论文标题
平行综合征提取和共享标志Qubits用于calderbank-s-s-s-s-s-Steane距离距离三
Parallel syndrome extraction with shared flag qubits for Calderbank-Shor-Steane codes of distance three
论文作者
论文摘要
为了执行实现易于故障的量子计算，可以使用标记的综合征提取，而较少的Ancilla Qubits。但是，如果一次测量一个稳定器，则具有长回路深度。以前，Reichardt表明，对于某些小量子代码，最多可以用一个共享的标志量子置量来测量多个稳定器。在本文中，我们提出了一个通用calderbank-s-s-s-steane距离距离三个的过程，以便可以与一个共享的标志量子平行地平行地测量多个$ z $ stabilizer（$ x $ stabilizers）。我们模拟各种代码方案的内存和计算伪阈值。特别是，我们基于Shor的九个Qubit代码的平行方案的性能比文献中已知的七个和九个问题方案更好。
To perform achieve fault-tolerant quantum computation, one can use flagged syndrome extraction with fewer ancilla qubits. However, it suffers from long circuit depth if one stabilizer is measured at a time. Previously, Reichardt showed that it is possible to measure multiple stabilizers with at most one shared flag qubit for certain small quantum codes. In this paper, we propose a procedure for general Calderbank-Shor-Steane codes of distance three so that multiple $Z$-stabilizers ($X$-stabilizers) can be fault-tolerantly measured in parallel with one shared flag qubit. We simulate the memory and computation pseudo-thresholds for various code schemes. In particular, our parallel scheme based on Shor's nine-qubit code performs better than known seven- and nine-qubit schemes in the literature.
