Professor Samuel James Lomonaco Jr.

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.

Education

  • Ph D, Mathematics — Princeton University (1964)
    An algebraic theory of local knottedness
  • BS, Mathematics — St. Louis University (1961)

Publications

Presentations

  • Quantum Knots and Mosaics Revisited. 2020 ANPA 2020 · ANPA · Lecture
  • Reigemeister moves as simple homotopy moves 2020 Knots in Washington XLIX · George Washington University · Oral Presentation
  • My Ongoing Struggle with Quantum Entanglement 2019 Knots in Washington XLVIII · George Washington University · Oral Presentation
  • Invariants of Quantum Entanglement 2018 ANPA39 · ANPA · Lecture
  • 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
  • Quantum Knots and their Applications 2016 Quantum Stochstic Differential Equations for the Quantum Simulation of Physical Systems · Army Research Laboratories · Lecture
  • How to Build a Device that Cannot Be Built 2016 Vigier X Symposium, Unified field Theory II, Portonovo, Italy · Lecture
  • 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
  • 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
  • The Geometry of Fox's Free Calculus with Applications in Higher Dimensional Knot Theory 2015 Knots in Washington · George Washington University · Oral Presentation
  • Distributed Quantum Algorithms 2015 Army Research Labs Quantum Seminar · Army Research Laboratory, Adelphi, Maryland (ARL-Adelphi) · Oral Presentation
  • 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
  • Quantum Braids & Topological Quantum Computation 2015 Knots and their Applications · National Science Foundation · Keynote/Plenary Address
  • How to Use the GHZ Paradox to Construct Non-Classical Computing Devices 2014 SPIE DSS, Special Session on Quantum Computation · SPIE · Oral Presentation
  • 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
  • The Strange World of Quantum Computing 2014 NASA Goddard Engineering Colloquium · NASA · Keynote/Plenary Address
  • The Geometry of the Fox Free Calculus 2013 Algebraic Topology Seminar · Mathematics Department , Princeton University · Seminar

Grants and Contracts

  • 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)
  • 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)
  • 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)
  • 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)
  • 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)
  • 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

  • The algorithmic complexity of Simon's algorithm as a function of decoherence 2023 Scholarly · On-Going Samuel J Lomonaco, Reece Robertson
  • Iterated Schmidt Decomposition of Quantum States 2022 Scholarly · On-Going Samuel J Lomonaco, Mark Laczin, John Myers
  • The Noether charges of quantum entanglement 2018 Scholarly · On-Going
  • Quantum Fourier Sampling is Guaranteed to Fail to Compute Automorphism Groups of Easy Graphs Scholarly · Writing Results

Courses Taught

  • Pre Doctoral Research 898 · Spring 2022
  • Coding and Information Theory 442/653 · Spring 2022
  • Discrete Structures 203 · Spring 2022
  • Pre Doctorial Candadacy Research CMSC 898 · Spring 2019
  • Quantum Computation CMSC 643 · Spring 2019
  • Design and Analysis of Algorithms CMSC 441 · Spring 2019
  • Pre Doc Candidacy Research CMSC 898 · Spring 2018
  • Master's Thesis CMSC 799 · Spring 2018
  • Symbolic Computation CMSC 656 · Spring 2018
  • Quantum Computation CMSC 643 · Spring 2018
  • Symbolic Computation CMSC 456 · Spring 2018