论文标题
关于量子复杂性
On Quantum Complexity
论文作者
论文摘要
在能量本质上，给定运算符的基质元素的ETH ANSATZ导致混乱系统的热化概念。在这种情况下，要在给定模型中找到一定量的数量 - 一个人可能会在能量本质上对其矩阵元素施加特定条件，以便相应的数量在后期显示线性生长。条件与可能的极结构有关，相应的矩阵元素可能具有。基于对复杂性的一般期望，人们可能希望将此数量视为量子复杂性的可能候选者。但是，我们注意到，对于我们在本文中考虑的明确示例，有很多数量表现出相似的行为。
The ETH ansatz for matrix elements of a given operator in the energy eigenstate basis results in a notion of thermalization for a chaotic system. In this context for a certain quantity - to be found for a given model - one may impose a particular condition on its matrix elements in the energy eigenstate basis so that the corresponding quantity exhibit linear growth at late times. The condition is to do with a possible pole structure the corresponding matrix elements may have. Based on the general expectation of complexity one may want to think of this quantity as a possible candidate for the quantum complexity. We note, however, that for the explicit examples we have considered in this paper, there are infinitely many quantities exhibiting similar behavior.
