Author

Juntao You

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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...

Han-Qin Cai, Long-Xiu Huang, Juntao You · 0 citations

#machine learning Preprint Sep 2026

Near-Optimal Nonconvex Matrix Completion

Riemannian gradient descent (RGD) and Riemannian Gauss--Newton (RGN) methods are analyzed, finding that the resulting RGD iterates converge linearly, whereas RGN eventually converges Q-quadratically.

Jian-Feng Cai, Xi-Liang Lu, Juntao You · 0 citations