Experimental Implementation of a Kochen-Specker Set of Quantum Tests

Year: 2013

Authors: D’Ambrosio V., Herbauts I., Amselem E., Nagali E., Bourennane M., Sciarrino F., Cabello A.

Autors Affiliation: Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy; Stockholm Univ, Dept Phys, S-10691 Stockholm, Sweden; Ist Nazl Ott INO CNR, I-50125 Florence, Italy; Univ Seville, Dept Fis Aplicada 2, E-41012 Seville, Spain.

Abstract: The conflict between classical and quantum physics can be identified through a series of yes-no tests on quantum systems, without it being necessary that these systems be in special quantum states. Kochen-Specker (KS) sets of yes-no tests have this property and provide a quantum-versus-classical advantage that is free of the initialization problem that affects some quantum computers. Here, we report the first experimental implementation of a complete KS set that consists of 18 yes-no tests on four-dimensional quantum systems and show how to use the KS set to obtain a state-independent quantum advantage. We first demonstrate the unique power of this KS set for solving a task while avoiding the problem of state initialization. Such a demonstration is done by showing that, for 28 different quantum states encoded in the orbital-angular-momentum and polarization degrees of freedom of single photons, the KS set provides an impossible-to-beat solution. In a second experiment, we generate maximally contextual quantum correlations by performing compatible sequential measurements of the polarization and path of single photons. In this case, state independence is demonstrated for 15 different initial states. Maximum contextuality and state independence follow from the fact that the sequences of measurements project any initial quantum state onto one of the KS set’s eigenstates. Our results show that KS sets can be used for quantum-information processing and quantum computation and pave the way for future developments. DOI: 10.1103/PhysRevX.3.011012

Journal/Review: PHYSICAL REVIEW X

Volume: 3 (1)      Pages from: 11012-1  to: 11012-10

More Information: We acknowledge fruitful discussions with A. J. Lopez-Tarrida and thank M. Radmark for technical support with the experiment. This work was supported by the Spanish Ministry of Economy and Competitiveness Project No. FIS2011-29400, the Wenner-Gren Foundation, FIRB Futuro in Ricerca-HYTEQ, the Swedish Research Council (VR), the Linnaeus Center of Excellence ADOPT, ERC Advanced Grant QOLAPS, and Project PHORBITECH of the Future and Emerging Technologies (FET) Program within the Seventh Framework Programme for Research of th e European Commission, under FET-Open Grant No. 255914.
KeyWords: Hidden-variables; Bell Inequalities; Angular-momentum; Theorem; Violation; Photons; Observables; Mechanics; Vectors
DOI: 10.1103/PhysRevX.3.011012

Citations: 76
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