Minimal-noise estimation of noncommuting rotations of a spin

Autor: Jakub Czartowski, Karol Życzkowski, Daniel Braun
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Quantum, Vol 8, p 1341 (2024)
Druh dokumentu: article
ISSN: 2521-327X
DOI: 10.22331/q-2024-05-08-1341
Popis: 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.
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