论文标题
Qutrit和Ququint魔术状态
Qutrit and Ququint Magic States
论文作者
论文摘要
克利福德操作员的非稳定征本素质是魔术状态蒸馏例程的终点的天然候选者。我们为Qutrits和Ququints提供了所有不等式的非稳定者Clifford特征状态的明确的遗嘱。对于Qutrits，有四个非脱位本征态和两个堕落本征属的家族。对于静态，有八个非分类本征态和三个堕落本征态家族。在这些状态中，所有Clifford symbletic旋转的同时特征向量被称为Qutrit奇怪状态，既是最神奇的Qutrit状态，也是最对称的Qutrit状态。我们表明，对于任何奇数prime dimension $ d> 3 $，qutrit奇怪状态（即没有所有符号旋转的同时特征向量）不存在类似物。
Non-stabilizer eigenstates of Clifford operators are natural candidates for endpoints of magic state distillation routines. We provide an explicit bestiary of all inequivalent non-stabilizer Clifford eigenstates for qutrits and ququints. For qutrits, there are four non-degenerate eigenstates, and two families of degenerate eigenstates. For ququints, there are eight non-degenerate eigenstates, and three families of degenerate eigenstates. Of these states, a simultaneous eigenvector of all Clifford symplectic rotations known as the qutrit strange state is distinguished as both the most magic qutrit state and the most symmetric qutrit state. We show that no analogue of the qutrit strange state (i.e., no simultaneous eigenvector of all symplectic rotations) exists for qudits of any odd prime dimension $d>3$.
