Unraveling quantum phase estimation: exploring the impact of multi-photon interference on the quantum Fisher information

Fuente: arXiv
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Autores principales: Ma, Annameng, Magnoni, Agustina G., Larotonda, Miguel A., Knoll, Laura T.
Formato: Preprint
Publicado: 2025
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author Ma, Annameng
Magnoni, Agustina G.
Larotonda, Miguel A.
Knoll, Laura T.
author_facet Ma, Annameng
Magnoni, Agustina G.
Larotonda, Miguel A.
Knoll, Laura T.
contents Quantum interference is known to become extinct with distinguishing information, as illustrated by the ubiquitous double-slit experiment or the two-photon HOM effect. In the former case single particle interference is destroyed with which-path information while in the latter bunching interference tails-off as photons become distinguishable. It has been observed that when more than two particles are involved, these interference patterns are in general a non monotonic function of the distinguishability. Here we perform a comprehensive characterization, both theoretically and experimentally, of four-photon interference by analyzing the corresponding correlation functions, contemplating several degrees of distinguishability across different parameters. This study provides all the necessary tools to quantify the impact of multi-photon interference on precision measurements of parameters such as phase, frequency, and time difference. We apply these insights to quantify the precision in the estimation of an interferometric phase in a two-port interferometer using a four-photon state. Our results reveal that, for certain phase values, partially distinguishable multi-photon states can achieve higher Fisher information values compared to the two-photon experiment. These findings highlight the potential of distinguishable multi-photon states for enhanced precision in quantum metrology and related applications.
format Preprint
id arxiv_https___arxiv_org_abs_2501_12945
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unraveling quantum phase estimation: exploring the impact of multi-photon interference on the quantum Fisher information
Ma, Annameng
Magnoni, Agustina G.
Larotonda, Miguel A.
Knoll, Laura T.
Quantum Physics
Quantum interference is known to become extinct with distinguishing information, as illustrated by the ubiquitous double-slit experiment or the two-photon HOM effect. In the former case single particle interference is destroyed with which-path information while in the latter bunching interference tails-off as photons become distinguishable. It has been observed that when more than two particles are involved, these interference patterns are in general a non monotonic function of the distinguishability. Here we perform a comprehensive characterization, both theoretically and experimentally, of four-photon interference by analyzing the corresponding correlation functions, contemplating several degrees of distinguishability across different parameters. This study provides all the necessary tools to quantify the impact of multi-photon interference on precision measurements of parameters such as phase, frequency, and time difference. We apply these insights to quantify the precision in the estimation of an interferometric phase in a two-port interferometer using a four-photon state. Our results reveal that, for certain phase values, partially distinguishable multi-photon states can achieve higher Fisher information values compared to the two-photon experiment. These findings highlight the potential of distinguishable multi-photon states for enhanced precision in quantum metrology and related applications.
title Unraveling quantum phase estimation: exploring the impact of multi-photon interference on the quantum Fisher information
topic Quantum Physics
url https://arxiv.org/abs/2501.12945