Statistically efficient tomography of low rank states with incomplete measurements
Statistically efficient tomography of low rank states with incomplete measurements
复制标题
具有不完整测量的低阶状态的统计有效断层扫描
DOI：
10.1088/1367-2630/18/4/043018
复制
发表时间：
2016
影响因子：
3.3
通讯作者：
Acharya A
中科院分区：
文献类型：
--
作者：
Acharya A
构建物理上相关的低维态模型和设计合适的测量方法是处理大维系统量子态层析成像的关键问题。我们考虑了在多离子层析成像设置中估计低秩态的统计问题，并研究了与标准离子层析成像设置相比，随着测量设置数量的减少，估计误差的表现。我们提供了广泛的模拟结果，表明误差对于给定秩的状态选择，设置的随机选择是鲁棒的，并且设置的数量可以显着减少，而误差的增加可以忽略不计。我们提出了一个基于费雪信息矩阵的集中不等式的论点来解释这些发现。在更一般的随机基测量设置中，我们使用这个论证来表明，对于某些秩r状态，它足以进行测量
The construction of physically relevant low dimensional state models, and the design of appropriate measurements are key issues in tackling quantum state tomography for large dimensional systems. We consider the statistical problem of estimating low rank states in the set-up of multiple ions tomography, and investigate how the estimation error behaves with a reduction in the number of measurement settings, compared with the standard ion tomography setup. We present extensive simulation results showing that the error is robust with respect to the choice of states of a given rank, the random selection of settings, and that the number of settings can be significantly reduced with only a negligible increase in error. We present an argument to explain these findings based on a concentration inequality for the Fisher information matrix. In the more general setup of random basis measurements we use this argument to show that for certain rank r states it suffices to measure in
影响因子：
2.9
作者：
Douglas Soares Gonçalves;C. Lavor;M. A. Gomes-Ruggiero;André T. Cesário;R. Vianna;T. O. Maciel
通讯作者：
Douglas Soares Gonçalves;C. Lavor;M. A. Gomes-Ruggiero;André T. Cesário;R. Vianna;T. O. Maciel
量子态层析成像中最大似然估计的局部解
影响因子：
1
作者：
D. Gonçalves;M. A. Gomes;C. Lavor;O. J. Farias;P. S. Ribeiro
通讯作者：
P. S. Ribeiro