In this article we present a full description of the quantum Kerr Ising model---a linear optical network of parametrically pumped Kerr non-linearities. We consider the non-dissapative Kerr Ising model and, using variational techniques, show that the energy spectrum is primarily determined by the adjacency matrix in the Ising model and exhibits highly non-classical cat like eigenstates. We then introduce dissipation to give a quantum mechanical treatment of the measurement process based on homodyne detection via the conditional stochastic Schrodinger equation. Finally we identify a quantum advantage in comparison to the classical analogue for the example of two anti-ferromagnetic cavities.

中文翻译：

---

Kerr Ising 模型中的量子相关性

在本文中，我们全面介绍了量子克尔伊辛模型——参数泵浦克尔非线性的线性光网络。我们考虑非耗散 Kerr Ising 模型，并使用变分技术表明，能谱主要由 Ising 模型中的邻接矩阵决定，并表现出高度非经典的猫样本征态。然后，我们引入耗散以通过条件随机薛定谔方程基于零差检测对测量过程进行量子力学处理。最后，我们确定了与两个反铁磁腔示例的经典类似物相比的量子优势。