Research
Brief Summary
Finite-Length Quantum Information Theory and Coding
- Design, decoding, and performance analysis of quantum stabilizer, CSS, and quantum low-density parity-check (qLDPC) codes, with an emphasis on logical error rates and reliability under limited quantum resources.
- Fault-tolerant logical operations and syndrome-extraction circuits, including code surgery, circuit scheduling, and the use of code symmetries to reduce implementation overhead. Recent work includes LocalASC, quantum Tanner-code decoding, and the construction and decoding of triorthogonal codes.
- Finite-blocklength classical-quantum communication and the effects of physical noise on coding performance.
The above research directions form part of NISQEC: Noisy Intermediate-Scale Quantum Error Correction, funded by the Research Council of Norway and led by me.
Statistical Machine Learning
- Privacy-preserving distributed and online learning, including differential privacy, personalized estimation, and communication-efficient learning under heterogeneous resources and unreliable participation.
- These topics connect to PRiDeL: Private Real-time Distributed Learning, an Inria Associate Team project co-led with Malcolm Egan in collaboration with Yu-Chih (Jerry) Huang, and PeerL: Private and Efficient Distributed Learning, led by Eirik Rosnes, in which I serve as Co-Principal Investigator.
- Quantum machine learning, including quantum feature-map design and the performance of projected quantum kernels, with attention to the roles of entanglement and classical hyperparameter tuning.
Information-Theoretic Privacy and Physical Layer Security
- Performance analysis and construction of lattice codes for physical layer security, including secrecy gain, flatness factors, and theta series.
- Private information retrieval and private computation for distributed storage, and fundamental tradeoffs among privacy, communication, storage, and reconstruction quality.
- Finite-blocklength wiretap coding and information-theoretic methods for secure communication, including collaborative research on physical layer security with Yi-Sheng Su and Mao-Ching Chiu.
Finite-Length Information Theory
- Fundamental limits, code design, and decoding for short-blocklength communication, including weak flip codes, Reed-Solomon decoding, and reliability and secrecy tradeoffs.
Earlier Research Directions
Scheduling in Millimeter-Wave (mmWave) Cellular Networks
- Efficient routing and scheduling algorithms for millimeter-wave cellular networks, including optimal and approximation methods.
Inference Security and Target Localization in Wireless Sensor Networks
- Inference security, robustness against Byzantine attacks, target localization, and performance analysis of distributed sensor networks.
My primary interest is to conduct fundamental research in the field of information theory, coding theory, and lattices. For a complete list of my publications, please check out my publications.