Recent conjectures on the complexity of black holes suggest that their evolution manifests in the structural properties of Einstein-Rosen bridges, like the length and volume. The complexity of black holes relates to the computational complexity of their dual, namely holographic, quantum systems identified via the Gauge/Gravity duality framework. Interestingly, the latter allows us to study the evolution of a black hole as the transformation of a qubit collection performed through a quantum circuit. In this work, we focus on the complexity of Einstein-Rosen bridges. More in detail, we start with a preliminary discussion about their computational properties, and then we aim to assess whether an Ising-like model could represent their holographic dual. In this regard, we recall that the Ising model captures essential aspects of complex phenomena such as phase transitions and, in general, is deeply related to information processing systems. To perform this assessment, which relies on a heuristic model, we attempt to describe the dynamics of information relating to an Einstein-Rosen bridge encoded in a holographic screen in terms of dynamics occurring in a spin lattice at low temperatures. We conclude by discussing our observations and related implications.

最近关于黑洞复杂性的猜想表明，它们的演化表现在爱因斯坦-罗森桥的结构特性上，比如长度和体积。黑洞的复杂性与其对偶量子系统（即全息量子系统）的计算复杂性有关，该系统通过 Gauge/Gravity 对偶性框架确定。有趣的是，后者使我们能够研究黑洞的演化，即通过量子电路执行的量子比特集合的转换。在这项工作中，我们专注于 Einstein-Rosen 桥的复杂性。更详细地说，我们从关于它们的计算特性的初步讨论开始，然后我们的目标是评估类似 Ising 的模型是否可以表示它们的全息对偶。在这方面，我们记得 Ising 模型捕获了复杂现象的基本方面，例如相变，并且通常与信息处理系统密切相关。为了执行这项依赖于启发式模型的评估，我们试图根据低温下自旋晶格中发生的动力学来描述与全息屏幕中编码的爱因斯坦-罗森桥相关的信息动力学。最后，我们讨论了我们的观察结果和相关影响。