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Author  |
Baamara, Y.; Gessner, M.; Sinatra, A. |
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Title |
Quantum-enhanced multiparameter estimation and compressed sensing of a field |
Type |
Journal Article |
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Year |
2023 |
Publication |
Scipost Physics |
Abbreviated Journal |
SciPost Phys. |
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Volume |
14 |
Issue |
3 |
Pages |
050 - 18pp |
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Keywords |
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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 twolevel 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. |
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Address |
[Baamara, Youcef; Sinatra, Alice] Univ PSL, Univ Sorbonne, ENS, Lab Kastler Brossel,CNRS, 24 Rue Lhomond, F-75231 Paris, France, Email: alice.sinatra@lkb.ens.fr |
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Scipost Foundation |
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Language |
English |
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ISSN |
2542-4653 |
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Notes |
WOS:000974981200008 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5519 |
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Author |
Biagi, N.; Francesconi, S.; Gessner, M.; Bellini, M.; Zavatta, A. |
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Title |
Remote Phase Sensing by Coherent Single Photon Addition |
Type |
Journal Article |
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Year |
2022 |
Publication |
Advanced Quantum Technologies |
Abbreviated Journal |
Adv. Quantum Technol. |
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Volume |
5 |
Issue |
12 |
Pages |
2200039 - 9pp |
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Keywords |
quantum optics; quantum state engineering; remote quantum sensing |
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Abstract |
A remote phase sensing scheme is proposed, inspired by the high sensitivity of the entanglement produced by coherent multimode photon addition on the phase set in the remote heralding apparatus. By exploring the case of delocalized photon addition over two modes containing identical coherent states, the optimal observable to perform remote phase estimation from heralded quadrature measurements is derived. The technique is experimentally tested with calibration measurements and then used for estimating a remote phase with a sensitivity that is found to scale with the intensity of the local coherent states, which never interacted with the sample. |
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Address |
[Biagi, Nicola; Francesconi, Saverio; Bellini, Marco; Zavatta, Alessandro] Ist Nazl Ott CNR INO, Lgo E Fermi 6, I-50125 Florence, Italy, Email: marco.bellini@ino.cnr.it; |
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Publisher |
Wiley |
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Language |
English |
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Notes |
WOS:000865838800001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5378 |
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Author |
Fadel, M.; Yadin, B.; Mao, Y.P.; Byrnes, T.; Gessner, M. |
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Title |
Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin ensembles |
Type |
Journal Article |
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Year |
2023 |
Publication |
New Journal of Physics |
Abbreviated Journal |
New J. Phys. |
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Volume |
25 |
Issue |
7 |
Pages |
073006 - 25pp |
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Keywords |
quantum metrology; Bose-Einstein condensates; spin-squeezing; Fisher information matrix; mode and particle entanglement |
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Abstract |
We identify the multiparameter sensitivity of entangled spin states, such as spin-squeezed and Dicke states that are spatially distributed into several addressable spatial modes. Analytical expressions for the spin-squeezing matrix of families of states that are accessible by current atomic experiments reveal the quantum gain in multiparameter metrology, as well as the optimal strategies to maximize the sensitivity gain for the estimation of any linear combination of parameters. We further study the mode entanglement of these states by deriving a witness for genuine k-partite mode entanglement from the spin-squeezing matrix. Our results highlight the advantage of mode entanglement for distributed sensing, and outline optimal protocols for multiparameter estimation with nonclassical spatially-distributed spin ensembles. We illustrate our findings with the design of a protocol for gradient sensing with a Bose-Einstein condensate in an entangled spin state in two modes. |
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Address |
[Fadel, Matteo] Swiss Fed Inst Technol, Dept Phys, CH-8093 Zurich, Switzerland, Email: fadelm@phys.ethz.ch; |
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Publisher |
IOP Publishing Ltd |
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Language |
English |
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Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1367-2630 |
ISBN |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:001026518600001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5582 |
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Author |
Gessner, M.; Smerzi, A. |
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Title |
Hierarchies of Frequentist Bounds for Quantum Metrology: From Cramer-Rao to Barankin |
Type |
Journal Article |
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Year |
2023 |
Publication |
Physical Review Letters |
Abbreviated Journal |
Phys. Rev. Lett. |
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Volume |
130 |
Issue |
26 |
Pages |
260801 - 6pp |
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Keywords |
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Abstract |
We derive lower bounds on the variance of estimators in quantum metrology by choosing test observables that define constraints on the unbiasedness of the estimator. The quantum bounds are obtained by analytical optimization over all possible quantum measurements and estimators that satisfy the given constraints. We obtain hierarchies of increasingly tight bounds that include the quantum Cramer-Rao bound at the lowest order. In the opposite limit, the quantum Barankin bound is the variance of the locally best unbiased estimator in quantum metrology. Our results reveal generalizations of the quantum Fisher information that are able to avoid regularity conditions and identify threshold behavior in quantum measurements with mixed states, caused by finite data. |
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Address |
[Gessner, Manuel] Univ Valencia, Dept Fis Teor, IFIC, CSIC, Carrer Dr Moliner 50, Valencia 46100, Spain, Email: manuel.gessner@uv.es; |
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Publisher |
Amer Physical Soc |
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Language |
English |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0031-9007 |
ISBN |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:001140164100003 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5902 |
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Author |
Gessner, M.; Treps, N.; Fabre, C. |
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Title |
Estimation of a parameter encoded in the modal structure of a light beam: a quantum theory |
Type |
Journal Article |
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Year |
2023 |
Publication |
Optica |
Abbreviated Journal |
Optica |
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Volume |
10 |
Issue |
8 |
Pages |
996-999 |
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Keywords |
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Abstract |
Quantum light is described not only by a quantum state but also by the shape of the electromagnetic modes on which the state is defined. Optical precision measurements often estimate a “mode parameter” that determines properties such as frequency, temporal shape, and the spatial distribution of the light field. By deriving quantum precision limits, we establish the fundamental bounds for mode parameter estimation. Our results reveal explicit mode-design recipes that enable the estimation of any mode parameter with quantum enhanced precision. Our approach provides practical methods for optimizing mode parameter estimation with relevant applications, including spatial and temporal positioning, spectroscopy, phase estimation, and superresolution imaging. |
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Address |
[Gessner, Manuel] Univ Valencia, CSIC, IFIC, Dept Fis Teor, C Dr Moliner 50, Burjassot 46100, Valencia, Spain, Email: manuel.gessner@uv.es |
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Publisher |
Optica Publishing Group |
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Language |
English |
Summary Language |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
2334-2536 |
ISBN |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:001184882300001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5988 |
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