Simplified quantum error detection and correction for superconducting qubits

Simplified quantum error detection and correction for superconducting qubits
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DOI:
10.1103/physreva.86.012333
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发表时间:
2012-05
期刊:
影响因子:
2.9
通讯作者:
Kyle Keane;A. Korotkov
Kyle Keane;A. Korotkov
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Kyle Keane;A. Korotkov

文献摘要

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我们分析了与当前超导量子比特实验相关的简单量子错误检测和量子错误校正协议。我们证明了对于具有能量松弛的量子比特,重复的n -量子比特码不能用于量子纠错,但可以用于量子错误检测。在后一种情况下,只使用两个量子位进行编码就足够了。在分析中,我们展示了一种有用的技术,将量子比特的能量松弛分解为“松弛”和“无松弛”两种情况。此外,我们提出并数值分析了几种用于量子错误检测/校正的双量子比特算法,这些算法可以在当前的相位量子比特技术水平上很容易实现。
We analyze simple quantum error detection and quantum error correction protocols relevant to current experiments with superconducting qubits. We show that for qubits with energy relaxation the repetitive N-qubit codes cannot be used for quantum error correction, but can be used for quantum error detection. In the latter case it is sufficient to use only two qubits for the encoding. In the analysis we demonstrate a useful technique of unraveling the qubit energy relaxation into "relaxation" and "no relaxation" scenarios. Also, we propose and numerically analyze several two-qubit algorithms for quantum error detection/correction, which can be readily realized at the present-day level of the phase qubit technology.