Author

Hanqin Cai

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Preprint Aug 2026

Quantized Low-Rank Quantum State Tomography: Hyperbolic Quantization and Riemannian Least-Squares Recovery

We study low-rank quantum state tomography from finite-bit Pauli batch responses. To avoid bias introduced by generic quantization, we propose HyperQuant, a mean-preserving hyperbolic quantizer adapted to the second-moment scale of Pauli responses. We establish minimax distortion guarantees and show that exact mean pre...

Hanqin Cai, Longxiu Huang, Juntao You · 0 citations

Preprint Aug 2026

Robust Low-Tubal-Rank Tensor Completion under Cross-Concentrated Sampling

Robust Iterative t-CUR (R-ItCUR), a tensor-native algorithm that partitions the sampled tensor cross into two exterior blocks and an intersection block, applies adaptive blockwise Welsch correction for outlier suppression, and updates the low-rank component through projected blockwise gradient descent is proposed.

Hanqin Cai, Long-Xiu Huang, Jing Qin et al. · 0 citations