论文标题

其中一个:估计许多参数的函数

One from many: Estimating a function of many parameters

论文作者

Gross, Jonathan A., Caves, Carlton M.

论文摘要

对于量子多参数估计,很难制定可实现的灵敏度界限。考虑一个特殊情况,一个来自许多的参数:过程的许多参数是未知的;估计这些参数的特定线性组合,而无需控制任何参数。与单参数估计相似,该问题保留了真正的多参数方面。几何推理证明了必要和足够的条件,以使在这种情况下饱和基本和可实现的量子过程饱和。

Difficult it is to formulate achievable sensitivity bounds for quantum multiparameter estimation. Consider a special case, one parameter from many: many parameters of a process are unknown; estimate a specific linear combination of these parameters without having the ability to control any of the parameters. Superficially similar to single-parameter estimation, the problem retains genuinely multiparameter aspects. Geometric reasoning demonstrates the conditions, necessary and sufficient, for saturating the fundamental and attainable quantum-process bound in this context.

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