论文标题
XP稳定器形式主义：保利稳定器形式的概括，以任意阶段
The XP Stabiliser Formalism: a Generalisation of the Pauli Stabiliser Formalism with Arbitrary Phases
论文作者
论文摘要
我们建议对Pauli稳定器形式主义进行扩展，其中包括$2π/n $旋转的$ z $轴，用于某些整数$ n $。由此产生的广义稳定器形式主义（表示XP稳定器形式主义）允许代表更广泛的状态和代码。我们描述了形式主义中出现的状态，并证明了XP稳定剂状态和“加权超图状态”之间的等效性 - 超图和加权图状态的概括。给定一组任意的XP操作员，我们提出了用于确定XP代码的代码和逻辑运算符的算法。最后，我们考虑是否可以在XP代码上进行XP运算符的测量。
We propose an extension to the Pauli stabiliser formalism that includes fractional $2π/N$ rotations around the $Z$ axis for some integer $N$. The resulting generalised stabiliser formalism - denoted the XP stabiliser formalism - allows for a wider range of states and codespaces to be represented. We describe the states which arise in the formalism, and demonstrate an equivalence between XP stabiliser states and 'weighted hypergraph states' - a generalisation of both hypergraph and weighted graph states. Given an arbitrary set of XP operators, we present algorithms for determining the codespace and logical operators for an XP code. Finally, we consider whether measurements of XP operators on XP codes can be classically simulated.
