论文标题
通用奇特量子计算
Universal Parity Quantum Computing
论文作者
论文摘要
我们提出了一个通用门集，用于基于平等编码的位纤维误差，具有全能连接性和固有鲁棒性的量子计算。我们表明，逻辑受控的相位门和$ r_z $旋转可以通过单量操作的平等编码实现。连同逻辑$ r_x $旋转，通过最近的邻居控制门和$ r_x $旋转实现，这些形成了通用门集。由于受控相位门只需要单量旋转，因此所提出的方案具有多种基石量子算法的优点，例如量子傅立叶变换。我们提出了一种方法，可以通过部分在线编码和解码之间在不同的编码变体之间进行切换。
We propose a universal gate set for quantum computing with all-to-all connectivity and intrinsic robustness to bit-flip errors based on parity encoding. We show that logical controlled phase gate and $R_z$ rotations can be implemented in parity encoding with single-qubit operations. Together with logical $R_x$ rotations, implemented via nearest-neighbor controlled-NOT gates and an $R_x$ rotation, these form a universal gate set. As the controlled phase gate requires only single-qubit rotations, the proposed scheme has advantages for several cornerstone quantum algorithms, e.g., the quantum Fourier transform. We present a method to switch between different encoding variants via partial on-the-fly encoding and decoding.
