论文标题
魔术状态蒸馏与三元戈莱代码
Magic State Distillation with the Ternary Golay Code
论文作者
论文摘要
三元Golay代码 - 发现的第一个也是最美丽的经典错误校正代码之一 - 自然会产生11 Qutrit量子错误校正代码。我们将此代码应用于魔术状态蒸馏，这是一种耐故障量子计算的领先方法。我们发现，11 Qutrit Golay代码可以提炼“最魔术” Qutrit状态 - Qutrit傅立叶变换的特征态，称为奇怪的状态 - 具有立方误差和非常高的阈值。它还提炼出“第二魔术” QUTRIT状态，即诺雷尔状态，具有二次误差抑制，并且具有同样高的阈值到去极化噪声。
The ternary Golay code -- one of the first and most beautiful classical error-correcting codes discovered -- naturally gives rise to an 11-qutrit quantum error correcting code. We apply this code to magic state distillation, a leading approach to fault-tolerant quantum computing. We find that the 11-qutrit Golay code can distill the "most magic" qutrit state -- an eigenstate of the qutrit Fourier transform known as the strange state -- with cubic error-suppression and a remarkably high threshold. It also distills the "second-most magic" qutrit state, the Norell state, with quadratic error-suppression and an equally high threshold to depolarizing noise.
