Optimal multiple-phase estimation with multi-mode NOON states against photon loss

Fuente: arXiv
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Main Authors: Namkung, Min, Kim, Dong-Hyun, Hong, Seongjin, Kim, Yong-Su, Lee, Changhyoup, Lim, Hyang-Tag
Format: Preprint
Published: 2024
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author Namkung, Min
Kim, Dong-Hyun
Hong, Seongjin
Kim, Yong-Su
Lee, Changhyoup
Lim, Hyang-Tag
author_facet Namkung, Min
Kim, Dong-Hyun
Hong, Seongjin
Kim, Yong-Su
Lee, Changhyoup
Lim, Hyang-Tag
contents Multi-mode NOON states can quantum-enhance multiple-phase estimation in the absence of photon loss. However, a multi-mode NOON state is known to be vulnerable to photon loss, and its quantum-enhancement can be dissipated by lossy environment. In this work, we demonstrate that a quantum advantage in estimate precision can still be achieved in the presence of photon loss. This is accomplished by optimizing the weights of the multi-mode NOON states according to photon loss rates in the multiple modes, including the reference mode which defines the other phases. For practical relevance, we also show that photon-number counting via a multi-mode beam-splitter achieves the useful, albeit sub-optimal, quantum advantage. We expect this work to provide valuable guidance for developing quantum-enhanced multiple-phase estimation techniques in lossy environments.
format Preprint
id arxiv_https___arxiv_org_abs_2401_09734
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Optimal multiple-phase estimation with multi-mode NOON states against photon loss
Namkung, Min
Kim, Dong-Hyun
Hong, Seongjin
Kim, Yong-Su
Lee, Changhyoup
Lim, Hyang-Tag
Quantum Physics
Optics
Multi-mode NOON states can quantum-enhance multiple-phase estimation in the absence of photon loss. However, a multi-mode NOON state is known to be vulnerable to photon loss, and its quantum-enhancement can be dissipated by lossy environment. In this work, we demonstrate that a quantum advantage in estimate precision can still be achieved in the presence of photon loss. This is accomplished by optimizing the weights of the multi-mode NOON states according to photon loss rates in the multiple modes, including the reference mode which defines the other phases. For practical relevance, we also show that photon-number counting via a multi-mode beam-splitter achieves the useful, albeit sub-optimal, quantum advantage. We expect this work to provide valuable guidance for developing quantum-enhanced multiple-phase estimation techniques in lossy environments.
title Optimal multiple-phase estimation with multi-mode NOON states against photon loss
topic Quantum Physics
Optics
url https://arxiv.org/abs/2401.09734