David W. Lyons, Publications

David W. Lyons' Publications and Presentations

lyons@lvc.edu

Selected Research Publications

[13] David W. Lyons and Scott N. Walck. Entanglement verification using local unitary stabilizers. arXiv:1303.6497 [quant-ph], March 2013. [ e-print ]
[12] David W. Lyons, Abigail M. Skelton, and Scott N. Walck. Werner state structure and entanglement classification. Advances in Mathematical Physics, 2012:463610, 2012. arXiv:1109.6063v2 [quant-ph]. [ DOI | journal | e-print ]
[11] David W. Lyons and Scott N. Walck. Entanglement classes of symmetric Werner states. Phys. Rev. A, 84:042316, October 2011. arXiv:1106.4220v2 [quant-ph]. [ DOI | journal | e-print ]
[10] David W. Lyons and Scott N. Walck. Symmetric mixed states of n qubits: Local unitary stabilizers and entanglement classes. Phys. Rev. A, 84:042340, October 2011. arXiv:1107.1372v1 [quant-ph]. [ DOI | journal | e-print ]
[9] Curt D. Cenci, David W. Lyons, and Scott N. Walck. Local unitary group stabilizers and entanglement for multiqubit symmetric states. Accepted, Springer Lecture Notes in Computer Science, 2011. arXiv:1011.5229v1 [quant-ph]. [ DOI | journal | e-print ]
[8] Curt D. Cenci, David W. Lyons, Laura M. Snyder, and Scott N. Walck. Symmetric states: local unitary equivalence via stabilizers. Quantum Information and Computation, 10:1029-1041, November 2010. arXiv:1007.3920v1 [quant-ph]. [ DOI | journal | e-print ]
[7] Scott N. Walck and David W. Lyons. Only n-qubit Greenberger-Horne-Zeilinger states contain n-partite information. Phys. Rev. A, 79:032326, March 2009. arXiv:0808.0859v1 [quant-ph]. [ DOI | journal | e-print ]
[6] David W. Lyons and Scott N. Walck. Multiparty quantum states stabilized by the diagonal subgroup of the local unitary group. Phys. Rev. A, 78:042314, October 2008. arXiv:0808.2989v2 [quant-ph]. [ DOI | journal | e-print ]
[5] David W. Lyons, Scott N. Walck, and Stephanie A. Blanda. Classification of nonproduct states with maximum stabilizer dimension. Phys. Rev. A, 77:022309, 2008. arXiv:0709.1105 [quant-ph].
[4] Scott N. Walck and David W. Lyons. Only n-qubit Greenberger-Horne-Zeilinger states are undetermined by their reduced density matrices. Phys. Rev. Lett., 100:050501, 2008. arXiv:0707.4428 [quant-ph].
[3] Scott N. Walck and David W. Lyons. Maximum stabilizer dimension for nonproduct states. Phys. Rev. A, 76:022303, 2007. arXiv:0706.1785 [quant-ph].
[2] David W. Lyons and Scott N. Walck. Classification of n-qubit states with minimum orbit dimension. J. Phys. A: Math. Gen., 39:2443-2456, 2006. arXiv:quant-ph/0506241.
[1] David W. Lyons and Scott N. Walck. Minimum orbit dimension for local unitary action on n-qubit pure states. J. Math. Phys., 46:102106, 2005. arXiv:quant-ph/0503052.

Selected Expository Work

[9] David W. Lyons. Introducion to Mathematical Proof. 2011. [ e-print ]
[8] David W. Lyons. Quantum Information Notes: Introduction to Matrix Groups and Their Lie Algebras. 2010. [ e-print ]
[7] David W. Lyons. Survey of Hopf fibrations and rotation conventions in mathematics and physics. arXiv:0808.3089v2 [math-ph], September 2008. [ e-print ]
[6] David W. Lyons. Mathematical Reasoning II: Introducion to Mathematics Beyond Calculus. 2006. [ e-print ]
[5] Richard H. Hammack and David W. Lyons. The alternating series test-visual proof. Oxford Journals: Teaching Mathematics and its Applications,, 25(2):58-60, 2006. [ DOI | journal ]
[4] Richard H. Hammack and David W. Lyons. Alternating Series Proof Without Words. The College Mathematics Journal, 36(1):72, January 2005. [ journal ]
[3] David W. Lyons. Mathematical Reasoning I: Introducion to Mathematics Beyond Calculus. 2005. [ e-print ]
[2] David W. Lyons. Mathematics Magazine cover artwork, April 2003. [ journal ]
[1] David W. Lyons. An elementary introduction to the Hopf fibration. Mathematics Magazine, 76(2):87-98, 2003. [ journal | e-print ]

Selected Presentations

[20] 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, October 2012.
[19] Writing as a path to understanding and discovery. Elizabethtown College Bowers Writers House, September 2012.
[18] Linear basis for decoherence-free subspace for collective decoherence. Quantum Information Workshop, Seefeld, Austria, July 2012.
[17] Local unitary stabilizers, symmetric states, and Werner states. Télécom Paris Tech, March 2012.
[16] Local Unitary Classes of Symmetric Mixed States and Ongoing Work on Werner States. Quantum Information Processing (QIP) 2012, Montréal, December 2011.
[15] Classifying entanglement for symmetric states of n quantum bits. Tetrahedral Geometry and Topology Seminar, Elizabethtown College, PA, September 2011.
[14] Local unitary group stabilizers and entanglement for multiqubit symmetric states. Theory of Quantum Computation, Communication and Cryptography (TQC) 2011, Madrid, May 2011.
[13] Some questions about local unitary stabilizers. Theory of Quantum Computation, Communication and Cryptography (TQC) 2010, Leeds, UK, April 2010.
[12] Quantum entanglement: When the whole is more than the sum of the parts. Lebanon Valley College Faculty Colloquium, Annville, PA, March 2009.
[11] Classification of Multi-party Quantum Entanglement: Continuing Work. Tetrahedral Geometry and Topology Seminar, Hempfield, PA, October 2008.
[10] An Application of Combinatorics in Quantum Information. Virginia Commonwealth University Discrete Mathematics Seminar, Richmond, VA, October 2008.
[9] Quantum Information and Entanglement. Virginia Commonwealth University Mathematical Expositions Talk, Richmond, VA, October 2008.
[8] Entanglement Classification Using Stabilizer Subalgebras. Susquehanna University Research Experience for Undergraduates in Quantum Information Theory, Selinsgrove, PA, July 2008.
[7] Maximum Stabilizer Dimension for Multiparty States. University of Bristol Quantum Computation and Information Seminar, Bristol, UK, February 2008.
[6] Maximum Stabilizer Dimension for Multiparty States. University of York Quantum Information Seminar, York, UK, January 2008.
[5] Hamilton, Hopf and Bloch. Joint Math Colloquium of Franklin and Marshall College and Millersville University, Millersville, PA, April 2007.
[4] Classification of Multiparticle Entanglement Types with Minimum Orbit Dimension. Joint Meetings of the American Mathematical Society and the Mathematical Association of America, San Antonio, TX, January 2006.
[3] Minimum Orbit for the Local Unitary Group Action on State Space for a System of Qubits. Joint Meetings of the American Mathematical Society and the Mathematical Association of America, Atlanta, GA, January 2005.
[2] Rotations, Quaternions and the Hopf Map. Joint Math Colloquium of Franklin and Marshall College and Millersville University, Lancaster, PA, April 2004.
[1] Problems in Quantum Entanglement. Tetrahedral Geometry and Topology Seminar, Hempfield, PA, October 2003.

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