Samuel J. Lomonaco, Jr.
Home Page
Representative Publications
- Lomonaco, Samuel J., and Louis H. Kauffman, Quantum Knots and Mosaics, (to appear).
- Lomonaco, Samuel J., and Louis H. Kauffman, A Quantum Manual for the Jones Polynomial,
Proc. SPIE, (2008), (to appear).
- Lomonaco, Samuel J., Jr., and Louis H. Kauffman,
Is Grover's Algorithm a Quantum Hidden Subgroup Algorithm ?,
Journal of Quantum Information Processing, Vol. 6, No. 6, (2007), 461-476.
http://xxx.lanl.gov/abs/quant-ph/0603140
- Kauffman, Louis H. and Samuel J. Lomonaco, Jr.,
A 3-Stranded Quantum Algorithm for the Jones Polynomial,
Proc. SPIE, vol. 6573, (2007), 65730T-1 -65730T-13.
http://arxiv.org/abs/0706.0020
- Lomonaco, Samuel J., Jr., and Louis H. Kauffman,
Quantum Hidden Subgroup Algorithms:
An Algorithmic Toolkit,
in
"The Mathematics of Quantum Computation and Quantum Technology,"
Chen, Kauffman, Lomonaco, (eds.), Chapman & Hall/CRC, (2007), pp 3-46.
http://xxx.lanl.gov/abs/quant-ph/0607046
- Kauffman, Louis H. and Samuel J. Lomonaco,
Quantum Computing and Quantum Topology,
in
"The Mathematics of Quantum Computation and Quantum Technology,"
Chen, Kauffman, Lomonaco, (eds.), Chapman & Hall/CRC, (2007), pp 409-514.
- Chen, Goong, Louis Kauffman, and Samuel J. Lomonaco, (eds.),
"The Mathematics of Quantum Computation and Quantum Topology,"
Chapman & Hall/CRC, (2007)
ISBN 978-1-58488-899-4
- Kauffman, Louis H. and Samuel J. Lomonaco, Jr.,
q - Deformed Spin Networks,
Knot Polynomials, and Anyonic Topological Quantum Computation,
Journal of Knot Theory, Vol. 16, No. 3, (2007), pp 267-332.
http://xxx.lanl.gov/abs/quant-ph/0606114
- Kauffman, Louis H. and Samuel J. Lomonaco, Jr.,
Spin Networks and Anyonic Topological Computing II,
Proc. SPIE, vol. 6573, (2007), 65730U-1 -65730U-13.
http://arxiv.org/abs/0707.3678
- Lomonaco, Samuel J., Jr., and Louis H. Kauffman,
Topological Quantum Computing and
the Jones Polynomial,
Proc. SPIE, Vol. 6244, (2006),
http://xxx.lanl.gov/abs/quant-ph/0605004
- Kauffman, Louis H., and Samuel J. Lomonaco, Jr.,
Spin Networks and
Anyonic Topological Computing, Proc. SPIE, Vol. 6244, (2006),
http://xxx.lanl.gov/abs/quant-ph/0603131
- Lomonaco, Samuel J., Jr., and Louis H. Kauffman,
A Continuous Variable Shor Algorithm, AMS CONM/381, 2005, 97-108.
http://xxx.lanl.gov/abs/quant-ph/0210141
- Yimsiriwattana, Anocha, and Samuel J. Lomonaco, Jr.,
Generalized GHZ states and distributed quantum computing,
AMS CONM/381, 2005, 131-147
http://xxx.lanl.gov/abs/quant-ph/0402148"
- Lomonaco, Samuel J., Jr., and Louis H. Kauffman,
Quantum hidden subgroup algorithms: The devil is in the details,
Proc. SPIE, (2004).
http://xxx.lanl.gov/abs/quant-ph/0403229"
- Kauffman, Louis H., and Samuel J. Lomonaco, Jr.,
Quantum Knots,
Proc. SPIE, (2004).
http://xxx.lanl.gov/abs/quant-ph/0403228"
- Yimsiriwattana, Anocha, and Samuel J. Lomonaco, Jr.,
Distributed Quantum computing: A distributed Shor algorithm,
Proc. SPIE, (2004).
http://xxx.lanl.gov/abs/quant-ph/0403146"
- Kauffman, Louis H., and Samuel J. Lomonaco, Jr.,
Braiding operators are universal quantum gates,
New Journal of Physics, vol. 6, (2004), 134
PDF
HTML
http://xxx.lanl.gov/abs/quant-ph/0401090
- Kauffman, Louis H., and Samuel J. Lomonaco, Jr.,
Entanglement Criteria - Quantum and Topological,
Proc. SPIE, Vol. 5105, 8, (2003), 51 - 58.
http://xxx.lanl.gov/abs/quant-ph/0304091
- Lomonaco, Samuel J., Jr., and Louis H. Kauffman,
Continuous Quantum Hidden Subgroup Algorithms,
Proc. SPIE, Vol. 5105, 11, (2003), 80 - 88.
http://xxx.lanl.gov/abs/quant-ph/0304084
PDF Copy of PowerPoint lecture
PDF
- Kauffman, Louis H., and Samuel J. Lomonaco, Jr.,
Quantum Entanglement and Topological Entanglement,
New Journal of Physics, vol. 4, (2002), 73.1 - 73.18
PDF,
HTML
- Kauffman, Louis H., and Samuel J. Lomonaco, Jr.,
Comparing Quantum Entanglement and Topological Entanglement,
Proc. ANPA 23, (2002), 135 - 160.
http://xxx.lanl.gov/abs/quant-ph/0205137
- Lomonaco, Samuel J., Jr., and Howard E. Brandt, (eds.),
Quantum Computation and Information,"
AMS CONM, vol. 305, American Mathematical Society,
Providence, RI, (2002).
- Lomonaco, Samuel J., Jr., and Louis H. Kauffman,
Quantum hidden subgroup problems: A mathematical perspective,
AMS CONM, vol. 305, (2002), 139 - 202.
http://xxx.lanl.gov/abs/quant-ph/0201095
- Lomonaco, Samuel J., Jr., (ed.), "Quantum Computation:
A Grand Mathematical Challenge for the
Twenty-First Century and the Millennium,"
Proceedings of the Symposia of Appled Mathematics,
vol. 58,
American Mathematical Society,
Providence, Rhode Island, (2002).
Lomonaco, Samuel J., Jr.,
A Rosetta stone for quantum mechanics
with an introduction
to quantum computation,
PSAPM, vol. 58, AMS, Providence, RI, (2002), 3 - 65.
Lomonaco, Samuel J., Jr.,
Shor's quantum factoring algorithm,
AMS PSAPM, vol. 58, (2002), 161 - 179.
Lomonaco, Samuel J., Jr.,
Grover's quantum search algorithm,
AMS PSAPM, vol. 58, (2002), 181 - 192.
Lomonaco, Samuel J., Jr.,
A talk on quantum cryptography or How Alice outwits Eve,
AMS PSAPM, vol 58, (2002), 237 - 264.
Also published in
"
Coding Theory and Cryptography: From the Geheimschreiber
and Enigma to Quantum Theory," (ed. D. Joyner),
Lecture Notes
in Computer Science and Engineering,
Springer-Verlag, 1999 (pp. 144-174).
Lomonaco, Samuel J., Jr.,
An Entangled Tale of Quantum Entanglement,
AMS PSAPM, vol. 58, (2002), 305 - 349.
Lomonaco, Samuel J., Jr., A quick glance at quantum cryptography,
Cryptologia, Vol. 23, 1, (1999), 1 - 41.
Brandt, Howard E., John M. Meyers, and Samuel J. Lomonaco, Jr.,
Aspects of entangled translucent eavesdropping in
quantum cryptography,
Phys. Rev. A, Vol. 56, No. 6, December 1997, pp. 4456 - 4465.
Lomonaco, Samuel J., Jr., The modern legacies of Thomson's atomic vortex theory in
classical electrodynamics, in "The Interface of
Knots and Physics," edited by
L.H. Kauffman, AMS PSAPM, Vol. 51, Providence, RI
(1996), pp. 145 - 166. (Invited paper)
This paper is based on a one hour invited lecture given at the
American Mathematical Society (AMS) Short Course on Knots and Physics
at the Annual meeting of the AMS in January 1995 held in
San Francisco, California.
Sabin, Roberta, and Samuel J. Lomonaco, Jr.,
Metacyclic error-correcting codes,
Journal of Algebraic Applications in Engineering, Communication,
and Computing (AAECC), Vol. 6, No. 3 (1995), pp 191 - 210.
Conway, John H., Samuel J. Lomonaco, Jr., and Neil J.A. Sloane,
A [45,13] code with minimal distance 16,
Journal of Discrete
Mathematics, Special Issue on Coding
Theory, 85 (1990), pp 213 - 217. (invited paper)
Lomonaco, Samuel J., Jr., Finitely ended knots are quasi-aspherical," in
"Algebraic and Differential Topology- Global Differential Geometry," Special volume dedicated
to Marston Morse, edited by George M. Rassias, Teubner Publishers (Leipzig),
Germany, (1984), 192 - 197. (Invited paper.)
Lomonaco, Samuel J., (ed.), "Low Dimensional Topology,"
AMS CONM, vol. 20, Providence, Rhode Island, (1983).
Lomonaco, Samuel J., Jr., Five dimensional knot theory, in "Low Dimensional Topology,
"Contemporary Mathematics Series of the American Mathematics
Society, Providence,
Rhode Island, Vol. 20 (1984), pp 249 - 270.
Lomonaco, Samuel J., Jr., The homotopy groups of knots I. How to compute
the algebraic 3-type, Pacific Journal of Mathematics, Vol. 95, No. 2
(1981), pp 349 - 390.
Lomonaco, Samuel J., Jr., Homology of group systems with applications to low
dimensional topology, Bulletin of the American Mathematics Society,
Vol. 13, No. 3 (1980), pp 1049 - 1052.
Gross, Jonathan, and Samuel Lomonaco, A determination of the genus of the toroidal K-metacyclic
groups, Journal of Graph Theory,
Vol. 4, No. 2, (1980), pp 165 - 172.
Baum, Leonard, Norman Hertberg, Samuel Lomonaco, and Melvin Sweet,
Fields of almost periodic sequences,
Journal of
Combinatorial Theory, Series A, 22, No. 2 (1977), pp 169 - 180.
Lomonaco, Samuel J., Jr., The third homotopy group of some higher
dimensional knots,
in "Knots, Groups, and 3-Manifolds,"
(L.P. Neuwirth, ed.), Annals of Mathematics Studies, 84,
Princeton University Press, (1975), 35 - 45.
Lomonaco, Samuel J., Jr., The fundamental ideal and Pi2 of higher dimensional knots,
AMS Proc., 88, (1973), 431 - 433.
Andrews, J.J., and S.J. Lomonaco, Jr., The second homotopy group of spun 2-spheres in 4-space,
Annals of Mathematics, 90 (1969),
pp 199 - 204.
Lomonaco, S.J., Jr., The second homotopy group of a spun knot,
Topology, Vol. 8 (1969), pp 95 - 98.
Andrews, J.J., and S.J. Lomonaco, Jr., The second homotopy group of spun 2-spheres in 4-space,
Bulletin of the American Mathematical Society,
Vol. 75, No. 1 (1969), pp 169 - 171.
Lomonaco, Samuel J., Jr., Uncountably many mildly wild non-Wilder arcs,
Proceedings of the American Mathematical Society, Vol. 19, No. 4
(1968), pp 895 - 898.
Lomonaco, Samuel J., Jr., An algebraic theory of local knottedness I,
Transactions of the American Mathematics Society, Vol. 129, No. 2,
(1967), pp. 322 - 343.
