We compare the two main techniques used for estimating the state of a physical system from unknown measurements: standard detector tomography and data-pattern tomography. Adopting linear inversion as a fair benchmark, we show that the difference between these two protocols can be traced back to the nonexistence of the reverse-order law for pseudoinverses. We capitalize on this fact to identify regimes where the data-pattern approach outperforms the standard one and vice versa. We corroborate these conclusions with numerical simulations of relevant examples of quantum state tomography.
@article{arxiv.1705.11080,
title = {Efficient tomography with unknown detectors},
author = {L. Motka and M. Paur and J. Rehacek and Z. Hradil and L. L. Sanchez-Soto},
journal= {arXiv preprint arXiv:1705.11080},
year = {2017}
}
Comments
13 pages, 6 figures. Submitted for publication. Comments most welcome!