几种量子态估计方法的比较
Comparison of some methods of quantum state estimation
摘要:
本文对单量子比特的量子态层析的贝叶斯方法和最小二乘方法进行了比较。当真实状态是混合的或纯的时,通过计算机模拟来比较估计的质量。用保真度和Hilbert-Schmidt距离来量化误差。结果发现,在低测量数的政权贝叶斯方法优于最小二乘估计。这两种方法都对待估计状态的混合程度相当敏感,也就是说,它们的性能在接近纯状态时可能相当差。
英文摘要:
In the paper the Bayesian and the least squares methods of quantum state tomography are compared for a single qubit. The quality of the estimates are compared by computer simulation when the true state is either mixed or pure. The fidelity and the Hilbert-Schmidt distance are used to quantify the error. It was found that in the regime of low measurement number the Bayesian method outperforms the least squares estimation. Both methods are quite sensitive to the degree of mixedness of the state to be estimated, that is, their performance can be quite bad near pure states.
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