Research

Overview

My research focuses on mathematical aspects of quantum information theory and quantum complexity. I am particularly interested in the study of quantum channels, their capacities, and the mathematical structures about the underlying quantum systems.

Publications and preprints(alphabetical authorship convention unless starred)

  1. Transportation cost and contraction coefficient for channels on von Neumann algebras
    Roy Araiza, Marius Junge, Peixue Wu
    arXiv:2506.04197, submitted, June 2025
  2. Reverse-type Data Processing Inequality
    Paula Belzig, Li Gao, Graeme Smith, Peixue Wu
    arXiv:2411.19890, submitted, November 2024
  3. Additivity of quantum capacities in simple non-degradable quantum channels
    Graeme Smith, Peixue Wu
    arXiv:2409.03927, submitted, September 2024
  4. Lower bound for simulation cost of open quantum systems: Lipschitz continuity approach
    Zhiyan Ding, Marius Junge, Philipp Schleich, Peixue Wu
    arXiv:2407.15357, Communications in Mathematical Physics 406, no. 3 (2025): 60.
  5. A note on the stabilizer formalism via noncommutative graphs
    Roy Araiza, Jihong Cai, Yushan Chen, Abraham Holtermann, Chieh Hsu, Tushar Mohan, Peixue Wu, Zeyuan Yu
    arXiv:2310.00762, Quantum Information Processing 23.3 (2024): 84. February 2024
  6. Resource-Dependent Complexity of Quantum Channels
    Roy Araiza, Yidong Chen, Marius Junge, Peixue Wu
    arXiv:2303.11304, submitted, October 2023
  7. Stability property for the quantum jump operators of an open system
    Marius Junge, Peixue Wu
    arXiv:2211.07527, in revision, November 2022
  8. Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in $C^{1,\beta}$ open sets
    Renming Song, Peixue Wu, Shukun Wu
    arXiv:2203.03891, Stochastic Processes and their Applications, 2025
  9. *Quantum secret sharing and tripartite information
    Guangkuo Liu, Peixue Wu, Hanuel Kim, Marius Junge
    arXiv:2012.08445, 2023 IEEE International Symposium on Information Theory (ISIT) (pp. 1931-1936).
  10. *Time fractional stochastic differential equation driven by pure jump Lévy noise
    Peixue Wu, Zhiwei Yang, Hong Wang, Renming Song
    arXiv:2009.06866, Journal of Mathematical Analysis and Applications 504.2 (2021): 125412.

Ongoing Projects