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MIT Combinatorics Seminar

A Family of Configurations From Quantum Logic

Derek Smith (Lafayette College)

Wednesday, April 27, 2005   4:15 pm    Room 2-338

ABSTRACT

This broadly-accessible talk will introduce certain finite collections of vectors in $2n$-dimensional Euclidean space with combinatorial and geometrical properties that are useful in the study of quantum logic. These configurations generalize the $4$-dimensional configurations employed by Peres (1993), Navara and Pt\'{a}k (2004), and others in various treatments of the Kochen-Specker theorem. We will discuss applications, including the characterization of certain group-valued measures on the closed subspaces of Hilbert space, and we will conclude with several open problems.

This work is joint with John Harding and Ekaterina Jager.