Relations between correlations: entanglement, incompatibility, nonlocality and con...
Statistical Robustness of Experimental Implementations of Non-locality and Context...
| Full text | |
| Author(s): |
Porto, Lucas E. A.
;
Ruffolo, Gabriel
;
Rabelo, Rafael
;
Cunha, Marcelo Terra
;
Kurzynski, Pawel
Total Authors: 5
|
| Document type: | Journal article |
| Source: | NEW JOURNAL OF PHYSICS; v. 26, n. 8, p. 16-pg., 2024-08-01. |
| Abstract | |
The relations between Bell nonlocality and Kochen-Specker contextuality have been subject of research from many different perspectives in the last decades. Recently, some interesting results on these relations have been explored in the so-called generalized Bell scenarios, that is, scenarios where Bell spatial separation (or agency independence) coexist with (at least one of the) parties' ability to perform compatible measurements at each round of the experiment. When this party has an n-cycle compatiblity setup, it was first claimed that Bell nonlocality could not be concomitantly observed with contextuality at this party's local experiment. However, by a more natural reading of the definition of locality, it turns out that both Bell nonlocality and local contextuality can, in fact, be jointly present. In spite of it, in this work we prove that in the simplest of those scenarios there cannot be arbitrary amounts of both of these two resources together. That is, in these cases we show that the violation of any Bell inequality limits the possible violations of any local noncontextuality inequality. We also explore this trade-off relation using quantifiers of nonlocality and contextuality, discussing how such a relation can be understood in terms of a 'global' notion of contextuality, and we study possible extensions of this result to other scenarios. (AU) | |
| FAPESP's process: | 23/04053-3 - Fundamental consequences of no-monogamy relations between no-classical correlations |
| Grantee: | Gabriel Ruffolo |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 23/12979-3 - Applications of the generalized bell scenarios |
| Grantee: | Lucas Emanuel Antunes Porto |
| Support Opportunities: | Scholarships abroad - Research Internship - Master's degree |
| FAPESP's process: | 18/07258-7 - Entanglement, bell nonlocality, and physical principles for quantum theory |
| Grantee: | Rafael Luiz da Silva Rabelo |
| Support Opportunities: | Research Grants - Young Investigators Grants |
| FAPESP's process: | 21/10548-0 - Relations between correlations: entanglement, incompatibility, nonlocality and contextuality in quantum systems |
| Grantee: | Gabriel Ruffolo |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 23/04197-5 - Resource Quantification in Bell Generalized Scenarios |
| Grantee: | Lucas Emanuel Antunes Porto |
| Support Opportunities: | Scholarships in Brazil - Master |