论文标题
量子通道资源蒸馏的基本限制
Fundamental limitations on distillation of quantum channel resources
论文作者
论文摘要
量子通道是量子系统动力学的基础，但是在许多实际设置中，渠道本身需要处理。我们建立了对量子状态和通道的处理的普遍限制，该量子状态和通道的形式以无需定理的形式和定量界限，以在最通用的转换协议下操纵一般量子通道资源。我们专注于蒸馏任务类别（可以理解为将嘈杂渠道净化为单一渠道的净化，或者是从渠道中提取基于国家的资源的 - 我们对任何蒸馏协议的间接开销中的误差和全面的下限产生的错误产生了基本限制。在渐近环境中，我们的结果对蒸馏速率产生了广泛适用的界限。我们通过应用于耐故障量子计算的应用来证明我们的结果，在该计算中，我们获得了魔术状态蒸馏的开销成本以及量子通信的最新下限，并在其中恢复了量子通道容量的许多强相反界限。
Quantum channels underlie the dynamics of quantum systems, but in many practical settings it is the channels themselves that require processing. We establish universal limitations on the processing of both quantum states and channels, expressed in the form of no-go theorems and quantitative bounds for the manipulation of general quantum channel resources under the most general transformation protocols. Focusing on the class of distillation tasks -- which can be understood either as the purification of noisy channels into unitary ones, or the extraction of state-based resources from channels -- we develop fundamental restrictions on the error incurred in such transformations and comprehensive lower bounds for the overhead of any distillation protocol. In the asymptotic setting, our results yield broadly applicable bounds for rates of distillation. We demonstrate our results through applications to fault-tolerant quantum computation, where we obtain state-of-the-art lower bounds for the overhead cost of magic state distillation, as well as to quantum communication, where we recover a number of strong converse bounds for quantum channel capacity.
