Multipartite Bell-inequality violation using randomly chosen triads

Abstract

We consider the problem of demonstrating non-Bell-local correlations by performing local measurements in randomly chosen bases on a multipartite Greenberger-Horne-Zeilinger state Inspired by previous work in the bipartite scenario we consider specifically the case where each party performs measurements on bases that form a triad on the Bloch sphere As with the bipartite scenario our numerical results for the tripartite 4-partite 5-partite and 6-partite scenario suggest that if each triad is randomly but uniformly chosen according to the Haar measure one always (except possibly for a set of measure zero) finds correlations that violate a Bell inequality In addition these quantum violations of a Bell inequality appear to be fairly resistant to white noise indicating that such a demonstration can in principle be performed in an experimental situation without sharing a global reference frame

Date of Award	2019
Original language	English
Supervisor	Yeong-Cherng Liang (Supervisor)