World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
43
Citations
8016
World Ranking
1690
National Ranking
732

Howard Barnum publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Howard Barnum sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 88 publications — 6th percentile

6% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Howard Barnum D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Howard Barnum sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 43 D-Index — 54th percentile

54% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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