Licentiate Thesis: Bell Inequalities and Non-local games
by
Muhammad Sadiq(Stockholm University, Department of Physics)
→
Europe/Stockholm
FB41
FB41
Description
Quantum mechanics is undoubtedly a weird field of science and violates the deep conceptual tenets of classical physics. It requires reconsiderations of the concepts on which the classical physics empire is based e.g. it calls for inseparability of the whole universe. To circumvent these problems, hidden variables theories—theories based on undiscovered parameters—are devised. Fortunately, John S. Bell and some other physicists found ways to distinguish between the predictions of local hidden variable (LHV) theories and quantum mechanics, in the form of some inequalities. A distinction can be made, since quantum mechanics can
violate these inequalities but not LHV theories. CHSH—J. Clauser, M. Horne, A. Shimony and R. A. Holt—inequality, is one of the most famous among these inequalities. In the present work, we found that this inequality actually contains an even simpler logical structure, which can itself be described by an inequality and will be violated by quantum mechanics. We found
3 simpler inequalities and were able to violate them experimentally.
Furthermore, CHSH inequality can be used to devise games that can outperform classical strategies. We explore CHSH-games for biased and unbiased cases and present their experimental realizations. We also found a remarkable application of CHSH-games in real
life, namely in the game of Contract Bridge. In this thesis, we have described this application along with its experimental realization.
