科学研究
科学研究
实验室

量子算法实验室

       量子算法实验室由李彤阳博士于2021年创立。该实验室专注于研究量子计算机上的算法,主要探讨机器学习、优化、统计学、数论、图论等方向的量子算法及其相对于经典计算的量子加速;也包括近期 NISQ (Noisy, Intermediate-Scale Quantum Computers) 量子计算机上的量子算法。

 

实验室成员

 

              李彤阳

 

实验室代表成果

 

■ (by contribution) Han Zhong*, Jiachen Hu*, Yecheng Xue, Tongyang Li, and Liwei Wang. Provably Efficient Exploration in Quantum Reinforcement Learning with Logarithmic Worst-Case Regret. Accepted by the 41st International Conference on Machine Learning (ICML 2024).

■ (by contribution) Yexin Zhang*, Chenyi Zhang*, Cong Fang, Liwei Wang, and Tongyang LiQuantum Algorithms and Lower Bounds for Finite-Sum Optimization. Accepted by the 41st International Conference on Machine Learning (ICML 2024).

■ (by contribution) Xinzhao Wang, Shengyu Zhang, and Tongyang LiA Quantum Algorithm Framework for Discrete Probability Distributions with Applications to Rényi Entropy Estimation. To appear in IEEE Transactions on Information Theory, 2024.

■ Jiachen Hu, Tongyang Li, Xinzhao Wang, Yecheng Xue, Chenyi Zhang, and Han Zhong. Quantum Non-Identical Mean Estimation: Efficient Algorithms and Fundamental Limits. Accepted by the 19th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2024).

■ Wenhao He, Tongyang Li, Xiantao Li, Zecheng Li, Chunhao Wang, and Ke Wang. Efficient Optimal Control of Open Quantum Systems. Accepted by the 19th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2024).

■ (by contribution) Zhiding Liang*, Zhixin Song*, Jinglei Cheng*, Hang Ren*, Tianyi Hao*, Rui Yang*, Yiyu Shi, and Tongyang LiSpacePulse: Combining Parameterized Pulses and Contextual Subspace for More Practical VQE. Accepted by the 61st Design Automation Conference (DAC 2024).

■ (by contribution) Hao Wang*, Chenyi Zhang*, and Tongyang LiNear-Optimal Quantum Algorithm for Minimizing the Maximal Loss. Accepted by the 12th International Conference on Learning Representations (ICLR 2024).

■ Minbo Gao, Zhengfeng Ji, Tongyang Li, and Qisheng Wang, Logarithmic-Regret Quantum Learning Algorithms for Zero-Sum Games. Accepted by the 37th Conference on Neural Information Processing Systems (NeurIPS 2023).

■ (by contribution) Yizhou Liu, Weijie J. Su, and Tongyang LiOn Quantum Speedups for Nonconvex Optimization via Quantum Tunneling Walks. Quantum, 7:1030, 2023.

■ (by contribution) Yecheng Xue*, Xiaoyu Chen*, Tongyang Li, and Shaofeng H.-C. Jiang, Near-Optimal Quantum Coreset Construction Algorithms for Clustering. Accepted by the 40th International Conference on Machine Learning (ICML 2023).

■ (by contribution) Chenyi Zhang and Tongyang LiQuantum Lower Bounds for Finding Stationary Points of Nonconvex Functions. Accepted by the 40th International Conference on Machine Learning (ICML 2023).

■ (by contribution) Yan Zhu, Ge Bai, Yuexuan Wang, Tongyang Li, and Giulio Chiribella, Quantum autoencoders for communication-efficient quantum cloud computing. Quantum Machine Intelligence, Vol. 5, No. 27, 2023.

■ Shouvanik Chakrabarti, Andrew M. Childs, Shih-Han Hung, Tongyang Li, Chunhao Wang, and Xiaodi Wu, Quantum algorithm for estimating volumes of convex bodies. ACM Transactions on Quantum Computing Vol. 4, No. 3, 1-60, 2023; also a single-track contributed talk at the 23rd Annual Conference on Quantum Information Processing (QIP 2020; 17 among 283 submissions).

■ (by contribution) Qi Zhao, You Zhou, Alexander F. Shaw, Tongyang Li, and Andrew M. Childs, Hamiltonian simulation with random inputs. Physical Review Letters, Vol. 129, 270502, 2022; also a contributed talk at the 25th Conference on Quantum Information Processing (QIP 2022).

■ (by contribution) Zongqi Wan, Zhijie Zhang, Tongyang Li, Jialin Zhang, and Xiaoming Sun, Quantum Multi-Armed Bandits and Stochastic Linear Bandits Enjoy Logarithmic Regrets. Proceedings of the 37th AAAI Conference on Artificial Intelligence (AAAI 2023), Vol. 37, No. 8, 10087-10094, 2023.

■ (by contribution) Xiao-Ming Zhang, Tongyang Li, and Xiao Yuan, Quantum State Preparation with Optimal Circuit Depth: Implementations and Applications. Physical Review Letters, Vol. 129, 230504, 2022.

■ Nai-Hui Chia, András Gilyén, Tongyang Li, Han-Hsuan Lin, Ewin Tang, and Chunhao Wang, Sampling-based sublinear low-rank matrix arithmetic framework for dequantizing quantum machine learning, Journal of the ACM, Vol. 69, No. 5, 1-72, 2022. Previous conference version published in the Proceedings of the 52nd Annual ACM Symposium on Theory of Computing (STOC 2020), 387–400, 2020; also a contributed talk at the 23rd Annual Conference on Quantum Information Processing (QIP 2020).

■ Andrew M. Childs, Jiaqi Leng, Tongyang Li, Jin-Peng Liu, and Chenyi Zhang, Quantum simulation of real-space dynamics. Quantum, 6:860, 2022.

■ Andrew M. Childs, Tongyang Li, Jin-Peng Liu, Chunhao Wang, and Ruizhe Zhang, Quantum Algorithms for Sampling Log-Concave Distributions and Estimating Normalizing Constants. Proceedings of the 36th Conference on Neural Information Processing Systems (NeurIPS 2022), 23205-23217, 2022; also a contributed talk at the 26th Conference on Quantum Information Processing (QIP 2023).

Tongyang Li and Ruizhe Zhang, Quantum Speedups of Optimizing Approximately Convex Functions with Applications to Logarithmic Regret Stochastic Convex Bandits. Proceedings of the 36th Conference on Neural Information Processing Systems (NeurIPS 2022), 3152-3164, 2022.

■ (by contribution) Chenyi Zhang and Tongyang LiEscape saddle points by a simple gradient-descent based algorithm. Proceedings of the 35th Conference on Neural Information Processing Systems (NeurIPS 2021), 8545-8556, 2021.

■ (by contribution) Chenyi Zhang*, Jiaqi Leng*, and Tongyang Li, Quantum algorithms for escaping from saddle points. Quantum, 5:529, 2021.

■ Andrew M. Childs, Shih-Han Hung, and Tongyang Li, Quantum query complexity with matrix-vector products. To appear in the 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021). arXiv:2102.11349
■ Troy Lee, Tongyang Li, Miklos Santha, and Shengyu Zhang, On the cut dimension of a graph. To appear in the 2021 Computational Complexity Conference (CCC 2021). arXiv:2011.05085
■ (by contribution) Tongyang Li∗, Chunhao Wang∗, Shouvanik Chakrabarti, and Xiaodi Wu, Sublinear classical and quantum algorithms for general matrix games. To appear in the 35th AAAI Conference on Artificial Intelligence (AAAI 2021). arXiv:2012.06519
■ (by contribution) Daochen Wang∗, Xuchen You∗, Tongyang Li, and Andrew M. Childs, Quantum exploration algorithms for multi-armed bandits. To appear in the 35th AAAI Conference on Artificial Intelligence (AAAI 2021); also a contributed talk at the 4th Annual Conference on Quantum Techniques in Machine Learning (QTML 2020). arXiv:2007.07049
■ Nai-Hui Chia, Tongyang Li, Han-Hsuan Lin, and Chunhao Wang, Quantum-inspired sublinear algorithm for solving low-rank semidefinite programming. Proceedings of the 45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020), Vol. 170, 23:1–23:15, Leibniz International Proceedings in Informatics, 2020. arXiv:1901.03254
■ Nai-Hui Chia, András Gilyén, Tongyang Li, Han-Hsuan Lin, Ewin Tang, and Chunhao Wang, Sampling-based sublinear low-rank matrix arithmetic framework for dequantizing quantum machine learning. Proceedings of the 52nd Annual ACM Symposium on Theory of Computing (STOC 2020), 387–400, 2020; also a contributed talk at the 23rd Annual Conference on Quantum Information Processing (QIP 2020). arXiv:1910.06151
■ András Gilyén and Tongyang Li, Distributional property testing in a quantum world. Proceedings of the 11th Annual Conference on Innovations in Theoretical Computer Science (ITCS 2020), Vol. 151, 25:1–25:19, Leibniz International Proceedings in Informatics, 2020. arXiv:1902.00814
■ (by contribution) Shouvanik Chakrabarti∗, Yiming Huang∗, Tongyang Li, Soheil Feizi, and Xiaodi Wu, Quantum Wasserstein generative adversarial networks. Proceedings of the 33rd Annual Conference on Neural Information Processing Systems (NeurIPS 2019), 6778–6789, 2019. arXiv:1911.00111
■ (by contribution) Tongyang Li, Shouvanik Chakrabarti, and Xiaodi Wu, Sublinear quantum algorithms for training linear and kernel-based classifiers. Proceedings of the 36th International Conference on Machine Learning (ICML 2019), 3815–3824, 2019. arXiv:1904.02276
■ Shouvanik Chakrabarti, Andrew M. Childs, Tongyang Li, and Xiaodi Wu, Quantum algorithms and lower bounds for convex optimization, Quantum, 4:221, 2020; also a contributed talk at the 22nd Annual Conference on Quantum Information Processing (QIP 2019). arXiv:1809.01731
Tongyang Li and Xiaodi Wu, Quantum query complexity of entropy estimation. IEEE Transactions on Information Theory Vol. 65, no. 5, 2899–2921, 2019. arXiv:1710.06025
■ Fernando G.S.L. Brandão, Amir Kalev, Tongyang Li, Cedric Y.-Y. Lin, Krysta M. Svore, and Xiaodi Wu, Quantum SDP Solvers: Large Speed-ups, Optimality, and Applications to Quantum Learning. Proceedings of the 46th International Colloquium on Automata, Languages and Programming (ICALP 2019), Vol. 132, 27:1–27:14, Leibniz International Proceedings in Informatics, 2019; also a contributed talk at the 22nd Annual Conference on Quantum Information Processing (QIP 2019). arXiv:1710.02581
■ Andrew M. Childs and Tongyang Li, Efficient simulation of sparse Markovian quantum dynamics. Quantum Information & Computation 17 (2017), no. 11-12, 901–947,arXiv:1611.05543
■ (by contribution) Tongyang Li, Lei Song, Yongcai Wang, and Haisheng Tan, On Target Counting by Sequential Snapshots of Binary Proximity Sensors. In Proceedings of the 12th European Conference on Wireless Sensor Networks (EWSN 2015), pp. 19-34.