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

Tensor cross-concentrated sampling (t-CCS) bridges entrywise sampling and t-CUR slice-wise sampling by observing entries only within selected horizontal and lateral slices. Existing t-CCS completion methods, however, assume that the observations are free of gross corruption. In this work, we study robust recovery of a...

Hanqin Cai, Longxiu Huang, Jing Qin et al. · 0 citations