论文标题
开放量子系统的破碎，纠缠负效和电路复杂性
Decoherence, Entanglement Negativity and Circuit Complexity for Open Quantum System
论文作者
论文摘要
在本文中，我们比较了两个开放量子系统的复杂性，线性熵和纠缠负性的饱和时间尺度。我们的第一个模型是耦合的谐波振荡器，我们将其中一个振荡器视为浴缸。第二种是Caldeira Leggett模型，我们将其视为一维自由标量场作为浴室。使用这些开放的量子系统，我们发现，对于完全混合的状态，纯化的复杂性和操作员状态映射的复杂性始终饱和。更明确地，两种复杂性的饱和时间尺度都小于线性熵的饱和时间尺度。最重要的是，我们发现线性熵和纠缠负性的饱和时间尺度对于Caldeira Leggett模型的顺序相同。
In this paper, we compare the saturation time scales for complexity, linear entropy and entanglement negativity for two open quantum systems. Our first model is a coupled harmonic oscillator, where we treat one of the oscillators as the bath. The second one is a type of Caldeira Leggett model, where we consider a one-dimensional free scalar field as the bath. Using these open quantum systems, we discovered that both the complexity of purification and the complexity from operator state mapping is always saturated for a completely mixed state. More explicitly, the saturation time scale for both types of complexity is smaller than the saturation time scale for linear entropy. On top of this, we found that the saturation time scale for linear entropy and entanglement negativity is of the same order for the Caldeira Leggett model.
