4 papers
Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra
Ali Almasi, Dávid Bugár, Cambyse Rouzé +1
Moment/Sum-of-Hermitian-Squares relaxations for noncommutative polynomial optimization problems have become an important tool for analyzing problems within quantum theory. Despite…
Expanding bipartite Bell inequalities for maximum multi-partite randomness
Lewis Wooltorton, Peter Brown, Roger Colbeck
Nonlocal tests on multi-partite quantum correlations form the basis of protocols that certify randomness in a device-independent (DI) way. Such correlations admit a rich structure,…
Genuine multipartite entanglement is not necessary for standard device-independent conference key agreement
Lewis Wooltorton, Peter Brown, Roger Colbeck
Conference key agreement aims to establish shared, private randomness among many separated parties in a network. Device-independent conference key agreement (DICKA) is a variant in…
Semidefinite programming relaxations for quantum correlations
Armin Tavakoli, Alejandro Pozas-Kerstjens, Peter Brown +1
Semidefinite programs are convex optimisation problems involving a linear objective function and a domain of positive semidefinite matrices. Over the last two decades, they have be…