Certifying Majorana Fermions with Elegant-Like Bell Inequalities

Watch a 36-minute quantum physics seminar exploring the construction of Bell inequalities with analytically computable quantum bounds and their application to certifying Majorana fermions. Learn about a general framework that extends the Clauser-Horne-Shimony-Holt and Gisin's elegant inequalities, demonstrating how these Bell expressions can be maximally violated by pairwise anticommuting Clifford observables paired with maximally entangled states. Discover how these inequalities enable device-independent certification of Majorana fermions when viewed as multiqubit realizations of Clifford algebra generators under appropriate assumptions. Explore an important new equivalence in self-testing theory beyond local isometries and transposition - specifically how partial transposition applied to shared states and measurements can preserve all observable correlations while remaining undetected. Gain insights into advanced quantum information theory concepts including nonlocal correlations, Bell inequality violations, and the mathematical foundations underlying quantum entanglement certification protocols.