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.

REVTeX4, 5 pages, 5 figures

References in corpus (9)

• Experimentally testable state-independent quantum contextuality
• State-independent experimental test of quantum contextuality
• The Free Will Theorem
• Device-independent tests of classical and quantum dimensions
• State-independent quantum contextuality with single photons
• Universality of state-independent violation of correlation inequalities for noncontextual theories
• Experimental implementation of a Kochen-Specker set of quantum tests
• Device-independent certification of high-dimensional quantum systems
• Measurement strategy for spatially encoded photonic qubits

Cited by in corpus (8)

• Experimental minimum-error quantum-state discrimination in high dimensions
• Necessary and sufficient condition for quantum state-independent contextuality
• Contextuality in phase space
• Vector Generation of Quantum Contextual Sets in Even Dimensional Hilbert Spaces
• Arbitrarily exhaustive hypergraph generation of 4-, 6-, 8-, 16-, and 32-dimensional quantum contextual sets
• Experimental demonstration of the connection between quantum contextuality and graph theory
• Automated generation of Kochen-Specker sets
• Vector Generation of Contextual Sets