论文标题
多路复用高维量子芦苇 - 固体代码的资源降低
Resource Reduction in Multiplexed High-Dimensional Quantum Reed-Solomon Codes
论文作者
论文摘要
随着我们将设备共同连接,量子通信技术将在不久的将来在量子信息处理中发挥重要作用。但是,由于损失和门错误,它们的实施仍然是一项具有挑战性的任务。量子误差校正代码是解决此问题的一项重要技术。特别是,已知量子芦苇 - 固体代码对于量子通信任务非常有效。但是,需要高度的物理资源使得在实践中难以使用这种代码。已证明一种称为量子多路复用的技术最近使用多个光子的自由度来降低资源。在这项工作中,我们提出了一种使用这种量子多路复用技术使用较少的$ \ rm {cx} $门分解多控制门的方法。我们表明,我们的方法可以显着减少量子芦苇固体代码的编码电路中所需的$ \ rm {cx} $门的所需数量。我们的方法还适用于许多其他量子误差校正代码和量子算法,包括Grovers和Quantum Walks。
Quantum communication technologies will play an important role in quantum information processing in the near future as we network devices together. However, their implementation is still a challenging task due to both loss and gate errors. Quantum error correction codes are one important technique to address this issue. In particular, the Quantum Reed-Solomon codes are known to be quite efficient for quantum communication tasks. The high degree of physical resources required, however, makes such a code difficult to use in practice. A recent technique called quantum multiplexing has been shown to reduce resources by using multiple degrees of freedom of a photon. In this work, we propose a method to decompose multi-controlled gates using fewer $\rm{CX}$ gates via this quantum multiplexing technique. We show that our method can significantly reduce the required number of $\rm{CX}$ gates needed in the encoding circuits for the quantum Reed-Solomon code. Our approach is also applicable to many other quantum error correction codes and quantum algorithms, including Grovers and quantum walks.