Neutron optical test of completeness of quantum root-mean-square errors
Quantum Physics
2021-07-07 v2
Abstract
One of the major problems in quantum physics has been to generalize the classical root-mean-square error to quantum measurements to obtain an error measure satisfying both soundness (to vanish for any accurate measurements) and completeness (to vanish only for accurate measurements). A noise-operator based error measure has been commonly used for this purpose, but it has turned out incomplete. Recently, Ozawa proposed a new definition for a noise-operator based error measure to be both sound and complete. Here, we present a neutron optical demonstration for the completeness of the new error measure for both projective (or sharp) as well as generalized (or unsharp) measurements.
Cite
@article{arxiv.2009.06418,
title = {Neutron optical test of completeness of quantum root-mean-square errors},
author = {Stephan Sponar and Armin Danner and Masanao Ozawa and Yuji Hasegawa},
journal= {arXiv preprint arXiv:2009.06418},
year = {2021}
}
Comments
7 pages, 4 figures and Supplementary Information