I study how quantum resources can be used to generate non-classical correlations, ultimately seeking a quantitative characterization and a qualitative explanation of quantum correlations. In particular I am interested in:
How do finite-dimensional quantum and classical resources compare in various tasks?
Given a general causal structure where distinct quantum resources are shared among distinct subsets of parties, what are some inequalities which delineate the set of achievable probability distributions?
Could the "Almost Quantum Correlations" be a more correct description of reality than traditional Hilbert-space quantum mechanics? What about other theories of quantum gravity?
What precisely is the role of entanglement in quantum non-locality?
How can we generalize the notion of conditional independence to quantum states?
Identifying Nonconvexity in the Sets of Limited-Dimension Quantum Correlations, John Matthew Donohue and Elie Wolfe, arXiv: 1506.01119
PIRSA:13110092, Bounding the Elliptope of Quantum Correlations & Proving Separability in Mixed States, 2013-11-26, Quantum Foundations