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arXiv · 1903.06905

Quantum sensing of curvature

Daniele Bonalda·Luigi Seveso·Matteo G. A. Paris
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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.

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Daniele Bonalda, Luigi Seveso, Matteo G. A. Paris. 2019-03-16. Quantum sensing of curvature. https://doi.org/10.1007/s10773-019-04174-9

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