World's Best Scientists 2026 revealed!
Peter W. Shor

Peter W. Shor

Award Badge
Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
74
Citations
55966
World Ranking
207
National Ranking
119

Computer Science

D-Index
74
Citations
66324
World Ranking
1438
National Ranking
747

Peter W. Shor 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 Peter W. Shor 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: 182 publications — 54th percentile

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

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

Peter W. Shor 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 Peter W. Shor 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: 74 D-Index — 94th percentile

94% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2020 - Member of the National Academy of Engineering For pioneering contributions to quantum computation.
  • 2019 - BBVA Foundation Frontiers of Knowledge Award
  • 2019 - ACM Fellow For contributions to quantum computing, information theory, and randomized algorithms
  • 2018 - IEEE Eric E. Sumner Award “For contributions to quantum communication and information theory.”
  • 2011 - Fellow of the American Academy of Arts and Sciences
  • 2002 - Member of the National Academy of Sciences
  • 1999 - Fellow of the MacArthur Foundation
  • 1998 - Rolf Nevanlinna Prize

Overview

Peter W. Shor is affiliated with the Massachusetts Institute of Technology (MIT) in the United States. Their research spans multiple fields including Computer Science and Physics and Astronomy, with a focus on quantum information and computation.

The main fields of study for this scientist include:

  • Computer Science
  • Physics and Astronomy

Within these fields, key subfields covered are:

  • Artificial Intelligence
  • Atomic and Molecular Physics, and Optics
  • Computational Theory and Mathematics
  • Control and Systems Engineering
  • Statistical and Nonlinear Physics

Major research topics addressed in their work are:

  • Quantum Information and Cryptography
  • Quantum Computing Algorithms and Architecture
  • Quantum Mechanics and Applications
  • Computability, Logic, AI Algorithms
  • Advanced Thermodynamics and Statistical Mechanics
  • Quantum Electrodynamics and Casimir Effect
  • Thermal Radiation and Cooling Technologies

Recent publications reflect a wide range of interests in quantum computation and information theory. Notable papers include:

  • "The Early Days of Quantum Computation," 2022, published in arXiv (Cornell University)
  • "Bounding the Forward Classical Capacity of Bipartite Quantum Channels," 2023, published in IEEE Transactions on Information Theory
  • "Graphical quantum Clifford-encoder compilers from the ZX calculus," 2023, published in arXiv (Cornell University)
  • "Maximizing Free Energy Gain," 2025, published in Entropy
  • "Bounding the forward classical capacity of bipartite quantum channels," 2020, published in arXiv (Cornell University)

Frequent co-authors who have collaborated with Peter W. Shor include:

  • Andrey Boris Khesin
  • Yihui Quek
  • Jonathan Z. Lu
  • Dawei Ding
  • Sumeet Khatri

The most common venues for publication are:

  • arXiv (Cornell University)
  • IEEE Transactions on Information Theory
  • Entropy
  • The Mathematical Intelligencer
  • PRX Quantum

Awards received by this researcher highlight recognition within the scientific community, including:

  • Member of the National Academy of Engineering (2020) for pioneering contributions to quantum computation
  • ACM Fellow (2019) for contributions to quantum computing, information theory, and randomized algorithms
  • BBVA Foundation Frontiers of Knowledge Award (2019)
  • IEEE Eric E. Sumner Award (2018) for contributions to quantum communication and information theory
  • Fellow of the American Academy of Arts and Sciences (2011)
  • Member of the National Academy of Sciences (2002)
  • Fellow of the MacArthur Foundation (1999)
  • Rolf Nevanlinna Prize (1998)

Best Publications

  • Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer

    Peter W. Shor

  • Algorithms for quantum computation: discrete logarithms and factoring

    P.W. Shor

  • Elementary gates for quantum computation.

    Adriano Barenco;Charles H. Bennett;Richard Cleve;David P. DiVincenzo

  • Scheme for reducing decoherence in quantum computer memory

    Peter W. Shor

  • Simple proof of security of the BB84 quantum key distribution protocol

    Peter W. Shor;John Preskill

  • Good quantum error-correcting codes exist

    A. R. Calderbank;Peter W. Shor

  • Quantum error correction via codes over GF(4)

    A.R. Calderbank;E.M. Rains;P.M. Shor;N.J.A. Sloane

  • Applications of random sampling in computational geometry, II

    K. L. Clarkson

  • Quantum nonlocality without entanglement

    Charles H. Bennett;David P. DiVincenzo;Christopher A. Fuchs;Tal Mor

  • Fault-tolerant quantum computation

    P.W. Shor

  • Remote State Preparation

    Charles H. Bennett;David P. DiVincenzo;Peter W. Shor;John A. Smolin

  • Quantum Error Correction and Orthogonal Geometry

    A. R. Calderbank;E. M. Rains;P. W. Shor;N. J. A. Sloane

  • Unextendible product bases and bound entanglement

    Charles H. Bennett;David P. DiVincenzo;Tal Mor;Tal Mor;Peter W. Shor

  • Entanglement Breaking Channels

    Michael Horodecki;Peter W. Shor;Mary Beth Ruskai

  • Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem

    C.H. Bennett;P.W. Shor;J.A. Smolin;A.V. Thapliyal

  • The Capacity of a Quantum Channel for Simultaneous Transmission of Classical and Quantum Information

    I. Devetak;P. W. Shor

  • Geometric applications of a matrix-searching algorithm

    Alok Aggarwal;Maria M. Klawe;Shlomo Moran;Peter W. Shor

  • General Entanglement Breaking Channels

    Michael Horodecki;Peter W. Shor;Mary Beth Ruskai

  • Fault-Tolerant Error Correction with Efficient Quantum Codes.

    David P. DiVincenzo;Peter W. Shor

  • Equivalence of Additivity Questions in Quantum Information Theory

    Peter W. Shor;Peter W. Shor

Frequent Co-Authors

John A. Smolin
John A. Smolin IBM (United States)
Charles H. Bennett
Charles H. Bennett IBM (United States)
Edward G. Coffman
Edward G. Coffman Columbia University
Richard Weber
Richard Weber University of Cambridge
David P. DiVincenzo
David P. DiVincenzo RWTH Aachen University
David S. Johnson
David S. Johnson AT&T (United States)
Neil J. A. Sloane
Neil J. A. Sloane OEIS Foundation Inc.
Scott Aaronson
Scott Aaronson The University of Texas at Austin

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