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国家自然科学基金委员会中国学者首次实现无漏洞Hardy佯谬检验（图）
检验 光学 量子纠缠
2024/8/25
在国家自然科学基金项目（批准号：T2125010、62375252、62031024）等资助下，中国科学技术大学潘建伟教授、张强教授等与杭州电子科技大学、南开大学等单位合作，通过发展高效率和高保真度的光学量子纠缠态制备与测量系统，成功实现了关闭探测效率漏洞与局域性漏洞的Hardy佯谬检验。相关研究成果以“无漏洞的Hardy非定域性检验（Loophole-Free Test of Local Rea...
中国科学技术大学首次实现无漏洞Hardy佯谬检验（图）
无漏洞 Hardy佯谬检验 中国科学技术大学
2024/9/3
中国科学技术大学潘建伟、张强、陈凯等组成的研究团队与南开大学陈景灵等合作，通过发展高效率和高保真度的光学量子纠缠态制备与测量系统，成功实现了关闭探测效率漏洞与局域性漏洞的Hardy非定域性演示。该研究为量子力学非定域性提供了新的证据，并为相关的量子信息应用奠定了基础。2024年8月8日，相关研究成果以“编辑推荐（editor’s suggestion）”的形式发表在国际学术期刊《物理评论快报》（P...
Nitrogen, an element that is essential for all living cells, makes up about 78 percent of Earth’s atmosphere. However, most organisms cannot make use of this nitrogen until it is converted into ammoni...
研究一类带Hardy-Sobolev临界指数的Kirchhoff型方程其中Ω⊂R3是一个有界开区域且边界∂Ω光滑，0∈Ω，a，b≥0且a+b>0，λ>0，0 < q < 1，0≤s<1。利用变分方法，获得该问题正解的存在性结果。
Associate Professor Nancy M. Hardy，Department of Microbiology & Immunology at University of Maryland
Associate Professor Nancy M. Hardy Department of Microbiology & Immunology at University of Maryland
2015/12/31
Associate Professor Nancy M. Hardy，Department of Microbiology & Immunology at University of Maryland,Dr. Hardy received her M.D. from the University of Washington in 1995. She completed clinical train...
Despite a true antipathy to the subject Hardy contributed deeply to modern probability. His work with Ramanujan begat probabilistic number theory. His work on Tauberian theorems and divergent series h...
Restrictions to Invariant Subspaces of Composition Operators on the Hardy Space of the Disk
composition operator hardy semigroup
2015/1/19
Invariant subspaces are a natural topic in linear algebra and operator theory. In some rare cases, the restrictions of operators to different invariant subspaces are unitarily equivalent, such as cert...
Commutants of composition operators on the Hardy space of the disk
Composition operator Commutant Hardy space
2015/1/19
The main part of this thesis, Chapter 4, contains results on the commutant of a semigroup of operators defined on the Hardy Space of the disk where the operators have hyperbolic non-automorphic symbol...
带Hardy项的半线性椭圆方程非球对称解的研究（图）
非球对称解 变分方法 能量极小解 分支理论
2013/10/17
非球对称解的存在性.这里Ω={x|x∈Rn,n≥3,a<|x|<1} 是 Rn (n≥3) 中的环,其中0≤μ< μ=((n-2)/2})2,f(u)为已知函数.本文在讨论球对称解的性质的基础上,利用变分方法得到了方程的极小能量解的存在性,并且利用分支理论得到了方程的非球对称解.
Optimal relations between Lp-norms for the Hardy operator and its dual
Hardy operator Dual operator Best constants
2012/6/29
We obtain sharp two-sided inequalities between $L^p-$norms $(1Hardy operator, $H^*$ is its dual, and $f$ is a nonnegative measurable function...
Estimates for approximation numbers of some classes of composition operators on the Hardy space
approximation numbers Blaschke product composition operator cusp map Hardy space modulus of continuity Schatten classes
2012/6/21
We give estimates for the approximation numbers of composition operators on $H^2$, in terms of some modulus of continuity. For symbols whose image is contained in a polygon, we get that these approxim...
Valuation theory of exponential Hardy fields
Valuation theory of exponential Hardy fields Logic
2012/6/19
We describe the residue fields of arbitrary convex valuations on certain o-minimal expansions of the ordered field of real numbers. References: [1] Franz-Viktor and Salma Kuhlmann: Residue fields of a...
A Cesaro Average of Hardy-Littlewood numbers
Goldbach-type theorems Hardy-Littlewood numbers Laplace transforms Cesaro averages
2012/6/14
Let $\Lambda$ be the von Mangoldt function and (r_{\textit{HL}}(n) = \sum_{m_1 + m_2^2 = n} \Lambda(m_1),) be the counting function for the Hardy-Littlewood numbers. Let $N$ be a sufficiently large in...
Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas
Hardy space Numerical Integration Cubature formulas Error estimate
2012/4/23
The present paper has a twofold contribution: first, we introduce a new concept of Hardy spaces on a multidimensional complexified annular domain which is closely related to the annulus of the Klein-D...
A heat kernel version of Hardy's theorem for the Laguerre hypergroup
Laguerre hypergroup Uncertainty principle Hardy's theorem
2011/9/30
The uncertainty principle says that a function and its Fourier transform can't simultaneously decay very rapidly at infinity. A classical version of uncertainty principle, known as Hardy's theorem, wa...