World's Best Scientists 2026 revealed!
Karol Życzkowski

Karol Życzkowski

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Mathematics
Poland
2026

D-Index & Metrics

Mathematics

D-Index
60
Citations
15993
World Ranking
552
National Ranking
2

Karol Życzkowski 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 Karol Życzkowski 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: 253 publications — 78th percentile

78% of scientists in this discipline score the same or lower.

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

Karol Życzkowski 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 Karol Życzkowski 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: 60 D-Index — 85th percentile

85% 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 Poland Leader Award
  • 2025 - Research.com Mathematics in Poland Leader Award
  • 2022 - Research.com Mathematics in Poland Leader Award
  • 2014 - Member of Academia Europaea

Overview

Karol Życzkowski is affiliated with Jagiellonian University in Poland. Their research focuses primarily on areas within computer science and physics and astronomy, with notable contributions across several subfields.

The main fields of study for this scientist include:

  • Computer Science
  • Physics and Astronomy

Significant subfields of study encompass:

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

The core topics of their work involve:

  • Quantum Information and Cryptography
  • Quantum Computing Algorithms and Architecture
  • Quantum Mechanics and Applications
  • Quantum many-body systems
  • Quantum chaos and dynamical systems
  • Advanced Thermodynamics and Statistical Mechanics
  • Tensor decomposition and applications

Życzkowski has published extensively in several venues, with frequent publications in the following journals and platforms:

  • arXiv (Cornell University)
  • Physical review. A/Physical review, A
  • Journal of Physics A Mathematical and Theoretical
  • Quantum
  • Open Systems & Information Dynamics

Their recent papers include:

  • Five Open Problems in Quantum Information Theory, 2022, PRX Quantum
  • Random generators of Markovian evolution: A quantum-classical transition by superdecoherence, 2021, Physical review. E
  • Quantum Monge-Kantorovich Problem and Transport Distance between Density Matrices, 2022, Physical Review Letters
  • Isoentangled Mutually Unbiased Bases, Symmetric Quantum Measurements, and Mixed-State Designs, 2020, Physical Review Letters
  • Encoding Classical Information Into Quantum Resources, 2022, IEEE Transactions on Information Theory

Frequent collaborators of Życzkowski include:

  • Jakub Czartowski
  • Grzegorz Rajchel-Mieldzioć
  • Rafał Bistroń
  • Michał Eckstein
  • Wojciech Bruzda

In 2014, Karol Życzkowski was recognized as a Member of Academia Europaea, an acknowledgment of their scholarly contributions and standing within the European academic community.

Best Publications

  • Geometry of Quantum States: Frontmatter

    Ingemar Bengtsson;Karol Życzkowski

  • Volume of the set of separable states

    Karol Życzkowski;Paweł Horodecki;Anna Sanpera;Maciej Lewenstein

  • ON MUTUALLY UNBIASED BASES

    Thomas Durt;Berthold-Georg Englert;Ingemar Bengtsson;Karol Życzkowski

  • Scalable noise estimation with random unitary operators

    Joseph Emerson;Robert Alicki;Karol Życzkowski;Karol Życzkowski;Karol Życzkowski

  • Better late than never: information retrieval from black holes.

    Samuel L. Braunstein;Stefano Pirandola;Karol Życzkowski

  • Dynamics of quantum entanglement

    Karol Życzkowski;Paweł Horodecki;Michał Horodecki;Ryszard Horodecki

  • A Concise Guide to Complex Hadamard Matrices

    Wojciech Tadej;Karol Życzkowski;Karol Życzkowski

  • Rényi Extrapolation of Shannon Entropy

    Karol Życzkowski

  • Geometry of entangled states

    Marek Kuś;Karol Życzkowski

  • Experimental simulation of quantum graphs by microwave networks

    Oleh Hul;Szymon Bauch;Prot Pakoński;Nazar Savytskyy

  • Statistical properties of random density matrices

    Hans-Jürgen Sommers;Karol Zyczkowski

  • Truncations of random unitary matrices

    Karol Zyczkowski;Hans-Jürgen Sommers

  • Generating random density matrices

    Karol Życzkowski;Karol A. Penson;Ion Nechita;Benoît Collins

  • On Duality between Quantum Maps and Quantum States

    Karol Życzkowski;Ingemar Bengtsson

  • Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices

    Dardo Goyeneche;Daniel Alsina;José I. Latorre;Arnau Riera

  • Majorization entropic uncertainty relations

    Zbigniew Puchała;Zbigniew Puchała;Łukasz Marek Rudnicki;Łukasz Marek Rudnicki;Karol Życzkowski;Karol Życzkowski

  • Strong majorization entropic uncertainty relations

    Łukasz Marek Rudnicki;Łukasz Marek Rudnicki;Zbigniew Puchała;Zbigniew Puchała;Karol Życzkowski;Karol Życzkowski

  • Cones of positive maps and their duality relations

    Łukasz Skowronek;Erling Størmer;Karol Życzkowski

  • Genuinely multipartite entangled states and orthogonal arrays

    Dardo Goyeneche;Karol Życzkowski

  • Average fidelity between random quantum states

    Karol Życzkowski;Karol Życzkowski;Hans-Jürgen Sommers

  • Mutually unbiased bases and Hadamard matrices of order six

    Ingemar Bengtsson;Wojciech Bruzda;Åsa Ericsson;Jan-Åke Larsson

Frequent Co-Authors

Benoît Collins
Benoît Collins Kyoto University
Hans-Jürgen Sommers
Hans-Jürgen Sommers University of Duisburg-Essen
Stanislaw J. Szarek
Stanislaw J. Szarek Case Western Reserve University
Man-Duen Choi
Man-Duen Choi University of Toronto
David W. Kribs
David W. Kribs University of Guelph
Mark Fannes
Mark Fannes KU Leuven
Elisabeth M. Werner
Elisabeth M. Werner Case Western Reserve University
Geoffrey Grimmett
Geoffrey Grimmett University of Cambridge
Ying-Cheng Lai
Ying-Cheng Lai Arizona State University
Samuel L. Braunstein
Samuel L. Braunstein University of York

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