supported by the National Natural Science Foundation of China under Grant Nos.92265209,11174081 and 62305285;the Natural Science Foundation of Chongqing under Grant No.CSTB2024NSCQ-MSX0643;the Shanghai Municipal Science and Technology Major Project under Grant No.2019SHZDZX01。
Quantum algorithms offer more enhanced computational efficiency in comparison to their classical counterparts when solving specific tasks.In this study,we implement the quantum permutation algorithm utilizing a polar ...
supported by National Natural Science Foundation of China(Grant Nos.11971396,12131018 and 12161141001).
Let V be a vertex operator superalgebra and g=(12···k)be a k-cycle which is viewed as an automorphism of the tensor product vertex operator superalgebra V^(■k).In this paper,we construct an explicit isomorphism fr...
In combinatorics, permutations are important objects with many operations. In this paper, we define a coupling product on permutations and prove that the space spanned by permutations is a graded algebra.
National Natural Science Foundation of China(Grant No.12171362)。
Fishburn permutations are in bijection with several important combinatorial structures including interval orders.In this paper,we use the method of generating trees to enumerate two classes of pattern-avoiding Fishbur...
We explore the entanglement features of pure symmetric N-qubit states characterized by N-distinct spinors with a particular focus on the Greenberger-Horne-Zeilinger (GHZ) states and , an equal superposition of W and o...
supported by National Natural Science Foundation of China(No.12226335);by China's Central Government Funds for Guiding Local Scientific and Technological Development(No.2021ZYD0013).
Let p be an odd prime,and n,k be nonnegative integers.Let Dn,k(1,x)be the reversed Dickson polynomial of the(k+1)-th kind.In this paper,by using Hermite's criterion,we study the permutational properties of the reverse...
supported by the National Natural Science Foundation of China (11922416,11802256 and 12174072);the Hong Kong Research Grants Council (12302420, 12300419, 22302718 and C6013-18 G);the Hong Kong Baptist University(RC-SGT2/18-19/SCI/006)
Eigenstates of a non-Hermitian system exist on complex Riemannian manifolds,with multiple sheets connecting at branch cuts and exceptional points(EPs).These eigenstates can evolve across different sheets—a process th...
supported in part by the Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education under Grant NRF-2019R1A2C1006159 and Grant NRF-2021R1A6A1A03039493.
While designing and developing encryption algorithms for text and images,the main focus has remained on security.This has led to insufficient attention on the improvement of encryption efficiency,enhancement of hyperc...
the support of NCN,SHENG(Grant No.2018/30/Q/ST2/00625);supported by the Department of Science and Technology,India(Grant No.DST/ICPS/QUST/Theme-2/2019)。
We show that violation of the variance based local sum uncertainty relation(LSUR)for angular momentum operators of a bipartite system,proposed by Hofmann and Takeuchi[Phys.Rev.A 68032103(2003)],reflects entanglement i...
This work was supported by the Application Foundation Frontier Project of Wuhan Science and Technology Bureau(No.2020010601012189);the National Natural Science Foundation of China(Nos.61761166010,62072162).
Permutation polynomials with low differential uniformity and high nonlinearity are preferred in cryptographic systems. In 2018, Tu, Zeng and Helleseth constructed a new class of permutation quadrinomials over the fini...