13 citations · 61 across the 18 of their papers we have counts for
18 papers
Limitations of the Macaulay matrix approach for using the HHL algorithm to solve multivariate polynomial systems
Jintai Ding, Vlad Gheorghiu, András Gilyén +2
Recently Chen and Gao~\cite{ChenGao2017} proposed a new quantum algorithm for Boolean polynomial system solving, motivated by the cryptanalysis of some post-quantum cryptosystems.…
A physical study of the LLL algorithm
Jintai Ding, Seungki Kim, Tsuyoshi Takagi +2
This paper presents a study of the LLL algorithm from the perspective of statistical physics. Based on our experimental and theoretical results, we suggest that interpreting LLL as…
LLL and stochastic sandpile models
Jintai Ding, Seungki Kim, Tsuyoshi Takagi +1
Theaimofthepresentpaperistosuggestthatstatisticalphysicsprovides the correct language to understand the practical behavior of the LLL algorithm, most of which are left unexplained…
A Remark On the FRTS realization and Drinfeld Realization of Quantum Affine Superalgebra
Jintai Ding
In this paper, we present the hidden symmetry behind the Faddeev-Reshetikhin-Takhtajan-Semenov-Tian-Shansky realization of quantum affine superalgebras and a…
Generalized Drinfeld realization of quantum superalgebras and
Jintai Ding, Boris Feigin
In this paper, we extend the generalization of Drinfeld realization of quantum affine algebras to quantum affine superalgebras with its Drinfeld comultiplication and its Hopf algeb…
Weyl group extension of quantized current algebras
Jintai Ding, Sergei Khoroshkin
In this paper, we extend the Drinfeld current realization of quantum affine algebras and of the Yangians in several directions: we construct current operators for…