Quantum-Enhanced Phase Estimation with Photon-Added Even and Odd Coherent States in an SU(1,1) Interferometer
Abstract
We investigate phase estimation in an SU(1,1) interferometer employing m-photon-added even and odd coherent states as nonclassical input resources. The phase sensitivity is evaluated through intensity detection and the error propagation method, while the ultimate precision limit is determined from the quantum Cramér-Rao bound with the quantum Fisher information serving as the relevant metrological quantity. Our results demonstrate that photon addition significantly enhances the phase sensitivity, increases the quantum Fisher information, and reduces the quantum Cramér-Rao bound, leading to a clear improvement over the corresponding even and odd coherent states. Furthermore, the achievable sensitivity exceeds the standard quantum limit and gradually approaches the Heisenberg scaling with increasing photon-addition number. We also find that the m-photon-added even coherent states exhibit a modest advantage over their odd counterparts. As m increases, however, this distinction becomes progressively weaker, suggesting that photon addition diminishes the role of the initial parity of the coherent state in determining the interferometric performance.
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BibTeX
@misc{maaroufi2026quantumenhanced,
title = {{Quantum-Enhanced Phase Estimation with Photon-Added Even and Odd Coherent States in an SU(1,1) Interferometer}},
author = {Abdelmajid El Maaroufi and Mouad Ait Maskour and Bouchra Maroufi and Mohammed Daoud and Saeed Haddadi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04064},
eprint = {2609.04064},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04064},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum-Enhanced Phase Estimation with Photon-Added Even and Odd Coherent States in an SU(1,1) Interferometer
AU - Abdelmajid El Maaroufi
AU - Mouad Ait Maskour
AU - Bouchra Maroufi
AU - Mohammed Daoud
AU - Saeed Haddadi
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.04064
UR - https://arxiv.org/abs/2609.04064
AB - We investigate phase estimation in an SU(1,1) interferometer employing m-photon-added even and odd coherent states as nonclassical input resources. The phase sensitivity is evaluated through intensity detection and the error propagation method, while the ultimate precision limit is determined from the quantum Cramér-Rao bound with the quantum Fisher information serving as the relevant metrological quantity. Our results demonstrate that photon addition significantly enhances the phase sensitivity, increases the quantum Fisher information, and reduces the quantum Cramér-Rao bound, leading to a clear improvement over the corresponding even and odd coherent states. Furthermore, the achievable sensitivity exceeds the standard quantum limit and gradually approaches the Heisenberg scaling with increasing photon-addition number. We also find that the m-photon-added even coherent states exhibit a modest advantage over their odd counterparts. As m increases, however, this distinction becomes progressively weaker, suggesting that photon addition diminishes the role of the initial parity of the coherent state in determining the interferometric performance.
ER -