Contact Information
214C Harker Hall, MC-382
1305 W. Green Street
Urbana, IL 61801
Research Areas
Research Interests
Functional Analysis, Operator Algebras and Quantum Information Theory
Research Description
Operator spaces and C*-algebras, Noncommutative martingales and Noncommutative Lp-spaces, Quantum Games, Lindbladians
Education
PhD: 1991 Christian-Albrechts-Universität Kiel
Habilitation: 1996 Christian-Albrechts-Universität Kiel
Awards and Honors
Fellow, American Mathematical Society, 2017
Richard and Margaret Romano Professorial Scholar, College of LAS, University of Illinois, 2011-2014
J.L. Doob Scholar, Department of Mathematics, University of Illinois, 2011-2012
Associate, Center for Advanced Study, University of Illinois, 2010-2011
Courses Taught
Fall 2025
Introduction to Quantum Information Theory, Math 490 https://canvas.illinois.edu/courses/62730
Banach Space, Math 547 https://canvas.illinois.edu/courses/62728
Additional Campus Affiliations
Professor, Mathematics
External Links
Recent Publications
Ding, Z., Junge, M., Schleich, P., & Wu, P. (2025). Lower Bound for Simulation Cost of Open Quantum Systems: Lipschitz Continuity Approach. Communications in Mathematical Physics, 406(3), Article 60. https://doi.org/10.1007/s00220-025-05240-6
Gao, L., Junge, M., Laracuente, N., & Li, H. (2025). Complete positivity order and relative entropy decay. Forum of Mathematics, Sigma, 13, Article e31. https://doi.org/10.1017/fms.2024.117
Huang, J., Junge, M., Sukochev, F., & Zanin, D. (2025). Embeddings of symmetric operator spaces into Lp-spaces, 1 ≤ p < 2, on finite von Neumann algebras. Israel Journal of Mathematics. Advance online publication. https://doi.org/10.1007/s11856-025-2743-0
Li, H., Junge, M., & LaRacuente, N. (2025). Graph Hörmander Systems. Annales Henri Poincare, 26(8), 2683-2736. https://doi.org/10.1007/s00023-024-01474-7
Junge, M., & Palazuelos, C. (2024). On the power of quantum entanglement in multipartite quantum XOR games. Journal of the London Mathematical Society, 110(5), Article e70009. https://doi.org/10.1112/jlms.70009