@article{onthesamplecomplexityofpurityandinner, title = {On the sample complexity of purity and inner product estimation}, author = {Weiyuan Gong and Jonas Haferkamp and Qi Ye and Zhihan Zhang}, year = {2024}, eprint = {2410.12712}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2410.12712v1}, }