QUANTUM STATISTICAL INTERFERENCE

这个跨学科的项目开发了新的方法，并解释了 统计推断新技术的理论与应用 量子系统。基础生物医学研究的许多领域现已接近或 很快就会进入量子噪声有限的区域。熟悉的，古典的 统计方法不适用于此类数据，因为基本上， 抽样、分布和推断的通常规则不再是 有效。 取代了传统的统计推断和生物医学方法 数据分析，由Helstrom开发的数学严谨的替代方案， Holevo和其他许多人，在过去的20年里被使用。该项目已 包括扩展基本理论，寻找与乔丹的联系 代数，并研究了有意义的一系列合理的应用 检测和评估中的生物医学问题。

This cross-disciplinary project develops new methods and explicates the theory and applications of new techniques for statistical inference for quantum systems. Many domains of basic biomedical research are now near or will soon be in quantum-noise limited regimes. Familiar, classical statistical methods are not applicable for such data because, basically, the usual rules for sampling, distributions and inference are no longer valid. In place of the classical methods of statistical inference and biomedical data analysis, mathematically rigorous alternatives developed by Helstrom, Holevo and many others, in the last twenty years are used. The project has included extending the basic theory, finding connections with Jordan algebras, and studying a range of plausible applications for significant biomedical problems in detection and estimation.