论文标题
硬件编码的网格状态在非重点超导电路中
Hardware-Encoding Grid States in a Non-Reciprocal Superconducting Circuit
论文作者
论文摘要
我们提出了一个由非重新界设备和约瑟夫森连接处组成的电路设计，其地面空间是双重变性的，地面状态是Gottesman-Kitaev-Preskill（GKP）代码的近似代码。我们通过锻炼该系统与二维平面中的单个电子的问题，在强磁场的效果和周期性电位的效果下，确定电路的低能动力学。我们发现，该电路自然保护了超导电路中的常见噪声通道，例如电荷和通量噪声，这意味着它可用于被动量子误差校正。我们还提出了实验实现的现实设计参数，并描述了执行逻辑一分门和两倍的门，状态准备和读数的可能协议。
We present a circuit design composed of a non-reciprocal device and Josephson junctions whose ground space is doubly degenerate and the ground states are approximate codewords of the Gottesman-Kitaev-Preskill (GKP) code. We determine the low-energy dynamics of the circuit by working out the equivalence of this system to the problem of a single electron confined in a two-dimensional plane and under the effect of strong magnetic field and of a periodic potential. We find that the circuit is naturally protected against the common noise channels in superconducting circuits, such as charge and flux noise, implying that it can be used for passive quantum error correction. We also propose realistic design parameters for an experimental realization and we describe possible protocols to perform logical one- and two-qubit gates, state preparation and readout.
