About
PhD in Mathematics from Princeton University in 1964. Since 1985, full professor at UMBC, serving as Founding Chair of Computer Science Department 1985-1991. Internationally known for his many contributions to mathematics and computer science. Current research is focused on quantum computation.
Research interests
Quantum Computation, Quantum Information Science, Quantum Entanglement, Quantum Algorithms, Topological Quantum Computation, Quantum Logic, Algebraic Coding Theory, Symbolic Computation, Applications of Topology, Knot Theory, Theory of Manifolds, Lie Groups, Quantum Field Theory, Symbolic Arithmetic, Algebraic Topology, Differential Topology, Differential Geometry, Quantum Logic
Teaching interests
Quantum Computation, Quantum Information Science, Algebraic Coding Theory, Symbolic Computation, Numerical Computation, Discrete Mathematics, Applications of topology, Modern Algebra, Lie Groups, Differential Geometry, Algebraic Geometry.
Publications
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Quantum Knots and Knotted Zeros
2019
SPIE Proc. on Quantum Information & Computation XVII, (2019).
Louis H Kauffman, Samuel J Lomonaco
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How to build a device that cannot be built
2016
Journal of Quantum Information Processing, Springer-Verlag · 15 (3) · pp. 1043-1056
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Howard E. Brandt, Ph.D.: Personal recollections
2016
Howard E. Brandt, Ph.D. · Journal of Quantum Information Processing, Springer-Verlag · 15 (3) · pp. 1019-1024
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Braiding with Majorana Fermions
2016
SPIE Proc. on Quantum Information & Computation IX · 9500
Louis H Kauffman, Samuel J Lomonaco
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Quantum Diagrams and Quantum Networks 2014
SPIE Proc. on Quantum Information & Computation XII · 9173 · pp. 91230P-1 to 91230 p-14
Louis H Kauffman, Samuel J Lomonaco
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Symbolic Arithmetic and Integer Factorization
2013
Submitted
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Quantizing Braids and Other Mathematical Objects: The General Quantization Procedure
2011
Proceedings of SPIE, Quantum Information and Computation · 8057 · pp. 805702-1 to 805702-14
Samuel J Lomonaco, Louis H Kauffman
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Quantizing Knots and Beyond
2011
Proceedings of SPIE, Quantum Information and Computation · 8057 · pp. 805702-1 to 805702-14
Samuel J Lomonaco, Louis H Kauffman
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A Rosetta Stone for Quantum Mechanics with an Introduction to Quantum Computation
2010
Quantum Information Science and Its Contributons to Mathematics, · AMS Proceedings in Applied Mathematics · 68 · pp. 279-341
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NMR Quantum Calculations of the Jones Polynomial
2010
Physical Review A
Samuel J Lomonaco, Raimund Marx, Amr Fahmy, Louis Kauffman, Andreas Sporl, Nikolas Pomplun, John Myers, Steffen J Glaser
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Quantum Algorithms for the Jones Polynomial
2010
Quantum Information Science and Its Contributons to Mathematics · Proceedings of SPIE, Quantum Information and Computation · 68 · pp. 7702-03-1 to 7702-03-13
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Quantum Information Science and Its Contributons to Mathematics
2010
AMS Proceedings in Applied Mathematics · 68 · pp. 341
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Quantum Knots and Lattices, or a Blueprint for Quantum Systems that Do Rope Tricks 2010
Quantum Information Science and Its Contributons to Mathematics, · AMS Proceedings of Applied Mathematics · 68 · pp. 209-276
Samuel J Lomonaco, Louis H Kauffman
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Quantum Knots and Mosaics
2010
Quantum Information Science and Its Contributons to Mathematics · AMS Proceedings in Applied Mathematics · 68 · pp. 177-208
Samuel J Lomonaco, Louis H Kauffman
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Topological Quantum Information Theory
2010
Quantum Information Science and Its Contributons to Mathematics · AMS Proceedings in Applied Mathematics · 68 · pp. 103-176
Samuel J Lomonaco, Louis H Kauffman
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Quantum Algorithms for the Colored Jones Polynomials 2009
Proceedings of SPIE, Quantum Information and Computation · 7342 · pp. 7342O-1 to 7342O-11
Samuel J Lomonaco, Louis H Kauffman
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A Quantum Manual for Computing the Jones Polynomial
2008
Proc. SPIE on Quantum Information & Computation VI · 6976 · pp. 69760K-1 to 69760K-4
Samuel J Lomonaco, Louis H Kauffman
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Quantum Knots and Mosaics
2008
Journal of Quantum Information Processing · 7 (2-3) · pp. 85-115
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The Fibonaccii Model and the Temperley-Lieb Algebra
2008
International Journal Modern Phys. B · 22 (29) · pp. 5065-5080
Samuel J Lomonaco, Louis H Kauffman
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Topological Quantum Computing and SU(2) Braid Group Representations
2008
Proceedings of SPIE, Quantum Information and Computation · 6976 · pp. 69760M-1 to 69760M-13
Samuel J Lomonaco, Louis H Kauffman
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Unitary Representations of the Artin Braid Groups and Quantum Algorithms for Colored Jones Polynomials and the Witten-Reshetikhin-Turaev Invariants 2008
Proceedings of the Nankai International Conference in Memory of Xia-Song Lin, Nankai Tracts in Mathematics, · 12 · pp. 172-194
Samuel J Lomonaco, Louis H Kauffman
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A 3-Stranded Quantum Algorithm for the Jones Polynomial
2007
Proceedings of SPIE, Quantum Information and Computation · 6573 · pp. 65730T-1 -65730T-13
Samuel J Lomonaco, Louis H Kauffman
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Is Grover's Algorithm a Quantum Hidden Subgroup Algorithm ?
2007
Journal of Quantum Information Processing · 6 (6) · pp. 461-476
Samuel J Lomonaco, Louis H Kauffman
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Quantum Hidden Subgroup Algorithms: An Algorithmic Toolkit
2007
The Mathematics of Quantum Computation and Quantum Technology · Chapman & Hall/CRC · pp. 3-46
Samuel J Lomonaco, Louis H Kauffman
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Knots and Physics
In Preparation; Not Yet Submitted
Roger Fenn, Louis H Kauffman, Samuel J Lomonaco
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Analyzing the Quantum Annealing Approach for Solving Linear Least Squares Problems
Ajinkya Borle, Samuel J Lomonaco
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Quantum Knots and Zeros
SPIE Proc. on Quantum Information & Computation IX · Accepted
Louis H Kauffman, Samuel J Lomonaco
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Braiding, Majorana Fermions and Topological Quantum Computing
Journal of Quantum Information Processing · pp. 68 pages · Accepted
Louis H Kauffman, Samuel J Lomonaco
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Quantum Fourier Sampling is Always Guaranteed to Fail to Compute Automorphism Groups of Easy Graphs
58th Annual IEEE Symposium on Foundations of Computer Science · Under Review
Omar Shehab, Samuel J Lomonaco
Presentations
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Quantum Knots and Mosaics Revisited. 2020
ANPA 2020 · ANPA · Lecture
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Reigemeister moves as simple homotopy moves 2020
Knots in Washington XLIX · George Washington University · Oral Presentation
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My Ongoing Struggle with Quantum Entanglement 2019
Knots in Washington XLVIII · George Washington University · Oral Presentation
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Invariants of Quantum Entanglement 2018
ANPA39 · ANPA · Lecture
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How to Build a Device that Cannot Be Built 2016
Joint Meeting of TIMC and AMS, Varanasi, India · The India Mathematics Consortium (TIMC) & the American Mathematics Society (AMS) · Lecture
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Quantum Knots and their Applications 2016
Quantum Stochstic Differential Equations for the Quantum Simulation of Physical Systems · Army Research Laboratories · Lecture
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How to Build a Device that Cannot Be Built 2016
Vigier X Symposium, Unified field Theory II, Portonovo, Italy · Lecture
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The Geometry of Fox's Free Calculus with Applications to Higher Dimensional Knots 2016
Knots in Hellas 2016, Olympia, Greece · International Olympic Academy, Olympia, Greece · Lecture
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The Geometry of Fox's Free Calculus with Applications to Higher Dimensional Knots 2016
Knots in Hellas, Olympia, Greece · Internationaal Olympic Academy, Olympia, Greece · Lecture
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The Geometry of Fox's Free Calculus with Applications in Higher Dimensional Knot Theory 2015
Knots in Washington · George Washington University · Oral Presentation
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Distributed Quantum Algorithms 2015
Army Research Labs Quantum Seminar · Army Research Laboratory, Adelphi, Maryland (ARL-Adelphi) · Oral Presentation
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How to build a device that cannot be built 2015
SPIE Defense & Commercial Sensing Conference: Special Session of Quantum Computation & Information XIII · SPIE · Oral Presentation
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Quantum Braids & Topological Quantum Computation 2015
Knots and their Applications · National Science Foundation · Keynote/Plenary Address
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How to Use the GHZ Paradox to Construct Non-Classical Computing Devices 2014
SPIE DSS, Special Session on Quantum Computation · SPIE · Oral Presentation
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The Geometry of Fox's Free Calculus with Applications to Higher Dimendional Knots 2014
Americam Mathematical Society (AMS) Meeting at UMBC, Special Session on Knots and Applications · American Mathematical Society (AMS) · Oral Presentation
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The Strange World of Quantum Computing 2014
NASA Goddard Engineering Colloquium · NASA · Keynote/Plenary Address
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The Geometry of the Fox Free Calculus 2013
Algebraic Topology Seminar · Mathematics Department , Princeton University · Seminar
Grants and Contracts
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QII-TAQS Preliminary Proposal: Topological Quantum Computing 2020
National Science Foundation · Grant · Not Funded
Samuel J Lomonaco (Co-Principal), Louis H Kauffman (Principal), Jonathan Schneider (Co-Principal)
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NASA Roses 2017- Advanced Information Systems NNH16ZDA001N-AIST16-0091 “Computational Technologies: "An Assessment of Hybrid Quantum Annealing for Inferring and Assimilating Satellite Surface Flux Data into Global Land Surface Models". 2017
NASA · Grant · In-Progress
Milt Halem (Principal), Samuel J Lomonaco (Other)
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MSRI Workshop and Conference on Topological Quantum Computing 2015
Mathematical Sciences Research Institute (MSRI), Berkeley, CA · Grant · Not Funded
Samuel J Lomonaco (Principal), Louis H Kauffman (Co-Principal)
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Quantum Knots and Quantum Vortices 2015
Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany · Sponsored Research · Funded
Samuel J Lomonaco (Principal), Louis H Kauffman (Principal), Jozef Przytycki (Principal), Robert M Owczarek (Principal)
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A Quantum-Hybrid Approach To Estimating Terrestrial Carbon Fluxes with Remote Sensing and Models 2015
NASA · Grant · Funded
Samuel J Lomonaco (Supporting), Omar Shehab (Other)
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Distributed Control of Qubits via a Quantum Network 2015
Army Research Laboratory · Grant · Not Funded
Samuel J Lomonaco (Principal), Li Yan (Co-Principal), Yanhua Shih (Co-Principal)
Research in Progress
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The algorithmic complexity of Simon's algorithm as a function of decoherence 2023
Scholarly · On-Going
Samuel J Lomonaco, Reece Robertson
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Iterated Schmidt Decomposition of Quantum States 2022
Scholarly · On-Going
Samuel J Lomonaco, Mark Laczin, John Myers
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The Noether charges of quantum entanglement 2018
Scholarly · On-Going
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Quantum Fourier Sampling is Guaranteed to Fail to Compute Automorphism Groups of Easy Graphs
Scholarly · Writing Results
Courses Taught
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Pre Doctoral Research
898 · Spring 2022
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Coding and Information Theory
442/653 · Spring 2022
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Discrete Structures
203 · Spring 2022
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Pre Doctorial Candadacy Research
CMSC 898 · Spring 2019
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Quantum Computation
CMSC 643 · Spring 2019
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Design and Analysis of Algorithms
CMSC 441 · Spring 2019
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Pre Doc Candidacy Research
CMSC 898 · Spring 2018
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Master's Thesis
CMSC 799 · Spring 2018
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Symbolic Computation
CMSC 656 · Spring 2018
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Quantum Computation
CMSC 643 · Spring 2018
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Symbolic Computation
CMSC 456 · Spring 2018