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[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.
|
|
[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 ]
|
|
[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.
|