论文标题
费米和玻色子的一般干扰
Generalized Interference of Fermions and Bosons
论文作者
论文摘要
使用表示理论中的工具，我们得出了干涉测量实验中可部分区分粒子的巧合速率的表达式。我们的表达对于玻色子或费米子以及任何数量的颗粒都是有效的。在使用$ n $粒子的实验中，我们得出的表达式包含一个整数$ n $的每个分区的术语； Gamas的定理用于根据粒子之间的成对级别来确定以下哪个术语自动为零。大多数采样方案（例如玻色子采样）仅限于完全无法区分的颗粒。我们的工作有助于理解允许任意分辨率的系统。作为我们工作的应用，我们引入了一个带有可部分区分的费米子的采样方案，我们称之为广义的费米昂采样。
Using tools from representation theory, we derive expressions for the coincidence rate of partially-distinguishable particles in an interferometry experiment. Our expressions are valid for either bosons or fermions, and for any number of particles. In an experiment with $n$ particles the expressions we derive contain a term for each partition of the integer $n$; Gamas's theorem is used to determine which of these terms are automatically zero based on the pairwise level of distinguishability between particles. Most sampling schemes (such as Boson Sampling) are limited to completely indistinguishable particles; our work aids in the understanding of systems where an arbitrary level of distinguishability is permitted. As an application of our work we introduce a sampling scheme with partially-distinguishable fermions, which we call Generalized Fermion Sampling.
