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Quantum-enhanced multiparameter estimation and compressed sensing of a field
by Youcef Baamara, Manuel Gessner, Alice Sinatra
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Youcef Baamara · Manuel Gessner |
| Submission information | |
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| Preprint Link: | scipost_202207_00046v4 (pdf) |
| Date accepted: | 2022-12-01 |
| Date submitted: | 2022-11-03 16:37 |
| Submitted by: | Baamara, Youcef |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We show that a significant quantum gain corresponding to squeezed or over-squeezed spin states can be obtained in multiparameter estimation by measuring the Hadamard coefficients of a 1D or 2D signal. The physical platform we consider consists of two-level atoms in an optical lattice in a squeezed-Mott configuration, or more generally by correlated spins distributed in spatially separated modes. Our protocol requires the possibility to locally flip the spins, but relies on collective measurements. We give examples of applications to scalar or vector field mapping and compressed sensing.
List of changes
- We have added a footnote (footnote 1) to explain what we mean by a collective measurement,
- We have added a sentence in the end of the fourth paragraph of the introduction to explain the advantage of collective measurements with respect to local measurements.
Published as SciPost Phys. 14, 050 (2023)