Optimized tomography of continuous variable systems using excitation counting
Optimized tomography of continuous variable systems using excitation counting
复制标题
使用激励计数优化连续变量系统断层扫描
DOI：
10.1103/physreva.94.052327
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发表时间：
2016
影响因子：
2.9
通讯作者：
Liang Jiang
中科院分区：
文献类型：
--
作者：
Chao Shen;R. Heeres;P. Reinhold;Luyao Jiang;Yi;R. Schoelkopf;Liang Jiang
我们提出了一个系统的程序，以基于置换操作之前的激发计数来优化连续变量系统的量子状态层析成像协议。与基于Husimi或Wigner功能测量的常规层析成像相比，激发计数方法可以显着减少测量设置的数量。我们研究了信息的完整性和鲁棒性，并提供了涉及传感图的条件数量的重建错误的界限。我们还确定了优化此错误绑定的测量设置，并证明改进的重建鲁棒性可以导致使用给定资源的估计误差的数量级降低。此优化过程是一般的，可以合并未知状态的先前信息，以进一步简化协议。
We propose a systematic procedure to optimize quantum state tomography protocols for continuous variable systems based on excitation counting preceded by a displacement operation. Compared with conventional tomography based on Husimi or Wigner function measurement, the excitation counting approach can significantly reduce the number of measurement settings. We investigate both informational completeness and robustness, and provide a bound of reconstruction error involving the condition number of the sensing map. We also identify the measurement settings that optimize this error bound, and demonstrate that the improved reconstruction robustness can lead to an order of magnitude reduction of estimation error with given resources. This optimization procedure is general and can incorporate prior information of the unknown state to further simplify the protocol.