Research Interests

My research interests center on quantum error correction and the development of reliable, scalable methods for fault-tolerant quantum computing. I am particularly interested in connecting rigorous code construction with practical decoder design and performance evaluation.

• Quantum code construction: quantum LDPC codes, bivariate bicycle codes, stabilizer and CSS codes, quantum convolutional codes, voltage/lift constructions, lifted-product codes, and combinatorial constructions based on difference triangle sets.
• Quantum decoder design: belief propagation, sequential BP, ordered-statistics decoding, minimum-weight perfect matching, greedy decoding, reinforcement-learning-guided search, Q-learning, and multi-branch decoding.
• Fault-tolerant quantum computing: code and decoder co-design for reliable quantum memories, scalable syndrome processing, and practical logical-error suppression.
• QEC simulation and benchmarking: decoder evaluation under depolarizing and circuit-level noise, residual-syndrome tracking, logical-error testing, and frame-error-rate estimation.
• Mathematical foundations: coding theory, finite fields, algebraic geometry codes, information theory, and structural methods for constructing and analyzing quantum codes.

I also develop high-performance research software in Python and C++ using CUDA and OpenMP, together with SageMath, Magma, MATLAB, Qiskit, and related tools for code construction, rank and distance computation, decoder benchmarking, and large-scale quantum-circuit simulation.