Finding a better-than-classical quantum AND/OR algorithm using genetic programming. - Lee Spector; Howard Barnum; Herbert J. Bernstein; Nikhil Swamy (CEC, 1999)

On quantum fidelities and channel capacities. - Howard Barnum; Emanuel Knill; Michael Nielsen 002 (IEEE Trans. Inf. Theory, 2000)

Authentication of Quantum Messages. - Howard Barnum; Claude Crépeau; Daniel Gottesman; Adam D. Smith 001; Alain Tapp (IACR Cryptol. ePrint Arch., 2002)

Quantum query complexity and semi-definite programming. - Howard Barnum; Michael E. Saks; Mario Szegedy (CCC, 2003)

Quantum Authentication Using Entangled States. - Xiaoyu Li; Howard Barnum (Int. J. Found. Comput. Sci., 2004)

A lower bound on the quantum query complexity of read-once functions. - Howard Barnum; Michael E. Saks (J. Comput. Syst. Sci., 2004)

Semidefinite programming characterization and spectral adversary method for quantum complexity with noncommuting unitary queries. - Howard Barnum (Algorithms and Complexity for Continuous Problems, 2006)

Nonclassicality without entanglement enables bit commitment. - Howard Barnum; Oscar C. O. Dahlsten; Matthew Leifer; Ben Toner (ITW, 2008)

Information Processing in Convex Operational Theories. - Howard Barnum; Alexander Wilce (QPL/DCM@ICALP, 2008)

Symmetry, Compact Closure and Dagger Compactness for Categories of Convex Operational Models. - Howard Barnum; Ross Duncan; Alexander Wilce (J. Philos. Log., 2013)

Some Nearly Quantum Theories. - Howard Barnum; Matthew A. Graydon; Alexander Wilce (QPL, 2015)

Entropy, majorization and thermodynamics in general probabilistic theories. - Howard Barnum; Jonathan Barrett; Marius Krumm; Markus P. Müller (QPL, 2015)

Ruling out Higher-Order Interference from Purity Principles. - Howard Barnum; Ciarán M. Lee; Carlo Maria Scandolo; John H. Selby (Entropy, 2017)

Composites and Categories of Euclidean Jordan Algebras. - Howard Barnum; Matthew A. Graydon; Alexander Wilce (Quantum, 2020)

Locally Tomographic Shadows (Extended Abstract). - Howard Barnum; Matthew A. Graydon; Alexander Wilce (QPL, 2023)