World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
49
Citations
10158
World Ranking
1140
National Ranking
15

David Pérez-García 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 David Pérez-García 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: 126 publications — 24th percentile

24% of scientists in this discipline score the same or lower.

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

David Pérez-García 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 David Pérez-García 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: 49 D-Index — 69th percentile

69% of scientists in this discipline score the same or lower.

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

Overview

David Pérez-García is affiliated with the Complutense University of Madrid in Spain. Their research spans multiple fields, primarily focusing on physics and computer science.

The main fields of study for David Pérez-García include:

  • Physics and Astronomy
  • Computer Science

Within these domains, their work specifically addresses subfields such as:

  • Atomic and Molecular Physics, and Optics
  • Artificial Intelligence
  • Statistical and Nonlinear Physics
  • Computational Theory and Mathematics
  • Condensed Matter Physics

The scientist's research contributions frequently involve the following topics:

  • Quantum many-body systems
  • Quantum and electron transport phenomena
  • Quantum Computing Algorithms and Architecture
  • Quantum Information and Cryptography
  • Black Holes and Theoretical Physics
  • Theoretical and Computational Physics
  • Noncommutative and Quantum Gravity Theories

Recent publications by David Pérez-García include:

  • "Matrix product states and projected entangled pair states: Concepts, symmetries, theorems" (2021, Reviews of Modern Physics)
  • "Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems" (2020, arXiv (Cornell University))
  • "Rapid Thermalization of Spin Chain Commuting Hamiltonians" (2023, Physical Review Letters)
  • "Correlation Length in Random MPS and PEPS" (2021, Annales Henri Poincaré)
  • "Projected Entangled Pair States: Fundamental Analytical and Numerical Limitations" (2020, Physical Review Letters)

Frequent co-authors collaborating with David Pérez-García include:

  • J. I. Cirac
  • Ángelo Lucia
  • Antonio Pérez
  • Norbert Schuch
  • Ángela Capel

Their publications appear regularly in key scientific venues, including:

  • arXiv (Cornell University)
  • Quantum
  • Communications in Mathematical Physics
  • Physical Review Letters
  • Reviews of Modern Physics

Best Publications

  • Matrix product state representations

    D. Perez-Garcia;F. Verstraete;M. M. Wolf;J. I. Cirac

  • Classifying quantum phases using matrix product states and projected entangled pair states

    Norbert Schuch;David Pérez-García;J. Ignacio Cirac

  • Criticality, the Area Law, and the Computational Power of Projected Entangled Pair States

    Frank Verstraete;MM Wolf;D Perez-Garcia;D Perez-Garcia;JI Cirac

  • Undecidability of the spectral gap

    Toby S. Cubitt;Toby S. Cubitt;David Perez-Garcia;Michael M. Wolf

  • PEPS as ground states: Degeneracy and topology

    Norbert Schuch;J. Ignacio Cirac;David Pérez-García

  • String order and symmetries in quantum spin lattices

    D Perez-Garcia;MM Wolf;M Sanz;Frank Verstraete

  • Measurement-based quantum computation beyond the one-way model

    D. Gross;J. Eisert;Norbert Schuch;D. Perez-Garcia

  • Measurements Incompatible in Quantum Theory Cannot Be Measured Jointly in Any Other No-Signaling Theory

    Michael M. Wolf;David Perez-Garcia;Carlos Fernandez

  • Quantum capacities of bosonic channels.

    Michael M. Wolf;David Pérez-Garcia;Geza Giedke

  • Contractivity of positive and trace-preserving maps under Lp norms

    David Pérez-García;Michael M. Wolf;Denes Petz;Mary Beth Ruskai

  • Peps as unique ground states of local hamiltonians

    D. Perez-Garcia;F. Verstraete;M. M. Wolf;J. I. Cirac

  • Connes' embedding problem and Tsirelson's problem

    M. Junge;M. Navascues;C. Palazuelos;D. Perez-Garcia

  • Resonating valence bond states in the PEPS formalism

    Norbert Schuch;Norbert Schuch;Didier Poilblanc;J. Ignacio Cirac;David Perez-Garcia

  • Topological Order in the Projected Entangled-Pair States Formalism: Transfer Operator and Boundary Hamiltonians

    Norbert Schuch;Norbert Schuch;Didier Poilblanc;J. Ignacio Cirac;David Perez-Garcia

  • Unbounded Violation of Tripartite Bell Inequalities

    D. Pérez-García;Michael M. Wolf;C. Palazuelos;I. Villanueva

  • Multilinear extensions of Grothendieck’s theorem

    Fernando Bombal;David Pérez-García;Ignacio Villanueva

  • Topological and entanglement properties of resonating valence bond wave functions

    Didier Poilblanc;Norbert Schuch;Norbert Schuch;David Perez-Garcia;J. Ignacio Cirac

  • Contractivity of positive and trace preserving maps under $L_p$ norms

    David Perez-Garcia;Michael M. Wolf;Denes Petz;Mary Beth Ruskai

  • A Quantum Version of Wielandt's Inequality

    M Sanz;David Pérez-García;M M Wolf;J I Cirac

  • Algebrability of the set of non-convergent Fourier series

    Richard M. Aron;David Pérez-García;Juan B. Seoane-Sepúlveda

  • Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems

    Ignacio Cirac;David Perez-Garcia;Norbert Schuch;Frank Verstraete

  • PEPS as unique ground states of local Hamiltonians

    David Perez-Garcia;Frank Verstraete;J. Ignacio Cirac;Michael M. Wolf

Frequent Co-Authors

Michael M. Wolf
Michael M. Wolf Technical University of Munich
J. Ignacio Cirac
J. Ignacio Cirac Max Planck Society
Frank Verstraete
Frank Verstraete Ghent University
J. I. Cirac
J. I. Cirac Max Planck Institute of Quantum Optics
Marius Junge
Marius Junge University of Illinois at Urbana-Champaign
Enrique Solano
Enrique Solano University of the Basque Country
Andreas Defant
Andreas Defant Carl von Ossietzky University of Oldenburg
Richard M. Aron
Richard M. Aron Kent State University
Benoît Collins
Benoît Collins Kyoto University
David A. Huse
David A. Huse Princeton University

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