具有无扭曲和时间编码的晶格手术的通用量子计算
Universal quantum computing with twist-free and temporally encoded lattice surgery
摘要：
晶格手术协议允许有效地实现具有二维拓扑代码的通用门集，其中量子位被约束为局部地彼此相互作用。在这项工作中，我们首先介绍了一个解码器，能够纠正类空和类时错误在晶格手术协议。之后，我们计算逻辑故障率的晶格手术协议的偏置电路级噪声模型。然后，我们提供了一个新的协议进行无扭曲晶格手术，在那里我们避免扭曲缺陷的大部分晶格。我们的无扭曲协议消除了额外的电路元件和门调度复杂性与测量更高的重量稳定器时，使用扭曲缺陷。我们还提供了一个时间编码的晶格手术，可用于减少量子算法的运行时间和总的时空成本的协议。最后，我们提出了一种量子处理器的布局，该布局对于利用噪声偏置的矩形表面码更有效，并且与上述其他技术兼容。
英文摘要：
Lattice surgery protocols allow for the efficient implementation of universal gate sets with two-dimensional topological codes where qubits are constrained to interact with one another locally. In this work, we first introduce a decoder capable of correcting spacelike and timelike errors during lattice surgery protocols. Afterwards, we compute logical failure rates of a lattice surgery protocol for a biased circuit-level noise model. We then provide a new protocol for performing twist-free lattice surgery, where we avoid twist defects in the bulk of the lattice. Our twist-free protocol eliminates the extra circuit components and gate scheduling complexities associated with the measurement of higher weight stabilizers when using twist defects. We also provide a protocol for temporally encoded lattice surgery that can be used to reduce both runtimes and the total space-time costs of quantum algorithms. Lastly, we propose a layout for a quantum processor that is more efficient for rectangular surface codes exploiting noise bias, and which is compatible with the other techniques mentioned above.
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