TESTING THE QUANTUM-CLASSICAL BOUNDARY AND DIMENSIONALITY OF QUANTUM SYSTEMS

Abstract

Motivated by the various fundamental implications for quantum theory and its applications by closely approaching the Tsirelson bound, we document in this thesis, our attempt at setting up a source of high quality polarization-entangled photon pairs and their use in violating the CHSH inequality both maximally and with the smallest error bar currently recorded in literature. The thesis also reports our work in deriving a completely new Bell type inequality based solely on the concept of Kolmogorov complexity and normalized information distance (NID), independent of any statistical considerations usually associated with other Bell's inequalities. We documented in detail our procedures in coming up with an estimate to the Kolmogorov complexity by appealing to the concept of compressibility, obtainable in actual implementation using freely available compression softwares. This inequality was then violated in experiment as a proof of concept. Lastly we report the setting up of a energy-time and polarization hyperentangled source and its use in the experimental implementation of a dimension witness based on the CGLMP inequality.