论文标题
通过cartan分解的线性光学元件的集体统一进化
Collective unitary evolution with linear optics by Cartan decomposition
论文作者
论文摘要
单一操作是量子信息处理的重要步骤。我们首先提出了一个迭代程序，用于分解一般的统一操作，而无需诉诸于控制门和单量旋转库。基于分解结果，我们设计了两个紧凑的体系结构，以决定分别实施任意的两质量极化空间和空间极化集体统一操作。所涉及的线性光学元件分别从25降低到20和21至20。此外，可以通过波板和相移可以灵活地操纵参数化的量子计算。作为应用程序，我们构造了特定的量子电路，以实现二维量子步行和量子傅立叶变换。我们的方案在当前的技术中很简单且可行。
Unitary operation is an essential step for quantum information processing. We first propose an iterative procedure for decomposing a general unitary operation without resorting to controlled-NOT gate and single-qubit rotation library. Based on the results of decomposition, we design two compact architectures to deterministically implement arbitrary two-qubit polarization-spatial and spatial-polarization collective unitary operations, respectively. The involved linear optical elements are reduced from 25 to 20 and 21 to 20, respectively. Moreover, the parameterized quantum computation can be flexibly manipulated by wave plates and phase shifters. As an application, we construct the specific quantum circuits to realize two-dimensional quantum walk and quantum Fourier transformation. Our schemes are simple and feasible with the current technology.
