4 papers
Conditioning-Free Non-Uniform Quantum Fourier and Chebyshev Transforms
Chaowen Guan, Akshit Katiyar
We present an efficient quantum algorithm for the non-uniform Chebyshev transform. It is defined as the projection of a function onto Chebyshev polynomials sampled at given nodes t…
Quantum Kravchuk Transform using fast-forwarding
Chaowen Guan, Akshit Katiyar
We present a quantum algorithm for the Kravchuk transform that scales logarithmically in both the dimension and the inverse of the error parameter. The quantum Kravchuk transform m…
Quantum Non-Linear Bandit Optimization
Zakaria Shams Siam, Chaowen Guan, Chong Liu
We study non-linear bandit optimization where the learner maximizes a black-box function with zeroth order function oracle, which has been successfully applied in many critical app…
Quantum Algorithms for Non-smooth Non-convex Optimization
Chengchang Liu, Chaowen Guan, Jianhao He +1
This paper considers the problem for finding the -Goldstein stationary point of Lipschitz continuous objective, which is a rich function class to cover a great number of imp…