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Quantum-enhanced multiparameter estimation and compressed sensing of a field

by Youcef Baamara, Manuel Gessner, Alice Sinatra

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Submission summary

Authors (as registered SciPost users): Youcef Baamara · Manuel Gessner
Submission information
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
Academic field: Physics
  • Quantum Physics
Approach: Theoretical


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.

Published as SciPost Phys. 14, 050 (2023)

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.

Reports on this Submission

Anonymous Report 1 on 2022-11-4 (Invited Report)


I recommend it to be published now.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
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