2025: Noah A. Crum Leanto Sunny, Pooya Ronagh, Raymond Laamme, Radhakrishnan Balu, George Siopsis: Stochastic Security as a Performance Metric for Quantum-enhanced Generative AI, Accepted, Quantum Machine Intelligence (2025).
2024: C11. Eric D. Wetzel, Emil Sandoz-Rosado, Todd D. Beudet, Radhakrishnan Balu, John, J. LaScala, and Dominika N Lastovickova "Two-Dimensional Polymers Comprised of a Combination of Stiff and Compliant Molecular Units". Patent #: 12110367 (2024).
2023 M12: Gamal Mograby, Radhakrishnan Balu, Kasso A. Okoudjou, Alexander Teplyaev: Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs, J. Spectral Theory, Accepted (2023).
M13: Radhakrishnan Balu: Covariant Anyons via Mackey Machinery, Accepted, Journal of Stochastic Analysis (2023)
P09: Radhakrishnan Balu: Subfactors from graphs induced by association schemes, Accepted, International Journal of Theoretical Physics (2023).
Q10. Gamal Mograby, Radhakrishnan Balu, Kasso A. Okoudjou, and Alexander Teplyae: Quantitative approach to Grover’s quantum walk on graphs, Accepted, Quant. Inf. Proc., (2023).
2022
T1: Radhakrishnan Balu: Quantum walks on regular graphs with realizations in a system of anyons, Accepted J. Quant. Info, 2022 (arXiv:2109.10934).
T2: Gamal Mograby, Radhakrishnan Balu, Kasso A. Okoudjou, Alexander Teplyaev: Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs, Accepted J. Math. Phys (2022).
2021
M1. Balu, Radhakrishnan, (2021)"Covariant Ergodic Quantum Markov Semigroups via Systems of Imprimitivity," Journal of Stochastic Analysis: Vol. 2 : No. 4, Article 7. DOI: 10.31390/josa.2.4.0.7 Avaialble at:https://digitalcommons.lsu.edu/josa/vol2/iss4/7
P1: Shivani Singh, Cinthia H. Alderete, Radhakrishnan Balu, Christopher Monroe, Norbert M. Linke, C. M. Chandrashekar: Universal one-dimensional discrete-time quantum walks and their implementation on near term quantum hardware, J. Phys. A, 104, 062401 (2021).
2020
M1. Radhakrishnan Balu: Topological quantum structures from association schemesm Quantum Information Processing, (Accepted 2020).
Q1. C. Huerta Alderete, Shivani Singh, Nhung H. Nguyen, Daiwei Zhu, Radhakrishnan Balu, Christopher Monroe, C.M. Chandrashekar, and Norbert M. Linke: Quantum Walks and Dirac cellular automata on a programmable trapped-ion quantum computer, Nature Communications (accepted) (2020).
C1. Eric D. Wetzel, Emil Sandoz-Rosado, Todd D. Beudet, Radhakrishnan Balu, John, J. LaScala, and Dominika N Lastovickova "Two-Dimensional Polymers Comprised of a Combination of Stiff and Compliant Molecular Units". Patent #: 10590241 (2020).
M1: Radhakrishnan Balu: Covariant Quantum White Noise from Light-like Quantum Fields, Special issue on Quantum Probability and Related Topics, Journal of Stochastic Analysis, JSOA (Accepted (2020)).
2019
P1. Shivani Singh, Radhakrishnan Balu, Raymond Laflamme, and C. M. Chandrasheka: Accelerated quantum walk, two-particle entanglement generation and localization, J. Phys. Comm., Vol 3, 5, (2019).
M2: Radhakrishnan Balu: Covariant Quantum Fields via Lorentz Group Representation of Weyl Operators, Proceedings of the International Conference on Quantum Probability and Related Topics QP38 (Accepted) (2019).
M3: Radhakrishnan Balu: Formal Verification using Second-Quantized Horn Clauses, Preprint, https://arxiv.org/abs/1806.09042. (2019)
M4: Radhakrishnan Balu: Kinematics and dynamics of quantum walks in terms of systems of imprimitivity, Accepted: Journal of Physics A: Mathematical and Theoretical (2019).
M5: Radhakrishnan Balu, Paul J. Koprowski, Kasso A. Okoudjou, Justin S. Park, and George Siopsis: Equiangular quantum key distribution in more than two dimensions, Accepted: Journal of Physics A: Mathematical and Theoretical (2019).
2018
Q2. Faisal Shah Khan, Neal Solmeyer, Radhakrishnan Balu, and Travis S. Humble: Quantum games: a review of the history, current state, and interpretation, Quant. Inf. Proc., 17, 309 (2018).
Q3. Neal Solmeyer, Ricky Dixon, and Radhakrishnan Balu: Quantum routing games, Journal of Physics A: Mathematical and Theoretical, 51, 45 (2018).
Q4. Neal Solmeyer, Norbert M. Linke, Caroline Figgatt, Kevin A. Landsman, Radhakrishnan Balu, George Siopsis, and Christopher Monroe: Demonstration of Bayesian quantum game on an ion trap quantum computer, Accepted, Quant. Sci. and Tech. (2018).
Q5. George Siopsis, Radhakrishnan Balu, and Neal Solmeyer: Quantum Prisoner's Dilemma under Enhanced Interrogation, accepted, Quant. Inf. Proc. (2018).
P2. Radhakrishnan Balu, Daniel Castillo, and George Siopsis: Physical realization of topological quantum walks on IBM-Q and beyond, Quant. Sci. tech., Vol 3, No 3 (2018).
P3. N. Pradeep Kumar, Radhakrishna Balu, Raymond Laflamme, C. M. Chandrashekar : Bounds on the dynamics and entanglement in a periodic quantum walks, Phys. Rev. A, (2018).
2017
Q6. Siddhartha Santra, Omar Shehab, and Radhakrishnan Balu: Ising formulation of associative memory models and quantum annealing recall, Phys. Rev. A. 96, 062330 (2017)
Q7. Neal Solmeyer, Ricky Dixon, and Radhakrishnan Balu: Characterizing the Nash equilibria of a three-player Bayesian quantum game, Quant. Inf. Proc.146, 16, (2017)
P4. Kurt Jacobs, Radhakrishnan Balu, and John D. Teufel: Quantum-enhanced accelerometry with a nonlinear electromechanical circuit, Phys. Rev. A, 96. 023858 (2017).
P5. Santra, Siddhartha; Cruikshank, Benjamin; Balu, Radhakrishnan; Jacobs, Kurt: Fermi's golden rule, the origin and breakdown of Markovian master equations, and the relationship between oscillator baths and the random matrix model, J. Phys A (Mathematical and Theoretical) (2017).
M6: Radhakrishnan Balu, C. Liu and S.E. Venegas-Andraca, Probability distributions for Markov chains based quantum walks, arXiv:1703.04131, Journal of Physics A: Mathematical and Theoretical, Vol 51, No 3 (2017).
M7: Chaobin Liu and Radhakrishnan Balu: Steady States of Continuous-time open quantum walks, Quant. Inf. 16, 173 (2017).
2016
Q8. Siddhartha Santra and Radhakrishnan Balu: Propagation of correlations in local random circuits 15, Quant. Inf. Proc. 4613 (2016).
P6. Kurt Jacobs, Nikolas Tezak, Hideo Mabuchi, and Radhakrishnan Balu: All-mechanical quantum noise cancellation for accelerometry: broadband with momentum measurements, narrow band without, J. Optics 18 034002 (2016).
C2. Ductile Fracture Propagation in a Graphene-like Two-Dimensional Polymer, "Graphylene" Emil Sandoz-Rosado, Todd D. Beaudet, Radhakrishnan Balu, Eric D. Wetzel, Nanoscale (2016).
CS1. Radhakrishnan Balu, Dale Shires, and Raju Namburu, “A quantum algorithm for uniform sampling of models of propositional logic based on quantum probability,” J. Defense Modeling and Simulation (2016).
CS3. Radhakrishnan Balu, “Formal verification of communication protocols using quantized Horn clauses,” Proc. SPIE-DSS, quantum information and computation, Baltimore MD (2016).
2015
C3. E. D. Wetzel, Radhakrishnan Balu, and Todd D. Beudet: A theoretical consideration of the ballistic response of continuous graphene membranes, J. Mech. Phys. Sol., 82, 23(2015)
CS2. Radhakrishnan Balu, “Quantum probabilistic logic programming,” Proc. SPIE-DSS, quantum information and computation, Baltimore MD (2015).
2013
C4. D. Kaplan, V. Swaminathan, G. Recine, R. Balu, and S. Karna “Bandgap tuning of mono- and bilayer graphene doped with group IV elements”, J. Appl. Phys. 113, 183701 (2013).
C5. Radhakrishnan Balu, Prakashan Korambath, Ravindra Pandey and Shashi P. Karna, “Ab initio study of nonlinear optical properties of aromatic fused rings” Chem.Phys. Lett. 590, 58 (2013).
2012
E6. Radhakrishnan Balu, Daniel Kaplan, V. Swaminathan, Greg Recine, Ravindra Pandey, and Shashi P. Karna, “Modulation of band structures of graphene flouride by electric field: A DFT study“, IEEE, Nano, Birmingham UK, Aug (2012).
P7. Radhakrishnan Balu, Xiaoliang Zhong , Ravindra Pandey, and Shashi P. Karna, “ Effect of Electric Field on the Band Structure of Graphene/BN and BN/BN Bilayers”, Appl. Phys. Lett., 100, 052104 (2012).
2011
P8. William Mattson and Radhakrishnan Balu “Shocked-induced behavior of cubic gauche polymeric nitrogen”, Phys. Rev. B, 83, 174105 (2011).
C7. R. Balu, E. F.C. Byrd, B. M. Rice , “Assessment of dispersion corrected atom centered pseudopotentials: Application to energetic molecular crystals”, J. Phys. Chem B., 115, 803, (2011).
2009
M8. Radhakrishnan Balu, Quantum filter processes driven by Markovian white noises have classical versions, http://arxiv.org/pdf/0903.4486 (2009).
2008
C8. R. Balu, E. Zukowski, J-Y. Chen, A. Markelz, and S.K. Gregurick , Terahertz Spectroscopy of Bacteriorhodopsin and Rhodopsin: Similarities and Differences, Biophys. J. 94, 3217 (2008).
2006
C9. K. Seigrist, C.R. Bucher, I. Mandelbaum, A.R. High Walker, R. Balu, S. Gregurick, and D.F. Plusquellic,
High Resolution THz Spectroscopy of Crystalline Trialanine: Extreme Sensitivity to Beta-sheet Structure
and Co-crystalized Water, J. Ame. Chem. Soc. 128, 5764 (2006).
C10. T.M. Korter, R. Balu, M.B. Campbell, M.C. Beard, S.K. Gregurick, and E.J. Heilweil. Terahertz spectroscopy of solid serine and cysteine, Chem.Phys. Lett. 418, 65 (2006).