Date of Award
4-2024
Degree Type
Thesis
Degree Name
M.S.
Degree Program
Mathematics
Department
Mathematics
Major Professor
Peter Bierhorst
Abstract
The seminal 1935 paper by Einstein, Podolsky, and Rosen (EPR) sparked a fundamental debate in quantum mechanics about the completeness of physical reality through the EPR paradox. They questioned local realism by suggesting that particles could exhibit instantaneous correlations across any distance, challenging classical physics. Bell's theorem (1964) argued that no local hidden variable theory could replicate quantum predictions, introducing Bell's inequalities and their experimental tests. These tests, particularly through violations of Bell's inequalities, confirmed quantum predictions of non-local correlations that local realism could not account for. Quantum theory, while supporting such correlations, adheres to the no-signaling principle to prevent faster-than-light communication and preserve causality. This paper presents a projection-based method for estimating the no-signaling distribution in weakly signaling data, offering a more efficient alternative to traditional methods. Our theoretical and experimental analysis demonstrates that CHSH parameters, indicative of quantum non-locality, remain unchanged even when a weakly signaling distribution is projected onto a non-signaling subspace, thereby upholding the intrinsic properties of quantum experiments.
Recommended Citation
Paudel, Aaditya, "Invariance of CHSH parameters when projecting weakly signaling distribution into a no signaling subspace" (2024). LSU New Orleans Theses and Dissertations. 3417.
https://scholarworks.uno.edu/td/3417
Rights
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