论文标题
用于任意非交易运算符的准分发
Quasi-distributions for arbitrary non-commuting operators
论文作者
论文摘要
我们提出了一种新的方法，用于获得两个任意运算符的量子准验证分布，$ p（α，β）$，$ \ mathbf {a} $和$ \ mathbf {b} $，其中$α$和$α$和$β$是c-variobles。我们表明，任意运算符的量子期望值始终可以表示为$α$和$β$的相位空间积分，其中集成是两个术语的产物：一个仅取决于量子状态，而另一个仅取决于操作员。在这种表述中，准概率和对应性规则的概念自然而然地与准分布的推导同时出现，因此获得了任意运算符的通讯规则的概念的概括。
We present a new approach for obtaining quantum quasi-probability distributions, $P(α,β)$, for two arbitrary operators, $\mathbf{a}$ and $\mathbf{b}$, where $α$ and $β$ are the corresponding c-variables. We show that the quantum expectation value of an arbitrary operator can always be expressed as a phase space integral over $α$ and $β$, where the integrand is a product of two terms: One dependent only on the quantum state, and the other only on the operator. In this formulation, the concepts of quasi-probability and correspondence rule arise naturally in that simultaneously with the derivation of the quasi-distribution, one obtains the generalization of the concept of correspondence rule for arbitrary operators.
