Experimental Implementation of Dimension-Dependent Contextuality Inequality
We present a derivation and experimental implementation of a dimension-dependent contextuality inequality to certify both the quantumness and dimensionality of a given system. Existing methods for certification of the dimension of a quantum system can be cheated by using larger classical systems, creating a potential loophole in these benchmarks, or can in practice only be evaluated assuming pure quantum states. Our approach uses contextuality inequalities that cannot be violated by classical systems thus closing the previous loopholes. We validate this framework experimentally with photons, observing violations of a CHSH-based contextuality inequality and surpassing the qutrit bound of the CGLMP_{4}-based contextuality inequality. These show that contextuality can be used for noise-robust tests of the number of qubits.
Authors
- Otfried Gühne (ORCID: https://orcid.org/0000-0002-6033-0867)
- Amélie Piveteau (ORCID: https://orcid.org/0009-0005-7757-8075)
- Mohamed Bourennane (ORCID: https://orcid.org/0000-0002-6946-9996)
- Emil Håkansson (ORCID: https://orcid.org/0009-0005-6054-8304)
- Alban Seguinard (ORCID: https://orcid.org/0009-0009-9290-3744)
- Martin Plávala (ORCID: https://orcid.org/0000-0002-3597-2702)
- Sadiq Muhammad (ORCID: https://orcid.org/0000-0002-5160-9065)
Institutions
- Leibniz University Hannover (DE)
- Stockholm University (SE)
- University of Siegen (DE)
- Folkwang University of the Arts (DE)
- Hitachi (Japan) (JP)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2025-05-22
- DOI
- https://doi.org/10.1103/physrevlett.134.200202
- Citations
- 2
- Primary Topic
- Quantum Mechanics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 2.49
Funders
- Alexander von Humboldt-Stiftung
- Deutscher Akademischer Austauschdienst
- Deutsche Forschungsgemeinschaft
- Bundesministerium für Bildung und Forschung
- Knut och Alice Wallenbergs Stiftelse
- Vetenskapsrådet
- Chinesisch-Deutsche Zentrum für Wissenschaftsförderung
- Niedersächsisches Ministerium für Wissenschaft und Kultur
- Wallenberg Centre for Molecular and Translational Medicine
- Wallenberg Center for Quantum Technology, Chalmers University of Technology