Weakly invasive metrology: quantum advantage and physical implementations

M. Perarnau-Llobet; D. Malz; J. I. Cirac

doi:10.22331/q-2021-04-28-446

Weakly invasive metrology: quantum advantage and physical implementations

M. Perarnau-Llobet^1,2,3, D. Malz^1,2, and J. I. Cirac^1,2

¹Max-Planck-Institut für Quantenoptik, D-85748 Garching, Germany.
²Munich Center for Quantum Science and Technology (MCQST), Schellingstrasse 4, D-80799 München
³Département de Physique Appliquée, Université de Genève, Genève, Switzerland

Published:	2021-04-28, volume 5, page 446
Eprint:	arXiv:2006.12114v4
Doi:	https://doi.org/10.22331/q-2021-04-28-446
Citation:	Quantum 5, 446 (2021).

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Abstract

We consider the estimation of a Hamiltonian parameter of a set of highly photosensitive samples, which are damaged after a few photons $N_{\rm abs}$ are absorbed, for a total time $T$. The samples are modelled as a two mode photonic system, where photons simultaneously acquire information on the unknown parameter and are absorbed at a fixed rate. We show that arbitrarily intense coherent states can obtain information at a rate that scales at most linearly with $N_{\rm abs}$ and $T$, whereas quantum states with finite intensity can overcome this bound. We characterise the quantum advantage as a function of $N_{\rm abs}$ and $T$, as well as its robustness to imperfections (non-ideal detectors, finite preparation and measurement rates for quantum photonic states). We discuss an implementation in cavity QED, where Fock states are both prepared and measured by coupling atomic ensembles to the cavities. We show that superradiance, arising due to a collective coupling between the cavities and the atoms, can be exploited for improving the speed and efficiency of the measurement.

Featured image: Two interacting cavities are individually coupled to two atomic arrays, which are used to prepare and measure quantum states of light in the cavities.

► BibTeX data

@article{PerarnauLlobet2021weaklyinvasive,
  doi = {10.22331/q-2021-04-28-446},
  url = {https://doi.org/10.22331/q-2021-04-28-446},
  title = {Weakly invasive metrology: quantum advantage and physical implementations},
  author = {Perarnau-Llobet, M. and Malz, D. and Cirac, J. I.},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {5},
  pages = {446},
  month = apr,
  year = {2021}
}

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