Minimal-noise estimation of noncommuting rotations of a spin
arXiv:2303.08591 · doi:10.22331/q-2024-05-08-1341
Abstract
We propose an analogue of 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 --plane with the same optimized initial state.
arXiv comment30 pages + title page + abstract, 11 figures
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