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Neutron optical test of completeness of quantum root-mean-square errors
| Title: | Neutron optical test of completeness of quantum root-mean-square errors |
| Authors: | Sponar, Stephan Browse this author | | Danner, Armin Browse this author | | Ozawa, Masanao Browse this author | | Hasegawa, Yuji Browse this author |
| Issue Date: | 28-Jun-2021 |
| Publisher: | Nature Research |
| Journal Title: | npj Quantum Information |
| Volume: | 7 |
| Issue: | 1 |
| Start Page: | 106 |
| Publisher DOI: | 10.1038/s41534-021-00437-8 |
| Abstract: | While in classical mechanics the mean error of a measurement is solely caused by the measuring process (or device), in quantum mechanics the operator-based nature of quantum measurements has to be considered in the error measure as well. 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 an improved 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 improved error measure for both projective (or sharp) as well as generalized (or unsharp) measurements. |
| Type: | article |
| URI: | http://hdl.handle.net/2115/82364 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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