论文标题
来自非亚伯几何阶段的几何线性光学元件
Geometrically robust linear optics from non-Abelian geometric phases
论文作者
论文摘要
我们为从玻感系统产生的量子载体构建了一个统一的操作员框架。对于一个在创建和歼灭操作员中是双线性的系统，我们发现仅通过一组选定的正统模式来确定一个更强版本的绝热定理。与几何阶段的标准形式主义相比，该光子数字独立描述提供了更深入的见解和计算优势。特别是，可以绘制量子固体与线性光网络之间的强烈类比。这种关系提供了一个明确的配方，如何在绝热或非绝热几何阶段对任何线性光学量子计算进行几何稳定。
We construct a unified operator framework for quantum holonomies generated from bosonic systems. For a system whose Hamiltonian is bilinear in the creation and annihilation operators, we find a holonomy group determined only by a set of selected orthonormal modes obeying a stronger version of the adiabatic theorem. This photon-number independent description offers deeper insight as well as a computational advantage when compared to the standard formalism on geometric phases. In particular, a strong analogy between quantum holonomies and linear optical networks can be drawn. This relation provides an explicit recipe how any linear optical quantum computation can be made geometrically robust in terms of adiabatic or nonadiabatic geometric phases.
