Speaker
Description
Quantum resource theories (QRTs) provide a unified framework for understanding quantum-mechanical properties, but physically well-motivated resources may possess structure whose analysis is mathematically intractable, such as non-uniqueness of maximally resourceful states, non-convexity, and infinite-dimensionality. We systematically study manipulation and quantification of resources in general QRTs under minimal assumptions. We prove general existence of maximally resourceful states. We also discover a novel phenomenon, catalytic replication of resources, where a resource state is infinitely replicable by free operations. Furthermore, we introduce and study notion of consistent resource measures to quantify resources without contradicting asymptotic-state-conversion rate. These establish unified foundation of QRTs applicable to physically well-motivated resources whose analysis can be mathematically intractable.
