论文标题
部分可观测时空混沌系统的无模型预测
Emergent Quantum Mechanics at the Boundary of a Local Classical Lattice Model
论文作者
论文摘要
我们制定了一个概念上的新模型，其中量子力学从古典力学中出现。鉴于当地的汉密尔顿$ h $在$ n $ Qubits上作用，我们定义了一个本地古典模型，该模型具有附加的空间维度，其边界动态大约是（但对于任意精度），由Schrödinger's方程和$ H $描述。大块由经典位刻板组成，这些碎屑通过随机矩阵的电路向边界传播。到达边界的位受到概率分布的控制，其偏离均匀分布的偏差可以解释为量子机械波函数。获得铃的非局部性是因为信息可以比光的边界速度快得多。我们通过分析估计该模型与量子力学有多大偏差，并使用计算机模拟验证了这些估计。
We formulate a conceptually new model in which quantum mechanics emerges from classical mechanics. Given a local Hamiltonian $H$ acting on $n$ qubits, we define a local classical model with an additional spatial dimension whose boundary dynamics is approximately -- but to arbitrary precision -- described by Schrödinger's equation and $H$. The bulk consists of a lattice of classical bits that propagate towards the boundary through a circuit of stochastic matrices. The bits reaching the boundary are governed by a probability distribution whose deviation from the uniform distribution can be interpreted as the quantum-mechanical wavefunction. Bell nonlocality is achieved because information can move through the bulk much faster than the boundary speed of light. We analytically estimate how much the model deviates from quantum mechanics, and we validate these estimates using computer simulations.
