Faculty Scholarship: Dr. David Lyons

Dr. Lyons



David W. Lyons

Professor of
Mathematical Sciences


 B.S. Davidson College
Ph.D. University of North Carolina at Chapel Hill

Dr. Lyons has broad mathematical interests in the areas of geometry, topology, algebra, and computer visualization. His current research is in mathematical physics in the area of quantum information theory. His pedagogical scholarship centers on the use of visualization, particularly with animation, for teaching mathematical concepts. Away from the office, he is advisor and master instructor for the Taekwondo Club.

Dr. Lyons' Scholarship and Pedagogy 2016 Celebration

Lyons, D. A. (2015, March). Entanglement properties of hypergraph states. Poster Presented at the British Mathematics

Colloquium, University of Cambridge, UK.

Dr. Lyons' Scholarship and Pedagogy 2015 Celebration

Cenci, C. D., Lyons, D. W., & Walck, S. N. (2014). Local unitary group stabilizers and entanglement for multiqubit symmetric states. Theory of quantum computation, communication, and cryptography; volume 6745 of Lecture notes in computer science (pp. 198-207). New York, NY: Springer.

Lyons, D. W. (2014, July). Local unitary symmetries of hypergraph states. Presentation, Quantum Information Workshop, Seefeld, Austria.

Lyons, D. W. (2014, March). Entanglement and local unitary stabilizer subgroups. Presentation, Quantum Information Seminar, Institute for Quantum Optics and Quantum Information, Innsbruck, Austria.

Lyons, D. W. (2014, May). Local unitary symmetries of hypergraph states. University of Cambridge.

Lyons, D. W. (2014, May). Local unitary symmetries of hypergraph states. University of Bristol.

Lyons, D. W. (2014, May). Local unitary symmetries of hypergraph states. Télécom Paris Tech.

Lyons, D. W. (2014, September). Graphs and hypergraphs, symmetry and entanglement. Presentation at the Tetrahedral Geometry and Topology Seminar, Hempfield, PA.

Lyons, D. W., Upchurch, D. J., Walck, S. N., & Yetter, C. D. (2015). Local unitary symmetries of hypergraph states. Journal of Physics A: Mathematical and Theoretical, 48(9), n.p. Retrieved from http://arxiv.org/abs/1410.3904

Dr. Lyons' Scholarship and Pedagogy 2014 Celebration

Lyons, D. W., & Walck, S. N. (2013). Entanglement verification using local unitary stabilizers. Physical Review A, 87.

Lyons, D. W. (2013 June). Entanglement verification using local unitary stabilizers. Central European Quantum Information Processing Workshop, Valtice, Czech Republic.

Lyons, D. W., & Walck, S. N. (2013). Entanglement verification using local unitary stabilizers. Physical Review A, 87(062321) doi:arXiv:1303.6497

Dr. Lyons' Scholarship and Pedagogy 2013 Celebration

Lyons, D. W. (July 2012). Linear basis for decoherence-free subspace for collective decoherence. Quantum Information Workshop, Seefield, Austria.

Lyons, D. W. (March 2012). Local unitary stabilizers, symmetric states, and Werner states. Telecom Paris Tech, Paris, France.

Lyons, D. W. (October 2012). Quantum information: An ongoing research program with undergraduate students. The MD-DC-VA Section Meeting of the Mathematica Association of America, Virginia Military Institute, Lexington, VA.

Lyons, D. W. (September 2012). Writing as a path to understanding and discovery. Elizabethtown College Bowers Writers House.

Lyons, D. W., Skelton, A. M., & Walck, S. N. (December 2011). Local unitary classes of symmetric mixed states and ongoing work on Werner states. Quantum Information Processing (QIP) 2012, Montreal, Canada.

Dr. Lyons' Scholarship and Pedagogy 2012 Celebration

Lyons, D. W. (2011). Classifying entanglement for symmetric states of n quantum bits. Tetrahedral Geometry and Topology Seminar, Elizabethtown College, PA.

Lyons, D. W. (2011). Local unitary group stabilizers and entanglement for multiqubit symmetric states. Theory of Quantum Computation, Communication and Cryptography (TQC), Madrid, Spain.

Lyons, D. W., Skelton, A. M., & Walck, S. N. (2011). Local unitary classes of symmetric mixed states and ongoing work on Werner states. Quantum Information Processing, Montreal, Canada.

Lyons, D. W., Skelton, A. M., & Walck, S. N. (2012). Werner state structure and entanglement classification. Advances in Mathematical Physics.

Lyons, D. W., & Walck, S. N. (2011). Entanglement classes of symmetric Werner states. Physical Review A, 84(042316) doi:10.1103/PhysRevA.84.042316

Lyons, D. W., & Walck, S. N. (2011). Symmetric mixed states of n qubits: Local unitary stabilizers and entanglement classes. Physical Review A, 84(042340) doi:10.1103/PhysRevA.84.042340