论文标题
错误率和重复猫码头的资源开销
Error Rates and Resource Overheads of Repetition Cat Qubits
论文作者
论文摘要
我们估计并分析重复率cat量子方法的错误率和资源开销，以实现通用和容忍断层量子计算。由两光子耗散稳定的猫量比表现出极度偏见的噪声，其中平均光子数量将位叶片错误率指数抑制。在最近的一项工作中，我们建议可以使用1D重复代码来抑制其余的相流误差通道。确实，仅在猫量子上使用偏见的门，可以在重复猫量子的级别上构建一组通用的耐断层逻辑门。在本文中，我们使用电路级误差模型对实现受保护的逻辑门的所有电路进行了蒙特卡洛模拟。此外，我们分析了两种不同的方法，以在重复猫码位上实现容忍性的Toffoli门。这些数值模拟表明，通过合理的资源开销以及近期电路QED实验范围内的参数可以实现非常低的逻辑错误率。
We estimate and analyze the error rates and the resource overheads of the repetition cat qubit approach to universal and fault-tolerant quantum computation. The cat qubits stabilized by two-photon dissipation exhibit an extremely biased noise where the bit-flip error rate is exponentially suppressed with the mean number of photons. In a recent work, we suggested that the remaining phase-flip error channel could be suppressed using a 1D repetition code. Indeed, using only bias-preserving gates on the cat-qubits, it is possible to build a universal set of fault-tolerant logical gates at the level of the repetition cat qubit. In this paper, we perform Monte-Carlo simulations of all the circuits implementing the protected logical gates, using a circuit-level error model. Furthermore, we analyze two different approaches to implement a fault-tolerant Toffoli gate on repetition cat qubits. These numerical simulations indicate that very low logical error rates could be achieved with a reasonable resource overhead, and with parameters that are within the reach of near-term circuit QED experiments.
