论文标题
单Qubit通道的Solovay-Kitaev分解的自旋轨道实施
Spin-orbit implementation of Solovay-Kitaev decomposition of single-qubit channels
论文作者
论文摘要
Solovay-Kitaev定理使我们能够通过一组通用门的有限基本操作序列近似任何单量门栅极，以任意准确性。受此分解的启发，我们提出了一个量子通道模拟器，该模拟器能够实现任何完全积极的痕量保护图。我们的实现由一个辅助值组成，它以激光束的横向模式（轨道自由度）编码，一个量子系统，一个量子系统，在其极化（旋转）中编码，一个旋转轨道CNOT栅极和四个由棱镜和偏光成分执行的四个单个单位操作。我们的结果描述了使用横向模式作为辅助量子位在光子极化上的任意单品通道的实现。
The Solovay-Kitaev theorem allows us to approximate any single-qubit gate to arbitrary accuracy with a finite sequence of fundamental operations from a universal set of gates. Inspired by this decomposition, we present a quantum channel simulator capable of implementing any completely positive trace-preserving map. Our realization consists of one ancillary qubit, encoded in the transverse mode of a laser beam (orbital degree of freedom), one qubit system, encoded in its polarization (spin), one spin-orbit CNOT gate and four single-qubit operations performed with prisms and polarization components. Our results describe the implementation of arbitrary single-qubit channels on the photon polarization using the transverse mode as the ancillary qubit.
