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UNITARY: 作品数：230被引量：197H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：王浩刚宋红兵彭秀艳袁都奇刘宝宝更多>>; 相关机构：宝鸡文理学院复旦大学浙江大学南京师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>

Quantum convolution inequalities on Frobenius von Neumann algebras: 《Science China Mathematics》2025年第3期615-636,共22页Linzhe Huang Zhengwei Liu Jinsong Wu; supported by Beijing Municipal Science&Technology Commission,Administrative Commission of Zhongguancun Science Park(Grant No.Z221100002722017);supported by grants from Beijing Institute of Mathematical Sciences and Applications;supported by China’s National Key R&D Programmes(Grant No.2020YFA0713000);Tsinghua University(Grant No.04200100122);Templeton Religion Trust(TRT 159);supported by Beijing Natural Science Foundation Key Program(Grant No.Z220002);supported by National Natural Science Foundation of China(Grant Nos.12031004 and 12371124)。; In this paper,we introduce Frobenius von Neumann algebras and study quantum convolution inequalities.In this framework,we unify quantum Young's inequality on quantum symmetries such as subfactors,and fusion bi-algebra...; 关键词：Frobenius von Neumann algebra quantum Young's inequality quantum entropic convolution inequality unitary categorification

THE STABILITY OF AF-RELATIONS: 《Acta Mathematica Scientia》2024年第6期2443-2464,共22页Jiajie HUA; supported by the Scientific Research Fund of Zhejiang Provincial Education Department(Y202249575);the National Natural Science Foundation of China(11401256);the Zhejiang Provincial Natural Science Foundation of China(LQ13A010016)。; For given l,s∈N,Λ={ρ_(j)}_(j=i),…,s,ρj∈T,the C^(*)-algebra B:=ε({r_(j)}_(j=1),…,s,Λ,l)is defined to be the universal C^(*)-algebra generated by l unitaries u_(1),…,u_(l) subject to the relations r_(j)(u_(1),...; 关键词：C^(*)-algebras STABILITY AF-relations UNITARY

UAMP-Based Delay-Doppler Channel Estimation for OTFS Systems: 《China Communications》2024年第10期1-15,共15页Li Zhongjie Yuan Weijie Guo Qinghua Wu Nan Zhang Ji; supported by the Key Scientific Research Project in Colleges and Universities of Henan Province of China(Grant Nos.21A510003);Science and the Key Science and Technology Research Project of Henan Province of China(Grant Nos.222102210053)。; Orthogonal time frequency space(OTFS)technique, which modulates data symbols in the delayDoppler(DD) domain, presents a potential solution for supporting reliable information transmission in highmobility vehicular net...; 关键词：channel estimation hidden Markov model(HMM) orthogonal time frequency space(OTFS) unitary approximate message passing(UAMP)

The unitary subgroups of group algebras for a class of finite 2-groups with the derived subgroup of order 2: 《Science China Mathematics》2024年第9期1989-2018,共30页Yulei Wang Heguo Liu; supported by National Natural Science Foundation of China(Grant No.12171142)。; Let p be a prime and F be a finite field of characteristic p.Suppose that FG is the group algebra of the finite p-group G over the field F.Let V(FG)denote the group of normalized units in FG and let V_(*)(FG)denote th...; 关键词：normalized unit unitary subgroup inner abelian p-group central extension

Combined UAMP and MF Message Passing Algorithm for Multi-Target Wideband DOA Estimation with Dirichlet Process Prior: 《Tsinghua Science and Technology》2024年第4期1069-1081,共13页Shanwen Guan Xinhua Lu Ji Li Rushi Lan Xiaonan Luo; supported in part by the National Natural Science Foundation of China(Nos.6202780103 and 62033001);the Innovation Key Project of Guangxi Province(No.AA22068059);the Key Research and Development Program of Guilin(No.2020010332);the Natural Science Foundation of Henan Province(No.222300420504);Academic Degrees and Graduate Education Reform Project of Henan Province(No.2021SJGLX262Y).; When estimating the direction of arrival (DOA) of wideband signals from multiple sources, the performance of sparse Bayesian methods is influenced by the frequency bands occupied by signals in different directions. Th...; 关键词：wideband direction of arrival(DOA)estimation sparse Bayesian learning(SBL) unitary approximate message passing(UAMP)algorithm Dirichlet process(DP)

Is Yang-Mills theory unitary in fractional spacetime dimensions?: 《Science China(Physics,Mechanics & Astronomy)》2024年第7期59-64,共6页Qingjun Jin Ke Ren Gang Yang Rui Yu; supported by the National Natural Science Foundation of China(Grant Nos.12175291,11935013,and 12047503);the Chinese Academy of Siences(Grant No.YSBR-101);the support of the HPC Cluster of the Institute of Theoretical Physics,Chinese Academy of Sciences(ITP-CAS)。; We present concrete evidence that Yang-Mills theory exhibits non-unitarity in non-integer spacetime dimensions.This violation of unitarity stems from evanescent operators that,while vanishing in four dimensions,are no...; 关键词：gauge field theories field theories in dimensions other than four RENORMALIZATION

Generalized Inverses and Units in a Unitary Ring: 《Acta Mathematica Sinica,English Series》2024年第4期1000-1014,共15页Yu Kun ZHOU Jian Long CHEN; Supported by the National Natural Science Foundation of China(Grant Nos.12171083,11871145,12071070);the Qing Lan Project of Jiangsu Province;the Postgraduate Research&Practice Innovation Program of Jiangsu Province(Grant No.KYCX22-0231)。; Let R be a unitary ring and a,b∈R with ab=0.We find the 2/3 property of Drazin invertibility:if any two of a,b and a+b are Drazin invertible,then so is the third one.Then,we combine the 2/3 property of Drazin inverti...; 关键词：Leftπ-regular element stronglyπ-regular element group inverse Drazin inverse inverse along an element

Equivariant Chern Classes of Orientable Toric Origami Manifolds: 《Chinese Annals of Mathematics,Series B》2024年第2期221-234,共14页Yueshan XIONG Haozhi ZENG; supported by the National Natural Science Foundation of China(Nos.11801186,11901218)。; A toric origami manifold,introduced by Cannas da Silva,Guillemin and Pires,is a generalization of a toric symplectic manifold.For a toric symplectic manifold,its equivariant Chern classes can be described in terms of ...; 关键词：Equivariant Chern classes Toric origami manifolds Unitary structures Spin structures

Transfer of Highest Weight Modules and Small Unipotent Representations: 《Acta Mathematica Sinica,English Series》2024年第3期772-791,共20页Hai An HE Jing Song HUANG Kayue Daniel WONG; supported by Natural Science Foundation of Shanghai (Grant No. 22ZR1422900);supported by the National Natural Science Foundation of China (Grant No. 11271460);Guangdong Province(Grant No. 2023A1515012186);Shenzhen City (Grant No. 2022373357);the Research Grants Council of HKSAR,China (Grant No. 16302521);supported by Shenzhen Science and Technology Innovation Committee (Grant No. 20220818094918001); We study the transfer between small special unipotent representations for all equal rank real forms of type E_(6) and E_(7). As a consequence, one can verify these modules are unitarity using the results of Wallach an...; 关键词：Unipotent representations Wallach representations Transfer of unitary modules

Power-efficient programmable integrated multiport photonic interferometer in CMOS-compatible silicon nitride: 《Photonics Research》2024年第3期I0011-I0020,共10页SHUQING LIN YANFENG ZHANG ZHAOYANG WU SHIHAO ZENG QING GAO JIAQI LI XIAOQUN YU SIYUAN YU; Innovation Program for Quantum Science and Technology(2021ZD0301400);National Natural Science Foundation of China(61975243,62335019);Science and Technology Program of Guangzhou(202103030001)。; Silicon nitride(SiNx)is an appealing waveguide material choice for large-scale,high-performance photonic integrated circuits(PICs)due to its low optical loss.However,SiNx PICs require high electric power to realize op...; 关键词：UNITARY ARBITRARY figuration

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