World's Best Scientists 2026 revealed!

Overview

Man-Duen Choi is affiliated with the University of Toronto in Canada. Their research work spans multiple fields, primarily within mathematics and computer science, with notable contributions in computational theory, geometry, topology, applied mathematics, mathematical physics, and artificial intelligence.

Choi's research covers significant topics such as matrix theory and algorithms, graph theory and applications, holomorphic and operator theory, spectral theory in mathematical physics, quantum information and cryptography, as well as algebraic structures and combinatorial models.

Among their recent papers are the following:

  • Products of two normal operators, 2020, Advances in Operator Theory
  • On unital qubit channels, 2023, Quantum Information and Computation

Research has also appeared in venues including:

  • Notices of the American Mathematical Society
  • Advances in Operator Theory
  • Quantum Information and Computation
  • arXiv (Cornell University)

Frequent coauthors with whom Choi has collaborated include:

  • Chi-Kwong Li
  • Pei Yuan Wu
  • Palle E. T. Jørgensen
  • Claude Schochet
  • Masamichi Takesaki

Choi's work in matrix theory and operator theory intersects with quantum information science, illustrated by publications on qubit channels and operator products. Their contributions also involve a combination of geometric and algebraic methods applied in computational and mathematical physics contexts.

Best Publications

  • Completely positive linear maps on complex matrices

    Man-Duen Choi

  • Injectivity and operator spaces

    Man-Duen Choi;Edward G. Effros

  • Sums of squares of real polynomials

    M. D. Choi;T. Y. Lam;B. Reznick

  • The completely positive lifting problem for C*-algebras

    Man-Duen Choi;Edward G. Effros

  • Positive semidefinite biquadratic forms

    Man-Duen Choi

  • Positive Linear Maps on C*-Algebras

    Man Duen Choi

  • Tricks or Treats with the Hilbert Matrix

    Man-Duen Choi

  • Extremal positive semidefinite forms

    Man-Duen Choi;Tsit-Yuen Lam

  • Nuclear C ∗ -Algebras and the Approximation Property

    Man-Duen Choi;Edward G. Effros

  • Gauss polynomials and the rotation algebra

    Man-Duen Choi;George A. Elliott;George A. Elliott;Noriko Yui

  • THE FULL C* -ALGEBRA OF THE FREE GROUP ON TWO GENERATORS

    Man Duen Choi

  • Linear Maps Preserving Commutativity

    M.D. Choi;A.A. Jafarian;A.A. Jafarian;H. Radjavi

  • A Simple C*-Algebra Generated by Two Finite-Order Unitaries

    Man Duen Choi

  • Higher-rank numerical ranges and compression problems

    Man-Duen Choi;David W. Kribs;David W. Kribs;Karol Życzkowski;Karol Życzkowski;Karol Życzkowski

  • Geometry of higher-rank numerical ranges

    Man-Duen Choi;Michael Giesinger;John A. Holbrook;David W. Kribs

  • Real zeros of positive semidefinite forms. I

    Man Duen Choi;Tsit Yuen Lam;Bruce A Reznick

  • Quantum error correcting codes from the compression formalism

    Man-Duen Choi;David W. Kribs;David W. Kribs;Karol Życzkowski;Karol Życzkowski;Karol Życzkowski

  • The Pythagoras number of some affine algebras and local algebras

    M. D. Choi;Z. D. Dai;T. Y. Lam;B. Reznick

  • Separable nuclear C∗-algebras and injectivity

    Man-Duen Choi;Edward G. Effros

  • Higher-Rank Numerical Ranges and Compression Problems

    Man-Duen Choi;David W. Kribs;Karol Zyczkowski

Frequent Co-Authors

David W. Kribs
David W. Kribs University of Guelph
Tsit Yuen Lam
Tsit Yuen Lam University of California, Berkeley
Karol Życzkowski
Karol Życzkowski Jagiellonian University
Chi-Kwong Li
Chi-Kwong Li William & Mary
Edward G. Effros
Edward G. Effros University of California, Los Angeles
Kenneth R. Davidson
Kenneth R. Davidson University of Waterloo
Rajendra Bhatia
Rajendra Bhatia Ashoka University
George A. Elliott
George A. Elliott University of Toronto
Eugene Seneta
Eugene Seneta University of Sydney
Jeffrey S. Rosenthal
Jeffrey S. Rosenthal University of Toronto

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