Minimal-noise estimation of noncommuting rotations of a spin
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909201301766144 |
|---|---|
| author | Czartowski, Jakub Życzkowski, Karol Braun, Daniel |
| author_facet | Czartowski, Jakub Życzkowski, Karol Braun, Daniel |
| contents | We propose an analogue of $\text{SU}(1,1)$ interferometry to measure rotation of a spin by using two-spin squeezed states. Attainability of the Heisenberg limit for the estimation of the rotation angle is demonstrated for maximal squeezing. For a specific direction and strength an advantage in sensitivity for all equatorial rotation axes (and hence non-commuting rotations) over the classical bound is shown in terms of quadratic scaling of the single-parameter quantum Fisher information for the corresponding rotation angles. Our results provide a method for measuring magnetic fields in any direction in the $x$-$y$-plane with the same optimized initial state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_08591 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Minimal-noise estimation of noncommuting rotations of a spin Czartowski, Jakub Życzkowski, Karol Braun, Daniel Quantum Physics We propose an analogue of $\text{SU}(1,1)$ interferometry to measure rotation of a spin by using two-spin squeezed states. Attainability of the Heisenberg limit for the estimation of the rotation angle is demonstrated for maximal squeezing. For a specific direction and strength an advantage in sensitivity for all equatorial rotation axes (and hence non-commuting rotations) over the classical bound is shown in terms of quadratic scaling of the single-parameter quantum Fisher information for the corresponding rotation angles. Our results provide a method for measuring magnetic fields in any direction in the $x$-$y$-plane with the same optimized initial state. |
| title | Minimal-noise estimation of noncommuting rotations of a spin |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2303.08591 |