Phillip Dukes
Associate Professor
Ph.D. Brigham Young University, 1996
Office: M1 206 Brownsville
Phone: 956-882-6659
Email: phillip.dukes@utrgv.edu
Teaching
PSCI 1421-01, PSCI 1421-03 Edinburg
Office hours: 12:00-1:00 T R Edinburg
Research
Quantum information theory, quantum walks, the quantum state separability vs entanglement problem: Quantum information theory is about how to use the quantum state of a system as a measure of information and processing that information using quantum operations analogous to the way a classical computer processes binary 0’s and 1’s. The quantum walk is the quantum mechanical counterpart to the classical random walk; as a classical walker may take a step either to the left or the right, the quantum walker may enter a superposition of a step to the left and a step to the right. Generalized quantum walks are a model for quantum computation. Entangled states are a resource for quantum computation. The complete classification of N particle entanglement and identification of mixed entangled states remain open problems. In-service science teacher development: With funding from the Teacher Quality Grands program and the Texas Regional Collaborative, I conduct sustained teacher development in the physical sciences.
Publications
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Indistinguishable quantum walks on graphs relative to a bipartite quantum walker. Phillip Dukes, pre-print, 2016, arXiv:1610.08421 [quant-ph].
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Continuous-time quantum walks over connected graphs, amplitudes and invariants. Phillip Dukes, pre-print, 2015, arXiv:1506.03086 [quant-ph].
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Quantum state revivals in quantum walks on cycles. Phillip Dukes, Results in Physics, 2014, vol. 4, p.189-197, arXiv:1405.7345 [quant-ph].
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World Space Week 2013: Exploring Mars, Discovering Earth. 2013, Luisa Fernanda Zambrano-Marin and Phillip Dukes, adAstra, Fall 2013, p. 40-41.
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A GeoWall with Physics and Astronomy Applications. 2008, Phillip Dukes and Dan Bruton, The Physics Teacher, Vol. 46 No. 3, p. 180-183.