Persistent quantum advantage with definite photon-number states in lossy multiple-phase estimation

Fuente: arXiv
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Main Authors: Namkung, Min, Kim, Dong-Hyun, Hong, Seongjin, Lee, Changhyoup, Lim, Hyang-Tag
Format: Preprint
Published: 2024
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author Namkung, Min
Kim, Dong-Hyun
Hong, Seongjin
Lee, Changhyoup
Lim, Hyang-Tag
author_facet Namkung, Min
Kim, Dong-Hyun
Hong, Seongjin
Lee, Changhyoup
Lim, Hyang-Tag
contents Multiple-phase estimation exploiting quantum states has broad applications in novel sensing and imaging technologies. However, the unavoidable presence of lossy environments in practical settings often diminishes the precision of phase estimations. To address this challenge, we propose an optimal multiple-phase estimation scheme that is inherently robust against photon loss, ensuring a persistent quantum advantage across all levels of photon loss. The scheme employs a multi-mode definite photon-number (DPN) state with weights optimized for given levels of photon loss. We theoretically demonstrate that the DPN state can sustain quantum enhancement in estimation precision under all levels of photon loss, compared to the classical benchmark that employs a coherent state input. The proposed scheme using DPN states generalizes earlier studies employing NOON states, which are only optimal when photon loss is small. We believe that our study, demonstrating persistent robustness to photon loss, paves the way for significant advancements in quantum-enhanced sensing technologies, enabling practical applications and quantum advantages in real-world scenarios.
format Preprint
id arxiv_https___arxiv_org_abs_2407_16246
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Persistent quantum advantage with definite photon-number states in lossy multiple-phase estimation
Namkung, Min
Kim, Dong-Hyun
Hong, Seongjin
Lee, Changhyoup
Lim, Hyang-Tag
Quantum Physics
Multiple-phase estimation exploiting quantum states has broad applications in novel sensing and imaging technologies. However, the unavoidable presence of lossy environments in practical settings often diminishes the precision of phase estimations. To address this challenge, we propose an optimal multiple-phase estimation scheme that is inherently robust against photon loss, ensuring a persistent quantum advantage across all levels of photon loss. The scheme employs a multi-mode definite photon-number (DPN) state with weights optimized for given levels of photon loss. We theoretically demonstrate that the DPN state can sustain quantum enhancement in estimation precision under all levels of photon loss, compared to the classical benchmark that employs a coherent state input. The proposed scheme using DPN states generalizes earlier studies employing NOON states, which are only optimal when photon loss is small. We believe that our study, demonstrating persistent robustness to photon loss, paves the way for significant advancements in quantum-enhanced sensing technologies, enabling practical applications and quantum advantages in real-world scenarios.
title Persistent quantum advantage with definite photon-number states in lossy multiple-phase estimation
topic Quantum Physics
url https://arxiv.org/abs/2407.16246