Proper error bars for self-calibrating quantum tomography
Abstract
Self-calibrating quantum state tomography aims at reconstructing the unknown quantum state and certain properties of the measurement devices from the same data. Since the estimates of the state and device parameters come from the same data, one should employ a joint estimation scheme, including the construction and reporting of joint state-device error regions to quantify uncertainty. We explain how to do this naturally within the framework of optimal error regions. As an illustrative example, we apply our procedure to the double-crosshair measurement of the BB84 scenario in quantum cryptography and so reconstruct the state and estimate the detection efficiencies simultaneously and reliably. We also discuss the practical situation of a satellite-based quantum key distribution scheme, for which self-calibration and proper treatment of the data are necessities.
Cite
@article{arxiv.1904.11202,
title = {Proper error bars for self-calibrating quantum tomography},
author = {Jun Yan Sim and Jiangwei Shang and Hui Khoon Ng and Berthold-Georg Englert},
journal= {arXiv preprint arXiv:1904.11202},
year = {2019}
}
Comments
10 pages, 7 figures, 2 tables