Quantum Contextuality

The discovery that a single joint probability distribution cannot describe quantum probabilities shows that, in quantum theory (QT), measurement outcomes cannot be predetermined independently of their context—that is, the set of other compatible measurements that might be performed. As a result, certain predictions of QT cannot be reproduced by any noncontextual hidden-variable (NCHV) model. In this sense, QT is said to exhibit contextuality. We performed experiments on the state-independent violation of an inequality for noncontextual theories on single particles, Hardy-Like Quantum Contextuality, and the implementation of a Kochen-Specker set of quantum tests.

• Experimental implementation of dimension-dependent contextuality inequality, E. Håkansson, A. Piveteau, A. Seguinard, S. Muhammad, M. Bourennane, O. Gühne, M. Plávala, Physical Review Letters 134 (20), 200202 (2025)
• Experimental Observation of Hardy-Like Quantum Contextuality, B. Marques, J. Ahrens, M. Nawareg, A. Cabello, M. Bourennane, Physical Review Letters 113 (25), 250403 (2014)
• Simple Hardy-like proof of quantum contextuality, A. Cabello, P. Badziag, M. Terra Cunha, M. Bourennane, Physical Review Letters 111 (18), 180404 (2013)
• Two Fundamental Experimental Tests of Nonclassicality with Qutrits, J. Ahrens, E. Amselem, A. Cabello, M. Bourennane, Scientific Reports 3 (1), 2170 (2013)
• Comment on “State-independent experimental test of quantum contextuality in an indivisible system”, E. Amselem, M. Bourennane, C. Budroni, A. Cabello, O. Gühne, M. Kleinmann, J.-Å. Larsson, M. Wieśniak, Physical Review Letters 110 (7), 078901 (2013)
• Experimental Implementation of a Kochen-Specker Set of Quantum Tests, V. D’Ambrosio, I. Herbauts, E. Amselem, E. Nagali, M. Bourennane, F. Sciarrino, A. Cabello, Physical Review X 3, 011012 (2013)
• Editorial Material: Comment on" State-Independent Experimental Test of Quantum Contextuality", E. Amselem, M. Bourennane, C. Budroni, A. Cabello, O. Gühne, M. Kleinmann J-Å. Larsson, M. Wieśniak, Physical Review Letters 110 (7), 1-1 (2013)
• Experimental fully contextual correlations, E. Amselem, L.E. Danielsen, A.J. López-Tarrida, J.R .Portillo, M. Bourennane, A. Cabello, Physical Review Letters 108 (20), 200405 (2012)
• Proposed experiments of qutrit state-independent contextuality and two-qutrit contextuality-based nonlocality, A. Cabello, E. Amselem, K. Blanchfield, M. Bourennane, I. Bengtsson, Physical Review A 85 (3), 032108 (2012)
• State-independent quantum contextuality with single photons, E. Amselem, M. Rådmark, M. Bourennane, A. Cabello, Physical Review Letters 103 (16), 160405 (2009)