Applying the simplest Kochen-Specker set for quantum information processing

TL;DR

This paper demonstrates an experimental technique using the simplest Kochen-Specker set to verify quantum measurements in a six-dimensional space encoded in single photons, simplifying the application of KS sets in quantum information.

Contribution

It introduces a new, input state-independent method leveraging the simplest KS set for certifying quantum measurements in higher-dimensional systems.

Findings

Successfully certified measurements in a six-dimensional quantum space

Used the simplest KS set to simplify experimental procedures

Validated the method's effectiveness for quantum information tasks

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.