Qutrit Magic State Distillation Tight in Some Directions.
Qutrit Magic State Distillation Tight in Some Directions.
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Qutrit 魔法状态蒸馏在某些方向上紧密。
DOI：
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发表时间：
2015
影响因子：
8.6
通讯作者：
M. Howard
中科院分区：
文献类型：
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作者：
Hillary Dawkins;M. Howard
幻态蒸馏是实现通用容错量子计算的主要方法中的一个关键组成部分，现有的协议适用于量子比特和更高维的系统。早期的工作集中在确定量子比特协议的可分离状态的区域;然而，对于d> 2的哪些状态可以被提取以及可分离区域是什么，我们知之甚少。在这里，我们专注于d = 3，并提出了新的四qutrit蒸馏方案，改进了已知的可分离区域，并实现蒸馏紧到边界的不可分离状态的某些类的状态。由于最近的结果，这意味着有一个家庭的量子态，使普遍性，当且仅当他们表现出相对于稳定剂测量的上下文。我们还确定了一个新的例程，其不动点是具有最大和负性的幻态;即，它在特定意义上是最大不稳定剂。
Magic state distillation is a crucial component in the leading approaches to implementing universal fault-tolerant quantum computation, with existing protocols for both qubit and higher dimensional systems. Early work focused on determining the region of distillable states for qubit protocols; yet comparatively little is known about which states can be distilled and with what distillable region for d>2. Here we focus on d=3 and present new four-qutrit distillation schemes that improve upon the known distillable region, and achieve distillation tight to the boundary of undistillable states for some classes of state. As a consequence of recent results, this implies that there is a family of quantum states that enable universality if and only if they exhibit contextuality with respect to stabilizer measurements. We also identify a new routine whose fixed point is a magic state with maximal sum negativity; i.e., it is maximally nonstablizer in a specific sense.