We demonstrate an approach to the generation of custom entangled many-body states through reservoir engineering, using the symmetry properties of bosonic lattice systems coupled to a local squeezed reservoir [Yanay and Clerk, Phys. Rev. A 98, 043615 (2018)]. We outline an algorithm where, beginning with a desired set of squeezing correlations, one uses the symmetry to constrain the Hamiltonian and find a lattice configuration which stabilizes a pure steady state realizing these correlations. We demonstrate how to use this process to stabilize two unique pure states with nonlocal correlations that could be useful for quantum information applications. First, we show how to drive a square lattice into a product state of entangled quadruplets of sites. Second, using a bisected system, we generate a steady state where local measurements in one half of the lattice herald a pure delocalized state in the second half.

中文翻译：

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用局部压缩容器裁剪二次晶格以稳定具有非局部纠缠的通用手性态的算法

我们演示了通过使用耦合到局部压缩储层的Bosonic晶格系统的对称特性，通过储层工程生成定制的纠缠多体状态的方法[Yanay and Clerk，Phys。A版 98，043615（2018）]。我们概述了一种算法，其中从一组所需的压缩相关性开始，使用对称性约束哈密顿量，并找到稳定实现这些相关性的纯稳态的晶格配置。我们演示了如何使用此过程来稳定具有非局部相关性的两个唯一纯态，这对量子信息应用很有用。首先，我们展示如何将正方形晶格驱动为纠缠的站点四元组的乘积状态。其次，使用一等分系统，我们生成一个稳定状态，其中晶格一半的局部测量值将预示下半年的纯离域状态。