论文标题
自由标量场理论纯化的伪复杂性
Pseudo complexity of purification for free scalar field theories
论文作者
论文摘要
我们计算具有任意动力学指数的自由标量场理论的纯化纯化的伪复杂性。我们将复杂性的行为与所研究的理论的各种参数进行了比较，并将其与两种状态的减少密度矩阵的复杂性进行比较，$ |ψ_1\ rangle $和$ |ψ_2\ rangle $构成了过渡矩阵。我们首先通过将带有许多晶格点的晶格系统中的晶格自由度减少到少量（$ 1 $和$ 2 $）的少量（$ 1 $和2美元）来找到过渡矩阵，然后通过将自由度（分别为$ 2 $和4 $）增加一倍（分别为$ 2 $和4 $），以净化它。这是迈向自然扩展的主要步骤，即与与选择后相关的研究相关的纯化纯度复杂性的概念。
We compute the pseudo complexity of purification corresponding to the reduced transition matrices for free scalar field theories with an arbitrary dynamical exponent. We plot the behaviour of complexity with various parameters of the theory under study and compare it with the complexity of purification of the reduced density matrices of the two states $|ψ_1\rangle$ and $|ψ_2\rangle$ that constitute the transition matrix. We first find the transition matrix by reducing to a small number ($1$ and $2$) of degrees of freedom in lattice from a lattice system with many lattice points and then purify it by doubling the degrees of freedom ($2$ and $4$ respectively) for this reduced system. This is a primary step towards the natural extension to the idea of the complexity of purification for reduced density matrices relevant for the studies related to post-selection.
