论文标题
使用线性光学元件到统一量子运算符的最佳近似
Optimal approximation to unitary quantum operators with linear optics
论文作者
论文摘要
作用于光子数状态的线性光学系统会产生许多有趣的进化，但不能在输入状态下给出所有允许的量子操作。我们使用Toponogov的定理来自差异几何形状，我们提出了一种迭代方法，该方法对于任何任意量子运算符$ u $在$ m $模式下作用于$ n $ photons的$ u $，将返回可以用线性optics实现的操作员$ \ wideTilde {u} $。近似方法是局部最佳和收敛的。生成的运算符$ \ widetilde {u} $可以使用以前的结果转换为实验光学设置。
Linear optical systems acting on photon number states produce many interesting evolutions, but cannot give all the allowed quantum operations on the input state. Using Toponogov's theorem from differential geometry, we propose an iterative method that, for any arbitrary quantum operator $U$ acting on $n$ photons in $m$ modes, returns an operator $\widetilde{U}$ which can be implemented with linear optics. The approximation method is locally optimal and converges. The resulting operator $\widetilde{U}$ can be translated into an experimental optical setup using previous results.
