单螺旋光的覆盖信息不确定性
Coverage-information uncertainty for single-helicity light
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中文总结 AI 辅助
本文证明圆偏振远场的暗区导致覆盖率代价下界，构造达到最优指数的场族，并揭示其对单螺旋量子链路光子收集的限制。
中文摘要 AI 辅助
圆偏振远场必须在某处是暗的：其振幅是扭曲线丛的一个截面。我们证明这会产生联合覆盖率的代价，该代价不能比模式阶数的四次方倒数更快地消失，并且我们构造了一个显式的场族以达到该指数。在最低阶，全局最优是自旋-1反相干态，该态独立地已知为绕未知轴旋转的最优态。同样的下限限制了单螺旋量子链路中的光子收集；相反螺旋度以由模式数倒数设定的代价消除该下限。
英文摘要
A circularly polarized far field must be dark somewhere: its amplitude is a section of a twisted line bundle. We prove this exacts a joint coverage-rate cost that cannot vanish faster than the inverse fourth power of the mode order, and we construct an explicit family of fields attaining that exponent. At lowest order the global optimum is the spin-1 anticoherent state, independently known as optimal for rotations about an unknown axis. The same floor caps photon collection in single-helicity quantum links; the opposite helicity removes it at a cost set by the inverse mode count.
发表机构
- Chungnam National University（忠南国立大学）
机构由 AI 辅助整理，请以论文原文为准。
