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quant-ph2025
Quantum Langevin Dynamics for Optimization
Zherui Chen, Yuchen Lu, Hao Wang +2
We initiate the study of utilizing Quantum Langevin Dynamics (QLD) to solve optimization problems, particularly those non-convex objective functions that present substantial obstac…
quant-ph2024
Quantum Algorithms and Lower Bounds for Finite-Sum Optimization
Yexin Zhang, Chenyi Zhang, Cong Fang +2
Finite-sum optimization has wide applications in machine learning, covering important problems such as support vector machines, regression, etc. In this paper, we initiate the stud…
quant-ph2024
Quantum Non-Identical Mean Estimation: Efficient Algorithms and Fundamental Limits
Jiachen Hu, Tongyang Li, Xinzhao Wang +3
We systematically investigate quantum algorithms and lower bounds for mean estimation given query access to non-identically distributed samples. On the one hand, we give quantum me…