2015 Student Research Conference:
28th Annual Student Research Conference

Bell Inequalities with Communication Assistance
Katherine A. Maxwell
Dr. Vayujeet Gokhale and Dr. Eric Chitambar (Southern Illinois University Carbondale), Faculty Mentors

Quantum mechanics is known for 'spooky' action at a distance, which can be demonstrated by violating the original Bell Inequality with certain entangled quantum states. In a simple model of local quantum measurements, we consider how much classical communication assistance is needed for two parties to simulate the effects of quantum entanglement. This is the continuation of work by Bacon and Toner [Phys. Rev. Lett. 90, 157904 (2003)], who completely described the polytope of correlations when each party has two measurement settings (2×2), binary outputs, and one shared bit of communication. Our work consists of deriving the Bell Inequalities for 3×2 measurement settings and one shared bit of communication. We find that when the communication direction is fixed, eight non trivial Bell Inequalities tightly bound the polytope of correlations, whereas when the communication direction is bi-directional, 142 nontrivial inequalities describe the correlations.

Keywords: quantum mechanics, Bell Inequalities, entanglement


Presentation Type: Oral Paper

Session: 310-2
Location: MG 1096
Time: 1:15

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