Heisenberg scaling based on population coding
We study Heisenberg scaling of quantum metrology in the viewpoint of population coding. Although Fisher information has been used for a figure of merit to characterize Heisenberg scaling in quantum metrology, several studies pointed out it does not work as a figure of merit because it does not refle...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2025-02-01
|
| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2025-02-26-1648/pdf/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850077997582778368 |
|---|---|
| author | Masahito Hayashi |
| author_facet | Masahito Hayashi |
| author_sort | Masahito Hayashi |
| collection | DOAJ |
| description | We study Heisenberg scaling of quantum metrology in the viewpoint of population coding. Although Fisher information has been used for a figure of merit to characterize Heisenberg scaling in quantum metrology, several studies pointed out it does not work as a figure of merit because it does not reflect the global structure. As an alternative figure of merit, we propose the mutual information, which connects the number of distinguishable elements of the parameter space in the viewpoint of population coding. We show that several unitary models achieve Heisenberg scaling in this context. |
| format | Article |
| id | doaj-art-e4f175fba80e4a9895dfc0acbb4d13e9 |
| institution | DOAJ |
| issn | 2521-327X |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-e4f175fba80e4a9895dfc0acbb4d13e92025-08-20T02:45:41ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-02-019164810.22331/q-2025-02-26-164810.22331/q-2025-02-26-1648Heisenberg scaling based on population codingMasahito HayashiWe study Heisenberg scaling of quantum metrology in the viewpoint of population coding. Although Fisher information has been used for a figure of merit to characterize Heisenberg scaling in quantum metrology, several studies pointed out it does not work as a figure of merit because it does not reflect the global structure. As an alternative figure of merit, we propose the mutual information, which connects the number of distinguishable elements of the parameter space in the viewpoint of population coding. We show that several unitary models achieve Heisenberg scaling in this context.https://quantum-journal.org/papers/q-2025-02-26-1648/pdf/ |
| spellingShingle | Masahito Hayashi Heisenberg scaling based on population coding Quantum |
| title | Heisenberg scaling based on population coding |
| title_full | Heisenberg scaling based on population coding |
| title_fullStr | Heisenberg scaling based on population coding |
| title_full_unstemmed | Heisenberg scaling based on population coding |
| title_short | Heisenberg scaling based on population coding |
| title_sort | heisenberg scaling based on population coding |
| url | https://quantum-journal.org/papers/q-2025-02-26-1648/pdf/ |
| work_keys_str_mv | AT masahitohayashi heisenbergscalingbasedonpopulationcoding |