论文标题
经典的3旋链如何扰动会导致量子特征
How perturbing a classical 3-spin chain can lead to quantum features
论文作者
论文摘要
在本文中，我们将在Gerard'T Hooft的蜂窝自动机解释的前提下工作，根据该解释，粒子按照蜂窝自动机（CA）的规则进化，该规则是一个数学模型，该数学模型由离散空间和时间中确定性定律进化的离散单元组成。根据定义，细胞自动机的状态是经典的，因此是确定性的，并且不形成叠加。 由于不可能知道如何以最小的微观量表来证明如何证明基本的经典确定性结构和动态，因此我们在本文中所追求的内容除了总结细胞自动机解释的概念外，还表明量子现象（特别是在确定性模型中）在确定性的模型中可能出现，因为有限限制了限制性的精确性。为了做到这一点，我们遵循Elze最近的一篇文章的路径，考虑了ISING旋转的三胞胎及其在CA上下文中的动态，可以使用Pauli矩阵和量子力学运算符正式化。因此，我们将观察系统将如何从伊辛旋转的三胞胎转移到三胞胎转移到三胞胎，这是由于对哈密顿量和动态运算符应用了一些扰动后的叠加而引起的。
In this thesis we will work under the premises of the Cellular Automata Interpretation of QM, by Gerard 't Hooft, according to whom particles evolve following the rules of Cellular Automata (CA), a mathematical model consisting of discrete units that evolve following deterministic laws in discrete space and time. The states of a Cellular Automaton are, by definition, classical and thus deterministic and do not form superpositions. Since it is not possible to know how to demonstrate the underlying classical deterministic structure and dynamics at the smallest microscopic scales at present, what we pursue in this thesis, besides summarizing the concept of the Cellular Automaton Interpretation, is to show that quantum phenomena, in particular superposition states, can arise in a deterministic model because of the limited precision of measurements. In order to do that, we follow the path of a recent article by Elze, considering a triplet of Ising spins and their dynamics in a CA context, which is possible to formalize using Pauli matrices and quantum mechanics operators. We will thus observe how the system will shift from a triplet of Ising spins to a triplet of qubits due to the arising of superposition after applying some perturbations on the Hamiltonian and the dynamics operators.
