论文标题
Qudits和高维量子计算
Qudits and high-dimensional quantum computing
论文作者
论文摘要
Qudit是传统2级量子的多级计算单元替代品。与Qubit相比，Qudit提供了更大的状态空间来存储和过程信息，因此可以降低电路复杂性，简化实验设置以及算法效率的增强。这篇评论提供了基于Qudit的量子计算的概述，涵盖了从电路构建，算法设计到实验方法的各种主题。我们首先讨论Qudit门通用性和各种Qudit门，包括Pi/8 Gate，交换门和多级控制的门。然后，我们介绍了几种代表性量子算法的QUDIT版本，包括Deutsch-Jozsa算法，量子傅里叶变换和相位估计算法。最后，我们讨论了用于QUDIT计算的各种物理实现，例如光子平台，铁陷阱和核磁共振。
Qudit is a multi-level computational unit alternative to the conventional 2-level qubit. Compared to qubit, qudit provides a larger state space to store and process information, and thus can provide reduction of the circuit complexity, simplification of the experimental setup and enhancement of the algorithm efficiency. This review provides an overview of qudit-based quantum computing covering a variety of topics ranging from circuit building, algorithm design, to experimental methods. We first discuss the qudit gate universality and a variety of qudit gates including the pi/8 gate, the SWAP gate, and the multi-level-controlled gate. We then present the qudit version of several representative quantum algorithms including the Deutsch-Jozsa algorithm, the quantum Fourier transform, and the phase estimation algorithm. Finally we discuss various physical realizations for qudit computation such as the photonic platform, iron trap, and nuclear magnetic resonance.
