In this paper, we introduce the motivation for Bell inequalities and give some background on two different types: CHSH and Mermin's inequalities. We present a proof for each and then show that certain quantum states can violate both of these inequalities. We introduce a new result stating that for four given measurement directions of spin, two respectively from Alice and two from Bob, which are able to produce a violation of the Bell inequality for an arbitrary shared quantum state will also violate the Bell inequality for a maximally entangled state. Then we provide another new result that characterizes all of the two-qubit states that violate Mermin's inequality.
Identifer | oai:union.ndltd.org:siu.edu/oai:opensiuc.lib.siu.edu:theses-3083 |
Date | 01 December 2016 |
Creators | Dilley, Daniel Jacob |
Publisher | OpenSIUC |
Source Sets | Southern Illinois University Carbondale |
Detected Language | English |
Type | text |
Format | application/pdf |
Source | Theses |
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