LVC Mathematical Physics Research Group

Publications

[12] Curt D. Cenci, David W. Lyons, Laura M. Snyder, and Scott N. Walck. Symmetric states: local unitary equivalence via stabilizers. July 2010. arXiv:1007.3920v1 [quant-ph]. [ DOI | journal | e-print ]
[11] 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 ]
[10] 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 ]
[9] David W. Lyons. Survey of Hopf fibrations and rotation conventions in mathematics and physics. arXiv:0808.3089v2 [math-ph], September 2008. [ e-print ]
[8] 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:0707.4428v2 [quant-ph]. [ DOI | journal | e-print ]
[7] 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:0709.1105v3 [quant-ph]. [ DOI | journal | e-print ]
[6] Scott N. Walck and David W. Lyons. Maximum stabilizer dimension for nonproduct states. Phys. Rev. A, 76:022303, 2007. arXiv:0706.1785v2 [quant-ph]. [ DOI | journal | e-print ]
[5] 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/0506241v3. [ DOI | journal | e-print ]
[4] Scott N. Walck, James K. Glasbrenner, Matthew H. Lochman, and Shawn A. Hilbert. Topology of the three-qubit space of entanglement types. Phys. Rev. A, 72:052324, 2005. arXiv:quant-ph/0507208v2. [ DOI | journal | e-print ]
[3] 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/0503052v2. [ DOI | journal | e-print ]
[2] David W. Lyons. An elementary introduction to the Hopf fibration. Mathematics Magazine, 76(2):87-98, 2003. [ journal | e-print ]
[1] S. N. Walck and N. C. Hansell. Characterization and visualization of the state and entanglement of two spins. Eur. J. Phys., 22:343-350, 2001. [ DOI | journal ]

Presentations

[36] Adam B. Hansell. One dimensional stabilizers for 2-, 3-, and 4-qubit states. Eastern Pennsylvania and Delaware Section of the Mathematical Association of America, Elizabethtown College, April 2010.
[35] David W. Lyons. Some questions about local unitary stabilizers. Theory of Quantum Computation, Communication and Cryptography 2010, Leeds, UK, April 2010.
[34] Laura M. Snyder. Classifying two-qubit states by their subsystems. American Association of Physics Teachers Central Pennsylvania Section Meeting, LaSalle University, March 2010.
[33] Curt D. Cenci. Quantum Information and 1-dimensional Stabilizers in Multiparty States. Mathematical Association of America Undergraduate Poster Session, Joint Meetings of the American Mathematical Society and the Mathematical Association of America, San Francisco, CA, January 2010.
[32] Scott N. Walck. Local unitary stabilizers and multipartite entanglement. Plenary Lecture at the Symposium on Optical Interactions and Quantum Systems, University of Rochester, October 2009.
[31] Scott N. Walck. Only n-qubit Greenberger-Horne-Zeilinger states contain n-partite information. 40th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics, Charlottesville, Virginia, May 2009.
[30] David W. Lyons. Quantum entanglement: When the whole is more than the sum of the parts. Lebanon Valley College Faculty Colloquium, Annville, PA, March 2009.
[29] Stephanie A. Blanda. Classifying States With Near Maximum Entanglement. Moravian College Student Mathematics Conference, Moravian College, February 2009.
[28] Stephanie A. Blanda. Multiparty Quantum States with Nearly Maximal Stabilizer. AMS Session on Quantum Theory and Fluid Mechanics, Joint Meetings of the American Mathematical Society and the Mathematical Association of America, Washington, DC, January 2009.
[27] Stephanie A. Blanda. Multiparty Quantum States with Nearly Maximal Stabilizer. Disappearing Boundaries Symposium Poster Session, Lebanon Valley College, October 2008.
[26] David W. Lyons. Classification of Multi-party Quantum Entanglement: Continuing Work. Tetrahedral Geometry and Topology Seminar, Hempfield, PA, October 2008.
[25] David W. Lyons. An Application of Combinatorics in Quantum Information. Virginia Commonwealth University Discrete Mathematics Seminar, Richmond, VA, October 2008.
[24] David W. Lyons. Quantum Information and Entanglement. Virginia Commonwealth University Mathematical Expositions Talk, Richmond, VA, October 2008.
[23] David W. Lyons. Entanglement Classification Using Stabilizer Subalgebras. Susquehanna University Research Experience for Undergraduates in Quantum Information Theory, Selinsgrove, PA, July 2008.
[22] David W. Lyons. Maximum Stabilizer Dimension for Multiparty States. University of Bristol Quantum Computation and Information Seminar, Bristol, UK, February 2008. [ slides ]
[21] David W. Lyons. Maximum Stabilizer Dimension for Multiparty States. University of York Quantum Information Seminar, York, UK, January 2008.
[20] Stephanie A. Blanda. Quantum Information and 4-Qubit States. EPaDel Section of the Mathematical Association of America, Drexel University, November 2007. [ slides ]
[19] Stephanie A. Blanda. Quantum Information and 4-Qubit States. Disappearing Boundaries Symposium Poster Session, Lebanon Valley College, October 2007.
[18] David W. Lyons. Hamilton, Hopf and Bloch. Joint Math Colloquium of Franklin and Marshall College and Millersville University, Millersville, PA, April 2007.
[17] Daniel A. Pitonyak. Quantum Computation, Quantum Information, and Irreducible n-qubit Entanglement. Moravian College Student Mathematics Conference, Moravian College, February 2007. [ slides ]
[16] Robert Schaeffer. Computations of Quantum Entanglement. Shenandoah Undergraduate Mathematics and Statistics Conference, James Madison University, October 2006.
[15] Daniel A. Pitonyak. Irreducible n-qubit Entanglement. Disappearing Boundaries Symposium Poster Session, Lebanon Valley College, September 2006.
[14] Robert Schaeffer. Quantum Entanglement Computations. Disappearing Boundaries Symposium Poster Session, Lebanon Valley College, September 2006.
[13] Scott N. Walck. Classifying Quantum Entanglement Using the Local Unitary Group Action. Tetrahedral Geometry and Topology Seminar, Hempfield, PA, September 2006. [ slides ]
[12] Scott N. Walck. Classifying Quantum Entanglement Using the Local Unitary Group Action. Tetrahedral Geometry and Topology Seminar, Hempfield, PA, Spring 2006.
[11] David W. Lyons. 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.
[10] James K. Glasbrenner. Types of Three-Qubit Entanglement. Lebanon Valley College Science Colloquium Poster Session, Fall 2005.
[9] David W. Lyons. 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.
[8] David W. Lyons. Rotations, Quaternions and the Hopf Map. Joint Math Colloquium of Franklin and Marshall College and Millersville University, Lancaster, PA, April 2004.
[7] David W. Lyons. Problems in Quantum Entanglement. Tetrahedral Geometry and Topology Seminar, Hempfield, PA, October 2003.
[6] David W. Lyons. Quantum Information. Lebanon Valley College Faculty Colloquium, Annville, PA, April 2003.
[5] Nicholas Hamblet. Computer Animation of the Hopf Fibration. Joint Meetings of the American Mathematical Society and the Mathematical Association of America Student Poster Session, Baltimore, January 2003.
[4] Jonathan Pitt. Stationary 2-qubit Quantum States. Joint Meetings of the American Mathematical Society and the Mathematical Association of America Student Poster Session, Baltimore, January 2003.
[3] Scott N. Walck. Bloch-Sphere-Based Visualization of Quantum Systems. Gordon Conference on Physics Research and Education in Quantum Mechanics Poster Session, Mount Holyoke College, South Hadley, MA, 2002.
[2] Scott N. Walck. Topological Decomposition of Composite Quantum State Spaces. International Conference on Quantum Information, University of Rochester, Rochester, NY, 2001.
[1] Scott N. Walck. More Than Four: States of a Two-Bit Quantum Computer. Lehigh University, Bethlehem, PA, 2000.

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