Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Changpeng Shao"'
Autor:
Changpeng Shao, Sen Lin
Publikováno v:
Humanities & Social Sciences Communications, Vol 11, Iss 1, Pp 1-14 (2024)
Abstract Green consumption is critical for achieving sustainable development goals. Many studies have focused on explaining why customers choose green consumption, but rarely have scholars considered the significant impacts of the psychological costs
Externí odkaz:
https://doaj.org/article/f10d362a3044467d8cf5bcc2b08cc4a4
Publikováno v:
Quantum, Vol 5, p 481 (2021)
Inspired by recent progress in quantum algorithms for ordinary and partial differential equations, we study quantum algorithms for stochastic differential equations (SDEs). Firstly we provide a quantum algorithm that gives a quadratic speed-up for mu
Externí odkaz:
https://doaj.org/article/b3a13f2d1d1b46e392e1a43f0c191e79
Autor:
Shi-Jie Wei, Chao Wei, Peng Lv, Changpeng Shao, Pan Gao, Zengrong Zhou, Keren Li, Tao Xin, Gui-Lu Long
Publikováno v:
Science Bulletin. 68:494-502
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::14b36ba3a11b956fe86fcf96b96d737a
https://doi.org/10.1016/j.scib.2023.02.016
https://doi.org/10.1016/j.scib.2023.02.016
Autor:
Changpeng Shao
Publikováno v:
ACM Transactions on Quantum Computing. 3:1-20
Computing eigenvalues of matrices is ubiquitous in numerical linear algebra problems. Currently, fast quantum algorithms for estimating eigenvalues of Hermitian and unitary matrices are known. However, the general case is far from fully understood in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86488d24069a3b5d2ff56e6b0a9072ac
https://doi.org/10.1145/3527845
https://doi.org/10.1145/3527845
Publikováno v:
International Journal of Theoretical Physics. 60:2592-2603
To solve the linear systems of equations Ax = b on a quantum computer, Shao and Xiang proposed a quantum version of row and column methods by establishing unitary operators in each iteration step based on the block-encoding technique in Shao and Xian
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6fefaa0763312aa2517edb1151d931ac
https://doi.org/10.1007/s10773-020-04685-w
https://doi.org/10.1007/s10773-020-04685-w
Autor:
Changpeng Shao, Jin-Peng Liu
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 478
Many eigenvalue problems arising in practice are often of the generalized form $A\x=\lambda B\x$. One particularly important case is symmetric, namely $A, B$ are Hermitian and $B$ is positive definite. The standard algorithm for solving this class of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1de4c798c948ae4099afa51c779be867
https://doi.org/10.1098/rspa.2021.0797
https://doi.org/10.1098/rspa.2021.0797
Autor:
CHANGPENG SHAO1 changpeng.shao@bristol.ac.uk
Publikováno v:
SIAM Journal on Matrix Analysis & Applications. 2023, Vol. 44 Issue 1, p212-239. 28p.
Publikováno v:
Journal of Systems Science and Complexity. 32:375-452
In recent years, rapid developments of quantum computer are witnessed in both the hardware and the algorithm domains, making it necessary to have an updated review of some major techniques and applications in quantum algorithm design. In this survey
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3353407a03ec82f9924b9ee20e9724f
https://doi.org/10.1007/s11424-019-9008-0
https://doi.org/10.1007/s11424-019-9008-0
Autor:
Changpeng Shao
We propose a new deterministic Kaczmarz algorithm for solving consistent linear systems $A\mathbf{x}=\mathbf{b}$. Basically, the algorithm replaces orthogonal projections with reflections in the original scheme of Stefan Kaczmarz. Building on this, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::352736bcf1659c6686b0557cbcafe57f
http://arxiv.org/abs/2105.07736
http://arxiv.org/abs/2105.07736
Quantum computers are predicted to outperform classical ones for solving partial differential equations, perhaps exponentially. Here we consider a prototypical PDE - the heat equation in a rectangular region - and compare in detail the complexities o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8060d92fe38a400980557e56b550c298
http://arxiv.org/abs/2004.06516
http://arxiv.org/abs/2004.06516