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Provable learning of quantum states with graphical models

Liming Zhao ^1,*, Naixu Guo ^2,†, Ming-Xing Luo ¹, and Patrick Rebentrost^2,‡

¹School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, China
²Centre for Quantum Technologies, National University of Singapore, Singapore 117543, Singapore

^*Contact author: 100xiaoai@163.com
^†Contact author: naixug@u.nus.edu
^‡Contact author: cqtfpr@nus.edu.sg

Artificial intelligence for representing and characterizing quantum systems

Yuxuan Du, Yan Zhu, Yuan-Hang Zhang, Min-Hsiu Hsieh, Patrick Rebentrost, Weibo Gao, Yi-Zhuang You, Jens Eisert, Giulio Chiribella, Dacheng Tao, Barry C. Sanders, and Ya-Dong Wu

Nat Rev Phys 8 579 (2026)

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