A tensor network approach to sensing quantum light-matter interactions

Fuente: arXiv
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Main Authors: Khan, Aiman, Albarelli, Francesco, Datta, Animesh
Format: Preprint
Published: 2025
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author Khan, Aiman
Albarelli, Francesco
Datta, Animesh
author_facet Khan, Aiman
Albarelli, Francesco
Datta, Animesh
contents We present the fundamental limits to the precision of estimating parameters of a quantum matter system probed by light, even when some of the light is lost. This practically inevitable scenario leads to a tripartite quantum system of matter, and light -- detected and lost. Evaluating fundamental information theoretic quantities such as the quantum Fisher information of only the detected light was heretofore impossible. We succeed by expressing the final quantum state of the detected light as a matrix product operator. We apply our method to resonance fluorescence and pulsed spectroscopy. For both, we quantify the sub-optimality of continuous homodyning and photo-counting measurements in parameter estimation. For the latter, we find that single-photon Fock state pulses allow higher precision per photon than pulses of coherent states. Our method should be valuable in studies of quantum light-matter interactions, quantum light spectroscopy, quantum stochastic thermodynamics, and quantum clocks.
format Preprint
id arxiv_https___arxiv_org_abs_2504_12399
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A tensor network approach to sensing quantum light-matter interactions
Khan, Aiman
Albarelli, Francesco
Datta, Animesh
Quantum Physics
We present the fundamental limits to the precision of estimating parameters of a quantum matter system probed by light, even when some of the light is lost. This practically inevitable scenario leads to a tripartite quantum system of matter, and light -- detected and lost. Evaluating fundamental information theoretic quantities such as the quantum Fisher information of only the detected light was heretofore impossible. We succeed by expressing the final quantum state of the detected light as a matrix product operator. We apply our method to resonance fluorescence and pulsed spectroscopy. For both, we quantify the sub-optimality of continuous homodyning and photo-counting measurements in parameter estimation. For the latter, we find that single-photon Fock state pulses allow higher precision per photon than pulses of coherent states. Our method should be valuable in studies of quantum light-matter interactions, quantum light spectroscopy, quantum stochastic thermodynamics, and quantum clocks.
title A tensor network approach to sensing quantum light-matter interactions
topic Quantum Physics
url https://arxiv.org/abs/2504.12399