论文标题
无限尺寸可编程量子处理器
Infinite-Dimensional Programmable Quantum Processors
论文作者
论文摘要
通用可编程量子处理器使用程序量子状态将任意量子通道应用于输入状态。我们将有限维的可编程量子处理器的概念概括为无限尺寸，假设对目标量子通道的输入和输出有能量约束。通过证明对有限维处理器的减少和从有限尺寸的处理器中，我们可以在近似实施能量有限的量子通道所需的程序维度上获得上限和下限。特别是，我们考虑了高斯渠道的实施。由于它们的实际相关性，我们研究了量规高斯渠道的资源要求。此外，我们在实施所有高斯单一渠道的处理器的程序维度上给出了上限和下限。这些下限依赖于直接的信息理论论点，基于从有限的统一性到无限维度的一般复制引理的概括。
A universal programmable quantum processor uses program quantum states to apply an arbitrary quantum channel to an input state. We generalize the concept of a finite-dimensional programmable quantum processor to infinite dimension assuming an energy constraint on the input and output of the target quantum channels. By proving reductions to and from finite-dimensional processors, we obtain upper and lower bounds on the program dimension required to approximately implement energy-limited quantum channels. In particular, we consider the implementation of Gaussian channels. Due to their practical relevance, we investigate the resource requirements for gauge-covariant Gaussian channels. Additionally, we give upper and lower bounds on the program dimension of a processor implementing all Gaussian unitary channels. These lower bounds rely on a direct information-theoretic argument, based on the generalization from finite to infinite dimension of a certain replication lemma for unitaries.
