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.
Post-Quantum Cryptography
Tracking the transition to quantum-resistant algorithms. Lattice-based cryptography, NIST standards (ML-DSA, ML-KEM, SLH-DSA), and blockchain integration with Tezos tz5 addresses.
Quantum Networks
Quantum key distribution protocols, the Canadian quantum communications landscape, and the classical-quantum software interface enabling secure network infrastructure.
Why This Matters
Quantum computing threatens the cryptographic foundations of modern digital infrastructure. The question is not whether current encryption will be broken, but when — and whether we will have deployed quantum-resistant alternatives in time.
Our work connects three levels: the fundamental mathematics of quantum mechanics (contextuality), the algebraic structures that make quantum-safe cryptography possible (lattice problems), and the physical layer that enables provably secure communication (quantum key distribution).
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.