学位论文详细信息
An Examination of Quantum Foundations
quantum foundations;contextuality;Applied Mathematics
Markes, Sonia
University of Waterloo
关键词: quantum foundations;    contextuality;    Applied Mathematics;   
Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/6230/1/Markes_Sonia.pdf
瑞士|英语
来源: UWSPACE Waterloo Institutional Repository
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【 摘 要 】

Quantum foundations is a field of diverse goals and methods. In this thesis, I willpresent three different approaches to quantum foundations, each emphasizing a differentgoal or perspective. The causaloid framework has the goal is to use insight from quantumfoundations to study quantum gravity. Ontic models are a tool used to study realist theoriesof quantum mechanics from an operational quantum information perspective. Nelson;;smechanics is a derivation of the Schrodinger equation using the machinery of stochasticmechanics.As each of these approaches has different set of goals, they are suited to differentpurposes and have different limitations. From the causaloid, I construct the concept ofcausally unbiased entropy and at the same time, find an emergent idea of causality in theform of a measure of causal connectedness, termed the Q factor. In the ontic modelsframework, I reproduce the generalization of the concept of contextuality. For Nelson;;smechanics, I examine its relationship to Bohmian mechanics - a realist formulation ofquantum mechanics.I will then examine the relationship of these different approaches to one another. Fromthis examination I will introduce the concept of physical contextuality in order to askwhether contextuality could be more than just a mathematical artifact. I also include a discussion of the property of deficiency in ontic models and its relation to contextuality given certain constraints.

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