Research

Overview

My research focuses on quantum information theory, noncommutative analysis and probability theory. The highlight of my research consists of a deep mathematical understanding of open quantum systems and quantum communications.

Publications (alphabetical authorship convention unless starred)

1. Reverse-type Data Processing Inequality
   Paula Belzig, Li Gao, Graeme Smith, Peixue Wu
   arXiv:2411.19890, accepted at Communications in Mathematical Physics, 2025.
2. Additivity of quantum capacities in simple non-degradable quantum channels
   Graeme Smith, Peixue Wu
   arXiv:2409.03927, IEEE Transactions on Information Theory (Vol. 71, Issue 8, Aug. 2025).
3. 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.
4. 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
5. Resource-Dependent Complexity of Quantum Channels
   Roy Araiza, Yidong Chen, Marius Junge, Peixue Wu
   arXiv:2303.11304, accepted at Quantum, 2025.
6. Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in C^1,β open sets
   Renming Song, Peixue Wu, Shukun Wu
   arXiv:2203.03891, Stochastic Processes and their Applications, 2025
7. *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).
8. *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.

Preprints (alphabetical authorship convention unless starred)

1. Quantum $f$-divergences and Their Local Behaviour: An Analysis via Relative Expansion Coefficients
   Paula Belzig, Shreyas Iyer, Graeme Smith, Peixue Wu
   arXiv:2510.06183, submitted, October 2025
2. Quantum capacity amplification via privacy
   Peixue Wu, Yunkai Wang
   arXiv:2510.04527, 2025 IEEE International Symposium on Information Theory (ISIT), June 2025
3. Transportation cost and contraction coefficient for channels on von Neumann algebras
   Roy Araiza, Marius Junge, Peixue Wu
   arXiv:2506.04197, submitted, June 2025
4. Stability property for the quantum jump operators of an open system
   Marius Junge, Peixue Wu
   arXiv:2211.07527, in revision, November 2022
5. *Probing the Critical Point (CritPt) of AI Reasoning: a Frontier Physics Research Benchmark
   Artificial Intelligence Benchmark,Minhui Zhu et al.
   arXiv:2509.26574, September 2025