The standard collisional model paradigm consists of a system that interacts sequentially with identically prepared ancillas. After infinitely many collisions, and under appropriate conditions, the system may converge to the same state as the ancillas. This process, known as homogenization, is independent of the ancilla initial state, being a property only of the underlying dynamics. In this paper we extend this idea to locally identical, but globally correlated, ancillas, and show that correlations break homogenization. This is done numerically using a minimal qubit model, and analytically using an exactly soluble Gaussian model. In both cases, we use Hamiltonian graph states with cyclic graphs as the prototypical method for building scalable many-body entangled ancillary states.

中文翻译：

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打破同质化的相关性

标准碰撞模型范式由一个系统组成，该系统与相同准备的辅助物顺序交互。在无限次碰撞之后，在适当的条件下，系统可能会收敛到与辅助物相同的状态。这个过程，被称为同质化，独立于辅助初始状态，只是潜在动力学的一个属性。在本文中，我们将这个想法扩展到局部相同但全局相关的辅助对象，并表明相关性打破了同质化。这是使用最小量子位模型在数值上完成的，并使用完全可解的高斯模型进行分析。在这两种情况下，我们都使用带有循环图的哈密顿图状态作为构建可扩展多体纠缠辅助状态的原型方法。