2024
- J.M. Henderson, E.R. Henderson, C.A. Harper, H. Shahoei, W.V. Oxford, E.C. Larson, D.L. MacFarlane and M.A. Thornton, "A Photonic Physically Unclonable Function's Resilience to Multiple-Valued Machine Learning Attacks," IEEE Symposium on Multiple-Valued Logic (ISMVL), Forthcoming May 28-30, 2024.
- E.R. Henderson, J.M. Henderson, H. Shahoei, W.V. Oxford, E.C. Larson, D.L. MacFarlane and M.A. Thornton, "Designing a Photonic Physically Unclonable Function Having Resilience to Machine Learning Attacks," SPIE Quantum Information Science, Sensing, and Computation XVI (SPIE), Forthcoming April 21-25, 2024.
- E.R. Henderson, J.M. Henderson, W.V. Oxford and M.A. Thornton, "Automated Quantum Circuit Generation for Computing Inverse Hash Functions," SPIE Quantum Information Science, Sensing, and Computation XVI (SPIE), Forthcoming April 21-25, 2024.
2023
- D.L. MacFarlane, H. Shahoei, I.G. Achu, E. Stewart, W.V. Oxford and M.A. Thornton, "Multiple-Valued Physically Unclonable Function in Photonic Integrated Circuits," IEEE Symposium on Multiple-Valued Logic (ISMVL), May 22-24, 2023, pp. 184-189.
- A. Sinha, E.R. Henderson, J.M. Henderson, E.C. Larson and M.A. Thornton, "A Programmable True Random Number Generator using Commercial Quantum Computers," SPIE 12517, Quantum Information Science, Sensing, and Computation XV, April 30-May 4, 2023, 1251705 (15 pp.), publication date June 13, 2023.
- J.M. Henderson, E.R. Henderson, A. Sinha, M.A. Thornton and D.M. Miller, "Automated Quantum Oracle Synthesis with a Minimal Number of Qubits," SPIE 12517, Quantum Information Science, Sensing, and Computation XV, April 30-May 4, 2023, 1251706 (18 pp.), publication date June 13, 2023.
2022
- A. Sinha, E.R. Henderson, J.M. Henderson and M.A. Thornton, "Automated Quantum Memory Compilation with Improved Dynamic Range," International Workshop on Quantum Computing Software (QCS22)/International Conference for High Performance Computing, Networking, Storage, and Analysis (SC22), 14 pp., November 13, 2022.
- H. Shahoei, I.G. Achu, E.J. Stewart, U. Tariq, W.V. Oxford, M.A. Thornton and D.L. MacFarlane, "Silicon Photonics 2×2 Trench Coupler Design and Foundry Fabrication," Applied Optics, 61(16):4927-4931, June 2022.
- A. Sinha and M.A. Thornton, "Quantum Multiple Valued Kernel Circuits," IEEE International Symposium on Multiple-Valued Logic (ISMVL), May 18-20, 2022, pp. 1-8.
2020
- K.N. Smith, D.L. MacFarlane and M.A. Thornton, "A Quantum Photonic TRNG Based on Quaternary Logic," IEEE International Symposium on Multiple-Valued Logic (ISMVL), November 9-11, 2020, pp. 164-169.
- M.A. Thornton, "Introduction to Quantum Computation Reliability," IEEE International Test Conference (ITC), November 2020, pp. 1-10.
2019
- K.N. Smith, J.M. Henderson, and M.A. Thornton, "Rotation Primitives in Quantum Compilation," International Workshop on Quantum Compilation (IWQC) affiliated with the IEEE/ACM International Conference on Computer-Aided Design (ICCAD), November 7, 2019, (refereed abstract and presentation).
- K.N. Smith and M.A. Thornton, "Entangled State Preparation for Non-Binary Quantum Computing," IEEE International Conference on Rebooting Computing (ICRC), November 6-8, 2019, pp. 71-79.
- K.N. Smith and M.A. Thornton, "Higher Dimension Quantum Entanglement Generators," ACM Journal on Emerging Technologies in Computing Systems, vol. 16, no. 1, article 3, October 2019, pp. 3-1 – 3-21.
- K.N. Smith and M.A. Thornton, "Quantum Logic Synthesis with Formal Verification," IEEE Midwest Symposium on Circuits and Systems (MWSCAS), August 4-7, 2019, pp. 73–76.
- K.N. Smith and M.A. Thornton, "A Quantum Computational Compiler and Design Tool for Technology-Specific Targets," in proc. IEEE Int. Symp. on Computer Architecture (ISCA), June 22-26, 2019, pp. 579 – 588.
- K.N. Smith, M. Soeken, B. Schmitt, G. De Micheli, and M.A. Thornton, "Using ZDDs in the Mapping of Quantum Circuits," Quantum Physics and Logic Conference (QPL), June 10-14, 2019, pp. 1 – 12.
- K.N. Smith and M.A. Thornton, "Entanglement in Higher-Radix Quantum Systems," IEEE International Symposium on Multiple-Valued Logic (ISMVL), May 21-24, 2019, pp. 114-119.
- M.A. Thornton and D.L. MacFarlane, "Quantum Photonic TRNG with Dual Extractor," in proc. International Conference on Networked Systems/Workshop on Quantum Technology and Optimization Problems (NetSys/QTOP), March 18-21, 2019, Springer-Verlag LNCS 11413, pp. 171-182.
2018
- K.N. Smith, T.P. LaFave, Jr., D.L. MacFarlane and M.A. Thornton, "Higher-Radix Chrestenson Gates for Optical Quantum Computation," Journal of Applied Logics, vol. 59, December 2018, pp. 1781-1798 (extended version of the 2018 ISMVL paper of same title).
- M.A. Thornton and M.A. Thornton, "Multiple-Valued Random Digit Extraction," IEEE Int. Symp. on Multiple-Valued Logic (ISMVL), May 16-18, 2018, pp. 162-167.
- K.N. Smith, T.P. LaFave, Jr., D. L. MacFarlane, and M.A. Thornton, "A Radix-4 Chrestenson Gate for Optical Quantum Computation," IEEE Int. Symp. on Multiple-Valued Logic (ISMVL), May 16-18, 2018, pp. 260-265.
2014
- D.Y. Feinstein and M.A. Thornton, "Quantum Multiple-valued Decision Diagrams: The Case of Skipped Variables," Journal of Multiple-Valued Logic and Soft Computing, vol. 24, no. 1-4, May 2014, pp. 93-108.
- M.A. Thornton, "Modeling Digital Switching Circuits with Linear Algebra," Springer-Nature Publishers, ISBN 978-3-031-79866-5 (hardcopy), ISBN 978-3-79867-2, April 2014.
2012
- D.Y. Feinstein and M.A. Thornton, "Reversible Logic Synthesis Based on Decision Diagram Variable Ordering," Journal of Multiple-Valued Logic and Soft Computing, vol. 19, no. 4, 2012, pp. 325-339.
- R. Kotamarti, M.A. Thornton and M.H. Dunham, "Quantum Computing Approach for Alignment-Free Sequence Search and Classification," Chapter 17 in Multidisciplinary Computational Intelligence Techniques, IGI Global Publishers,, DOI 10.4018/978-1-4666-1830-5, May 2012.
2009
- J. Rice, K. Fazel, M.A. Thornton and K. Kent, "Toffoli Gate Cascade Generation using ESOP Minimization and QMDD-based Swapping," Proceedings of the Workshop on Applications of the Reed-Muller Expansion in Circuit Design and Representations and Methodology of Future Computing Technology (RMW), May 22-23, 2009, pp. 63-72.
- D.Y. Feinstein and M.A. Thornton, "On the Guidance of Reversible Logic Synthesis by Dynamic Variable Reordering," IEEE International Symposium on Multiple-Valued Logic (ISMVL), May 21-23, 2009, pp. 132-138.
2008
- D.M. Miller and M.A. Thornton, "QMDD and Spectral Transformation of Binary and Multiple-Valued Functions," 8th International Workshop on Boolean Problems (IWBP), September 18-19, 2008, pp. 137-144.
- M.A. Thornton, D.W. Matula, L. Spenner, and D.M. Miller, "Quantum Logic Implementation of Unary Arithmetic Operations," IEEE International Symposium on Multiple-Valued Logic (ISMVL), May 22-23, 2008, pp. 202-207.
- D.Y. Feinstein, M.A. Thornton, and D.M. Miller, "On the Data Structure Metrics of Quantum Multiple-Valued Decision Diagrams," IEEE International Symposium on Multiple-Valued Logic (ISMVL), May 22-23, 2008, pp. 138-143.
- D.Y. Feinstein, D.M. Miller, and M.A. Thornton, "Partially Redundant Logic Detection Using Symbolic Equivalence Checking in Reversible and Irreversible Logic Circuits," IEEE/ACM Design, Automation and Test in Europe (DATE), March 10-14, 2008, pp. 1378-1381.
- D.M. Miller and M.A. Thornton, "Multiple-Valued Logic Concepts and Representations," Springer-Nature Publishers, ISBN 978-3-031-79778-1 (hardcopy), 978-3-031-79779-8 (eBook), December 2008.
2007
- K. Fazel, M.A. Thornton, and J. Rice, "ESOP-based Toffoli Gate Cascade Generation," IEEE Pacific Rim Conference on Communications, Computers and Signal Processing (PACRIM), August 22-24, 2007, pp. 206-209.
- D. Goodman, D.Y. Feinstein, M.A. Thornton and D.M. Miller, "Quantum Logic Circuit Simulation Based on the QMDD Data Structure," Proceedings of the Workshop on Applications of the Reed-Muller Expansion in Circuit Design and Representations and Methodology of Future Computing Technology (RMW), May 16, 2007, pp. 99-105.
- D.Y. Feinstein and M.A. Thornton, "ESOP Transformation to Majority Gates for Quantum-dot Cellular Automata Logic Synthesis," Proceedings of the Workshop on Applications of the Reed-Muller Expansion in Circuit Design and Representations and Methodology of Future Computing Technology (RMW), May 16, 2007, pp. 43-50.
- D.M. Miller, D.Y. Feinstein, and M.A. Thornton, "Variable Reordering and Sifting for QMDD," IEEE International Symposium on Multiple Valued Logic (ISMVL), May 14-16, 2007, Session 2B, paper 1.
- D.M. Miller, D.Y. Feinstein, and M.A. Thornton, "QMDD Minimization through Variable Reordering and Sifting," Journal of Multiple-Valued Logic and Soft Computing, vol. 13, no. 4-6, 2007, pp. 537-552.
2006
- D.M. Miller, M.A. Thornton, and D. Goodman, "A Decision Diagram Package for Reversible and Quantum Circuit Simulation," IEEE Congress on Evolutionary Computation (CEC), IEEE World Congress on Computational Intelligence (WCCI), July 16-21, 2006, pp. 8597-8604 (best paper of session).
- L. Li, M.A. Thornton, and M.A. Perkowski, "A Quantum CAD Accelerator Based on Grover’s Algorithm for Finding the Minimum Fixed Polarity Reed-Muller Form," IEEE International Symposium on Multiple Valued Logic (ISMVL), May 17-20, 2006, pp. 33-33.
2004
- M.A. Thornton and D.M. Miller, "Computation of Discrete Function Chrestenson Spectrum Using Cayley Color Graphs," Journal of Multiple Valued Logic and Soft Computing, vol. 2, no. 2, 2004, pp. 189-202.
- M.A. Thornton, "Mixed-radix MVL Function Spectral and Decision Diagram Representation," Automation and Remote Control, vol. 65, issue 6, June 2004, pp. 1007-1017, (invited paper).