
- Fundação para a Ciência e a Tecnologia