Mathematical Physics Research Group

David W. Lyons, Mathematics
Scott N. Walck, Physics
Lebanon Valley College

The Mathematical Physics Research Group at Lebanon Valley College conducts interdisciplinary, collaborative research involving undergraduate students from mathematics, physics and computer science. Our primary research area is quantum information science. To date we have focused on questions surrounding the phenomenon of quantum entanglement. Here are links to general-audience introductions.

Follow "tutorials" links at the University of Cambridge's Centre for Quantum Computation Quantiki web site for a general-audience introduction to quantum information science and its subfields.
Here is our own completely nontechnical very basic introduction to entanglement "that any sixth grader could understand."

Ongoing work of faculty principal investigators David Lyons (Mathematics) and Scott Walck (Physics) centers around the problem of classifying entanglement types (local unitary equivalence classes of states) for pure and mixed states of n-qubit quantum systems. In mathematical language, the problem is to classify orbits for the action of SU(2)ⁿ on the projectivization of the nth tensor power of C² and on the subset of gl(2ⁿ,C) consisting of positive semidefinite operators with trace 1 (density matrices). The problem is motivated by potential applications in quantum computation and communication. This project is currently supported by the National Science Foundation.

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