Relations between correlations: entanglement, incompatibility, nonlocality and contextuality in quantum systems

• Grant number: 21/10548-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: December 01, 2021
• End date: January 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Rafael Luiz da Silva Rabelo
• Grantee: Gabriel Ruffolo
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 18/07258-7 - Entanglement, bell nonlocality, and physical principles for quantum theory, AP.JP
• Associated scholarship(s): 23/04053-3 - Fundamental consequences of no-monogamy relations between no-classical correlations, BE.EP.DR

Abstract

Quantum systems can exhibit non-classical behavior in different ways; two of the strongest and most well-known and studied are Bell non-locality and Kochen-Specker contextuality, both related to supra-classical correlations between measurement results performed on the system. Behind these phenomena there are, as expected, intrinsically quantum concepts, such as entanglement and measurement incompatibility. Resources such as these are, in general, necessary, but not always sufficient for the generation of non-classical correlations, and, due to the recent prominence that such correlations have gained as resources in the quantum theory of information, it is of fundamental and practical importance to investigate which ones are the hypotheses under the which non-locality and/or contextuality can be obtained in quantum systems. This project has as its central objective the investigation of such hypotheses, specifically related to the following two lines of research: (I) understanding the relationships between entanglement and non-locality in different scenarios; and (II) understanding the relationships between non-locality and contextuality in different scenarios. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

PORTO, LUCAS E. A.; RUFFOLO, GABRIEL; RABELO, RAFAEL; CUNHA, MARCELO TERRA; KURZYNSKI, PAWEL. Trade-off relations between Bell nonlocality and local Kochen-Specker contextuality in generalized Bell scenarios. NEW JOURNAL OF PHYSICS, v. 26, n. 8, p. 16-pg., 2024-08-01. (23/04053-3, 23/12979-3, 18/07258-7, 21/10548-0, 23/04197-5)

XUE, PENG; XIAO, LEI; RUFFOLO, G.; MAZZARI, A.; TEMISTOCLES, T.; CUNHA, M. TERRA; RABELO, R.. Synchronous Observation of Bell Nonlocality and State-Dependent Contextuality. Physical Review Letters, v. 130, n. 4, p. 6-pg., 2023-01-23. (21/01502-6, 18/07258-7, 21/10548-0)