13 citations · 29 across the 14 of their papers we have counts for
4 papers · 1 filter
On the Computational Complexity of Schrödinger Operators
Yufan Zheng, Jiaqi Leng, Yizhou Liu +1
We study computational problems related to the Schrödinger operator in the real space under the condition that (i) the potential function is smooth and has its valu…
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…
On Quantum Speedups for Nonconvex Optimization via Quantum Tunneling Walks
Yizhou Liu, Weijie J. Su, Tongyang Li
Classical algorithms are often not effective for solving nonconvex optimization problems where local minima are separated by high barriers. In this paper, we explore possible quant…
Relating measurement disturbance, information and orthogonality
Yizhou Liu, John B. DeBrota
In the general theory of quantum measurement, one associates a positive semidefinite operator on a -dimensional Hilbert space to each of the possible outcomes of an arbitrar…