title: Applying the simplest Kochen-Specker set for quantum information processing.
abstract: Kochen-Specker (KS) sets are key tools for proving some fundamental results in quantum theory and also have potential applications in quantum information processing. However, so far, their intrinsic complexity has prevented experimentalists from using them for any application. The KS set requiring the smallest number of contexts has been recently found. Relying on this simple KS set, here we report an input state-independent experimental technique to certify whether a set of measurements is actually accessing a preestablished quantum six-dimensional space encoded in the transverse momentum of single photons.
authors.affiliation: Departamento de Física, Universidad de Concepción, 160-C Concepción, Chile and Center for Optics and Photonics, Universidad de Concepción, 160-C Concepción, Chile and MSI-Nucleus for Advanced Optics, Universidad de Concepción, 160-C Concepción, Chile.
authors.forename: Gustavo
authors.initials: G
authors.lastname: Cañas
authors.affiliation: Departamento de Física, Universidad de Concepción, 160-C Concepción, Chile and Center for Optics and Photonics, Universidad de Concepción, 160-C Concepción, Chile and MSI-Nucleus for Advanced Optics, Universidad de Concepción, 160-C Concepción, Chile.
authors.forename: Mauricio
authors.initials: M
authors.lastname: Arias
authors.affiliation: Departamento de Física, Universidad de Concepción, 160-C Concepción, Chile and Center for Optics and Photonics, Universidad de Concepción, 160-C Concepción, Chile and MSI-Nucleus for Advanced Optics, Universidad de Concepción, 160-C Concepción, Chile.
authors.forename: Sebastián
authors.initials: S
authors.lastname: Etcheverry
authors.affiliation: Departamento de Física, Universidad de Concepción, 160-C Concepción, Chile and Center for Optics and Photonics, Universidad de Concepción, 160-C Concepción, Chile and MSI-Nucleus for Advanced Optics, Universidad de Concepción, 160-C Concepción, Chile.
authors.forename: Esteban S
authors.initials: ES
authors.lastname: Gómez
authors.affiliation: Departamento de Física Aplicada II, Universidad de Sevilla, E-41012, Sevilla, Spain.
authors.forename: Adán
authors.initials: A
authors.lastname: Cabello
authors.affiliation: Center for Optics and Photonics, Universidad de Concepción, 160-C Concepción, Chile and MSI-Nucleus for Advanced Optics, Universidad de Concepción, 160-C Concepción, Chile and Departamento de Ingeniería Eléctrica, Universidad de Concepción, 160-C Concepción, Chile.
authors.forename: Guilherme B
authors.initials: GB
authors.lastname: Xavier
authors.affiliation: Departamento de Física, Universidad de Concepción, 160-C Concepción, Chile and Center for Optics and Photonics, Universidad de Concepción, 160-C Concepción, Chile and MSI-Nucleus for Advanced Optics, Universidad de Concepción, 160-C Concepción, Chile.
authors.forename: Gustavo
authors.initials: G
authors.lastname: Lima