World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
43
Citations
8016
World Ranking
1690
National Ranking
731

Overview

Howard Barnum is affiliated with the University of New Mexico in the United States and has contributed to research primarily in the fields of Physics and Astronomy as well as Computer Science. Their work spans several subfields, including Atomic and Molecular Physics, and Optics, Artificial Intelligence, Computational Theory and Mathematics, Physiology, and Applied Mathematics.

The research topics that Barnum has focused on include Quantum Mechanics and Applications, Quantum Information and Cryptography, Quantum Optics and Atomic Interactions, Quantum Computing Algorithms and Architecture, Complexity and Algorithms in Graphs, Quantum-Dot Cellular Automata, and Biofield Effects and Biophysics.

Barnum has authored several papers published in a variety of scientific venues, such as OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information), the Institutional Repository of Leibniz Universität Hannover, arXiv (Cornell University), and Electronic Proceedings in Theoretical Computer Science. Recent papers include:

  • A LOWER BOUND ON THE QUANTUM QUERY COMPLEXITY OF READ-ONCE FUNCTIONS, 2024, OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
  • Composites and categories of euclidean Jordan algebras, 2020, Institutional Repository of Leibniz Universität Hannover (Leibniz Universität Hannover)
  • Self-duality and Jordan structure of quantum theory follow from homogeneity and pure transitivity, 2023, arXiv (Cornell University)
  • Locally Tomographic Shadows (Extended Abstract), 2023, Electronic Proceedings in Theoretical Computer Science

Their frequent collaborators include Matthew A. Graydon, Alexander Wilce, Michael Saks, Cozmin Ududec, and John van de Wetering.

Best Publications

  • Noncommuting Mixed States Cannot Be Broadcast

    Howard Barnum;Carlton M. Caves;Christopher A. Fuchs;Richard Jozsa

  • Information transmission through a noisy quantum channel

    Howard Barnum;Howard Barnum;M. A. Nielsen;M. A. Nielsen;Benjamin Schumacher

  • A subsystem-independent generalization of entanglement

    Howard Barnum;Emanuel Knill;Gerardo Ortiz;Rolando Somma

  • Generalized no-broadcasting theorem.

    Howard Barnum;Jonathan Barrett;Matthew Leifer;Matthew Leifer;Alexander Wilce

  • Authentication of Quantum Messages.

    Howard Barnum;Claude Crépeau;Daniel Gottesman;Adam D. Smith

  • Monotones and invariants for multi-particle quantum states

    H Barnum;Noah Linden

  • Largest separable balls around the maximally mixed bipartite quantum state

    Leonid Gurvits;Howard Barnum

  • Reversing quantum dynamics with near-optimal quantum and classical fidelity

    H. Barnum;E. Knill

  • On quantum fidelities and channel capacities

    H. Barnum;E. Knill;M.A. Nielsen

  • Higher-order interference and single-system postulates characterizing quantum theory

    Howard Barnum;Markus P. Mueller;Cozmin Ududec

  • Quantum simulations of classical annealing processes.

    Rolando Somma;S. Boixo;S. Boixo;Howard Barnum;Emanuel H. Knill

  • Higher-order interference and single-system postulates characterizing quantum theory

    Howard Barnum;Howard Barnum;Markus P Müller;Cozmin Ududec

  • Entropy and information causality in general probabilistic theories

    Howard Barnum;Jonathan Barrett;Lisa Orloff Clark;Matthew S. Leifer;Matthew S. Leifer

  • Information Processing in Convex Operational Theories

    Howard Barnum;Alexander Wilce

  • Quantum Probability from Decision Theory

    H. Barnum;C. M. Caves;J. Finkelstein;C. A. Fuchs

  • Generalizations of entanglement based on coherent states and convex sets

    Howard Barnum;Emanuel Knill;Gerardo Ortiz;Lorenza Viola

  • Quantum computing applications of genetic programming

    Lee Spector;Howard Barnum;Herbert J. Bernstein;Nikhil Swamy

  • Finding a better-than-classical quantum AND/OR algorithm using genetic programming

    L. Spector;H. Barnum;H.J. Bernstein;N. Swamy

  • Information-theoretic approach to quantum error correction and reversible measurement

    M. A. Nielsen;M. A. Nielsen;Carlton M. Caves;Carlton M. Caves;Benjamin Schumacher;Howard Barnum;Howard Barnum

  • Local quantum measurement and no-signaling imply quantum correlations.

    H. Barnum;S. Beigi;S. Boixo;M. B. Elliott

  • The Beginning of Infinity: Explanations That Transform the World

    Howard Barnum

  • Addendum Entropy and information causality in general probabilistic theories

    Howard Barnum;Jonathan Barrett;Lisa Orloff Clark;Matthew Leifer

Frequent Co-Authors

Carlton M. Caves
Carlton M. Caves University of New Mexico
Emanuel Knill
Emanuel Knill National Institute of Standards and Technology
Lee Spector
Lee Spector Hampshire College
Claude Crépeau
Claude Crépeau McGill University
Michael Saks
Michael Saks Rutgers, The State University of New Jersey
Adam Smith
Adam Smith Boston University
Daniel Gottesman
Daniel Gottesman University of Maryland, College Park
Andreas Winter
Andreas Winter University of Cologne
Raymond Laflamme
Raymond Laflamme University of Waterloo
Wojciech H. Zurek
Wojciech H. Zurek Los Alamos National Laboratory

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