论文标题
玻色子采样的全州矢量中的纠缠
Entanglement in the full state vector of boson sampling
论文作者
论文摘要
玻色子采样的完整状态矢量是通过通过M模式的光束拆分子传递S单光子来生成的。最初的Fock状态以综合性相干状态表示，并且可以确切的统一进化应用。由于M中有良好的多项式缩放，我们可以研究中等粒子和巨大模式数字的肾脏纠缠熵。我们发现（几乎）Renyi索引独立的对称页面曲线，在均等分区处最大熵。此外，在无碰撞子空间案例中，最大熵作为模式索引的函数随M的函数饱和。熵的渐近值随着S.的线性增加，我们表明，纠缠的堆积导致子系统大小等于非对称纠缠曲线的S尖尖。在整个系统上分布在模式人群之前，早期就达到了最大纠缠。
The full state vector of boson sampling is generated by passing S single photons through beam splitters of M modes. The initial Fock state is expressed withgeneralized coherent states, and an exact application of the unitary evolution becomes possible. Due to the favorable polynomial scaling in M , we can investigate Renyi entanglement entropies for moderate particle and huge mode numbers. We find (almost) Renyi index independent symmetric Page curves with maximum entropy at equal partition. Furthermore, the maximum entropy as a function of mode index saturates as a function of M in the collision-free subspace case. The asymptotic value of the entropy increases linearly with S. Furthermore, we show that the build-up of the entanglement leads to a cusp at subsystem size equal to S in the asymmetric entanglement curve. The maximum entanglement is reached surprisingly early before the mode population is distributed over the whole system.
