Leiden University Student Repository

van der Horst, Victor (2021)

Locality of quantum-related measurement statistics

Bachelor thesis | Natuurkunde (BSc)

Quantum mechanics either violates realism (non-determinism) or locality. This follows from Bell’s theorem by showing the measurement statistics of the EPR-experiment can never be fully reproduced by any local hidden variable model (LHV-model). Research has been done in the last couple of decades into the degree to which LHV-models can reproduce measurement statistics approximating the EPR’s statistics. Specifically of interest is finding which amplitudes can be reproduced by LHV-models with an exact correlation. Our analysis and the literature take into consideration: a density matrix separability criterion on the two-electron singlet state, constructs by Kaszlikowski and Zukowski, and the Grothendieck constant. Further, open question arise and new approaches to the locality of quantum states are given.

Quantum statistics

Local hidden variable theory

Bell's theorem

Grothendieck constant

Quantum correlation

Author

van der Horst, Victor

Faculty

Faculty of Science

Supervisors

Tura Brugués, J.
Gill, R.D.

ECTS Credits

24

Language

en