论文标题
量子状态断层扫描，纠缠检测和大颗粒弱衰变的前景
Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles
论文作者
论文摘要
提出了一种从角衰减数据中确定多粒子系统的旋转密度矩阵的相当通用方法。该方法基于$ρ$的$ d $二维广义gell-mann表示的Bloch参数化，并在球体上利用关联的Wigner-和Weyl-Transforms。 （可能是多部分）旋转密度矩阵的每个参数可以从适当的一组实验角衰减分布的简单平均值来测量。描述了投影和非注射衰减的一般过程，以及针对旋转，旋转，旋转和旋转3/2系统计算的Wigner $ p $和$ q $符号。这些方法用于检查$ pp $碰撞系统的蒙特卡洛模拟：$ pp \ rightarrow w^+w^+w^ - $，$ pp \ rightarrow zz $，$ pp \ rightarrow zw^+$，$ pp \ pp \ pp \ rightarrow w^+bar w^+bar {t} $ bar { $ h \ rightarrow ww^{*} $和$ h \ rightarrow zz^*$。提出了用于纠缠检测，交换对称性检测和贝尔不平等的测量值。
A rather general method for determining the spin density matrix of a multi-particle system from angular decay data is presented. The method is based on a Bloch parameterisation of the $d$-dimensional generalised Gell-Mann representation of $ρ$ and exploits the associated Wigner- and Weyl-transforms on the sphere. Each parameter of a (possibly multipartite) spin density matrix can be measured from a simple average over an appropriate set of experimental angular decay distributions. The general procedures for both projective and non-projective decays are described, and the Wigner $P$ and $Q$ symbols calculated for the cases of spin-half, spin-one, and spin-3/2 systems. The methods are used to examine Monte Carlo simulations of $pp$ collisions for bipartite systems: $pp\rightarrow W^+W^-$, $pp\rightarrow ZZ$, $pp\rightarrow ZW^+$, $pp\rightarrow W^+\bar{t}$, $t\bar{t}$, and those from the Higgs boson decays $H\rightarrow WW^{*}$ and $H\rightarrow ZZ^*$. Measurements are proposed for entanglement detection, exchange symmetry detection and Bell inequality violation in bipartite systems.
