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- Title
Quantum Sensing of Curvature.
- Authors
Bonalda, Daniele; Seveso, Luigi; Paris, Matteo G. A.
- Abstract
We address the problem of sensing the curvature of a manifold by performing measurements on a particle constrained to the manifold itself. In particular, we consider situations where the dynamics of the particle is quantum mechanical and the manifold is a surface embedded in the three-dimensional Euclidean space. We exploit ideas and tools from quantum estimation theory to quantify the amount of information encoded into a state of the particle, and to seek for optimal probing schemes, able to actually extract this information. Explicit results are found for a free probing particle and in the presence of a magnetic field. We also address precision achievable by position measurement, and show that it provides a nearly optimal detection scheme, at least to estimate the radius of a sphere or a cylinder.
- Subjects
CURVATURE; ESTIMATION theory; PARTICLE dynamics; MAGNETIC particles; QUANTUM theory
- Publication
International Journal of Theoretical Physics, 2019, Vol 58, Issue 9, p2914
- ISSN
0020-7748
- Publication type
Article
- DOI
10.1007/s10773-019-04174-9