Let C be a nonempty closed convex subset of a real Banach space E. Let S ： C→ C be a quasi-nonexpansive mapping, let T ： C→C be an asymptotically demicontractive and uniformly Lipschitzian mapping, and let F ：= ...Let C be a nonempty closed convex subset of a real Banach space E. Let S ： C→ C be a quasi-nonexpansive mapping, let T ： C→C be an asymptotically demicontractive and uniformly Lipschitzian mapping, and let F ：= {x ∈C ： Sx = x and Tx = x}≠Ф Let {xn}n≥0 be the sequence generated irom an arbitrary x0∈Cby xn＋i=（1-cn）Sxn＋cnT^nxn, n≥0.We prove the necessary and sufficient conditions for the strong convergence of the iterative sequence {xn} to an element of F. These extend and improve the recent results of Moore and Nnoli.展开更多
Owing to their inexpensive and environmentally friendly properties,iron-based catalysts have been actively investigated for new organic reactions.In this account,we summarized our recent results on iron-catalyzed cros...Owing to their inexpensive and environmentally friendly properties,iron-based catalysts have been actively investigated for new organic reactions.In this account,we summarized our recent results on iron-catalyzed cross-coupling reactions and homo-coupling reactions.With iron-based catalysts,we constructed diverse carbon-carbon bonds,i.e.,C(sp^2)-C(sp^3),C(sp^3)-C(sp^3),C(sp^3)-C(sp^2)and C(sp^2)-C(sp^2)bonds.In order to demonstrate the usefulness of our iron protocol,we also carried out these reactions on gram-scale reactions,leading to good yields.展开更多
Manipulating the frequency and bandwidth of nonclassical light is essential for implementing frequency-encoded/multiplexed quantum computation,communication,and networking protocols,and for bridging spectral mismatch ...Manipulating the frequency and bandwidth of nonclassical light is essential for implementing frequency-encoded/multiplexed quantum computation,communication,and networking protocols,and for bridging spectral mismatch among various quantum systems.However,quantum spectral control requires a strong nonlinearity mediated by light,microwave,or acoustics,which is challenging to realize with high efficiency,low noise,and on an integrated chip.Here,we demonstrate both frequency shifting and bandwidth compression of heralded single-photon pulses using an integrated thin-film lithium niobate(TFLN)phase modulator.We achieve record-high electro-optic frequency shearing of telecom single photons over terahertz range(±641 GHz or±5.2 nm),enabling high visibility quantum interference between frequency-nondegenerate photon pairs.We further operate the modulator as a time lens and demonstrate over eighteen-fold(6.55 nm to 0.35 nm)bandwidth compression of single photons.Our results showcase the viability and promise of on-chip quantum spectral control for scalable photonic quantum information processing.展开更多
In 1883,Henry A.Rowland,the first President of the American Physical Society and Professor of Physics at Johns Hopkins University,published an essay entitled“A Plea for Pure Science”in Popular Science Monthly.He too...In 1883,Henry A.Rowland,the first President of the American Physical Society and Professor of Physics at Johns Hopkins University,published an essay entitled“A Plea for Pure Science”in Popular Science Monthly.He took the development of gunpowder as an example to emphasize that SCIENCE itself must be sought in the applications of science.“They(Chinese)have known the application of gunpowder for centuries;and yet the reasons for its peculiar action,if sought in the proper manner,would have developed the science of chemistry,and even of physics,with all their numerous applications.”展开更多
基金the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE,Chinathe Dawn Program Foundation in Shanghai and partially supported by grant from the National Science Council of Taiwan
文摘Let C be a nonempty closed convex subset of a real Banach space E. Let S ： C→ C be a quasi-nonexpansive mapping, let T ： C→C be an asymptotically demicontractive and uniformly Lipschitzian mapping, and let F ：= {x ∈C ： Sx = x and Tx = x}≠Ф Let {xn}n≥0 be the sequence generated irom an arbitrary x0∈Cby xn＋i=（1-cn）Sxn＋cnT^nxn, n≥0.We prove the necessary and sufficient conditions for the strong convergence of the iterative sequence {xn} to an element of F. These extend and improve the recent results of Moore and Nnoli.
基金financed by National Natural Science Foundation of China (Nos. 21672181, 21272199)GRF/RGC (Nos. 403012, CUHK14309216, CUHK14303815)+1 种基金grant to the State Key Laboratory of Synthetic Chemistry from the Innovation and Technology Commission, The Chinese Academy of Sciences-Croucher Foundation Funding Scheme for Joint LaboratoriesDirect Grant (No. 4053325) from The Chinese University of Hong Kong
文摘Owing to their inexpensive and environmentally friendly properties,iron-based catalysts have been actively investigated for new organic reactions.In this account,we summarized our recent results on iron-catalyzed cross-coupling reactions and homo-coupling reactions.With iron-based catalysts,we constructed diverse carbon-carbon bonds,i.e.,C(sp^2)-C(sp^3),C(sp^3)-C(sp^3),C(sp^3)-C(sp^2)and C(sp^2)-C(sp^2)bonds.In order to demonstrate the usefulness of our iron protocol,we also carried out these reactions on gram-scale reactions,leading to good yields.
基金supported by Harvard Quantum Initiative(HQI),ARO/DARPA(W911NF2010248),AFOSR(FA9550-20-1-01015),DARPA LUMOS(HR0011-20-C-0137),DOE(DE-SC0020376),NSF(EEC-1941583,ECCS-1839197),and AFRL(FA9550-21-1-0056)support by HQI post-doctoral fellowship and A*STAR SERC Central Research Fund(CRF)support by the AQT Intelligent Quantum Networks and Technologies(INQNET)research program.
文摘Manipulating the frequency and bandwidth of nonclassical light is essential for implementing frequency-encoded/multiplexed quantum computation,communication,and networking protocols,and for bridging spectral mismatch among various quantum systems.However,quantum spectral control requires a strong nonlinearity mediated by light,microwave,or acoustics,which is challenging to realize with high efficiency,low noise,and on an integrated chip.Here,we demonstrate both frequency shifting and bandwidth compression of heralded single-photon pulses using an integrated thin-film lithium niobate(TFLN)phase modulator.We achieve record-high electro-optic frequency shearing of telecom single photons over terahertz range(±641 GHz or±5.2 nm),enabling high visibility quantum interference between frequency-nondegenerate photon pairs.We further operate the modulator as a time lens and demonstrate over eighteen-fold(6.55 nm to 0.35 nm)bandwidth compression of single photons.Our results showcase the viability and promise of on-chip quantum spectral control for scalable photonic quantum information processing.
文摘In 1883,Henry A.Rowland,the first President of the American Physical Society and Professor of Physics at Johns Hopkins University,published an essay entitled“A Plea for Pure Science”in Popular Science Monthly.He took the development of gunpowder as an example to emphasize that SCIENCE itself must be sought in the applications of science.“They(Chinese)have known the application of gunpowder for centuries;and yet the reasons for its peculiar action,if sought in the proper manner,would have developed the science of chemistry,and even of physics,with all their numerous applications.”
