Quantum Contextuality
Algebraic classification of Kochen-Specker sets in dimension three. The norm-2 boundary, six constructions from algebraic rings, and connections to perfect quantum strategies.
Interpretations & Non-Locality
What does contextuality tell us about reality? The Kochen-Specker theorem, Bell's theorem, and the measurement problem as windows into the interpretive landscape of quantum mechanics.
Quantum Technologies
Where foundational mathematics meets practice: post-quantum cryptography, quantum key distribution, and the emerging quantum technology landscape.
Why This Matters
Quantum mechanics is the most successful physical theory ever devised, yet its foundational meaning remains deeply contested. Contextuality — the fact that measurement outcomes depend on what else is measured alongside them — challenges our most basic assumptions about physical reality.
Our work investigates these questions through precise mathematical structures: Kochen-Specker sets, algebraic number theory, and the combinatorial witnesses of quantum advantage. Understanding why quantum mechanics is contextual illuminates both the philosophy of physics and the practical resources that make quantum technologies possible.
Current focus: A computational classification of Kochen-Specker constructions from algebraic rings, revealing that generator norm ≤ 2 controls KS-uncolorability in dimension three — with implications for quantum advantage in nonlocal games.