Quantifiers and witnesses for the nonclassicality of measurements and of states
Abstract
In recent work [Phys. Rev. X 16, 021050], we proposed a unified notion of nonclassicality that applies to arbitrary processes in quantum theory, including individual quantum states, measurements, and sets thereof. This notion is derived from the principle of generalized noncontextuality, but in a novel manner that applies to individual processes rather than full experiments or theories. In the present work, we develop semidefinite-programming-based certificates and witnesses for the nonclassicality of states, sources, measurements, and sets thereof. These theory-dependent methods complement theory-independent approaches based on noncontextuality inequalities. We demonstrate the framework through a variety of explicit examples.
Fields of Study & Subjects
Quantum Mechanics and Applications
Quantum Information and Cryptography
Quantum Computing Algorithms and Architecture
Publication details
- Journal / source
- Quantum
- Publisher
- Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
- Volume
- 10
- Pages
- 2180–2180
- Publication date
- 30 July 2026
- Language
- EN