Optimal error tracking via quantum coding and continuous syndrome measurement

Optimal error tracking via quantum coding and continuous syndrome measurement
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通过量子编码和连续综合症测量进行最佳错误跟踪

DOI:
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发表时间:
2005
期刊:
影响因子:
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通讯作者:
H. Mabuchi
H. Mabuchi
中科院分区:
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文献类型:
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作者:
R. Handel;H. Mabuchi

文献摘要

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我们回顾了由Ahn,Doherty和Landahl[Phys.版本A 65,042301(2002年)],并构造用于跟踪累积误差的最佳滤波器。这些滤波器被证明是混合控制理论中的典范形式;我们对比特翻转和五量子比特码的性能进行了数值评估。我们证明了从测量记录中可以计算出编码保真度的随机衰减的一个严格的上界。我们的结果为用有限强度测量抑制消相干提供了一个有价值的案例研究。
We revisit a scenario of continuous quantum error detection proposed by Ahn, Doherty and Landahl [Phys. Rev. A 65, 042301 (2002)] and construct optimal filters for tracking accumulative errors. These filters turn out to be of a canonical form from hybrid control theory; we numerically assess their performance for the bit-flip and five-qubit codes. We show that a tight upper bound on the stochastic decay of encoded fidelity can be computed from the measurement records. Our results provide an informative case study in decoherence suppression with finite-strength measurement.