Anonymous estimation of intensity distribution of magnetic fields with quantum sensing network

Fuente: arXiv
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Main Authors: Kasai, Hiroto, Takeuchi, Yuki, Matsuzaki, Yuichiro, Tokura, Yasuhiro
Format: Preprint
Published: 2023
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author Kasai, Hiroto
Takeuchi, Yuki
Matsuzaki, Yuichiro
Tokura, Yasuhiro
author_facet Kasai, Hiroto
Takeuchi, Yuki
Matsuzaki, Yuichiro
Tokura, Yasuhiro
contents A quantum sensing network is used to simultaneously detect and measure physical quantities, such as magnetic fields, at different locations. However, there is a risk that the measurement data is leaked to the third party during the communication. Many theoretical and experimental efforts have been made to realize a secure quantum sensing network where a high level of security is guaranteed. In this paper, we propose a protocol to estimate statistical quantities of the target fields at different places without knowing individual value of the target fields. We generate an enanglement between $L$ quantum sensors, let the quantum sensor interact with local fields, and perform specific measurements on them. By calculating the quantum Fisher information to estimate the individual value of the magnetic fields, we show that we cannot obtain any information of the value of the individual fields in the limit of large $L$. On the other hand, in our protocol, we can estimate theoretically any moment of the field distribution by measuring a specific observable and evaluated relative uncertainty of $k$-th ($k=1,2,3,4$) order moment. Our results are a significant step towards using a quantum sensing network with security inbuilt.
format Preprint
id arxiv_https___arxiv_org_abs_2305_14119
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Anonymous estimation of intensity distribution of magnetic fields with quantum sensing network
Kasai, Hiroto
Takeuchi, Yuki
Matsuzaki, Yuichiro
Tokura, Yasuhiro
Quantum Physics
A quantum sensing network is used to simultaneously detect and measure physical quantities, such as magnetic fields, at different locations. However, there is a risk that the measurement data is leaked to the third party during the communication. Many theoretical and experimental efforts have been made to realize a secure quantum sensing network where a high level of security is guaranteed. In this paper, we propose a protocol to estimate statistical quantities of the target fields at different places without knowing individual value of the target fields. We generate an enanglement between $L$ quantum sensors, let the quantum sensor interact with local fields, and perform specific measurements on them. By calculating the quantum Fisher information to estimate the individual value of the magnetic fields, we show that we cannot obtain any information of the value of the individual fields in the limit of large $L$. On the other hand, in our protocol, we can estimate theoretically any moment of the field distribution by measuring a specific observable and evaluated relative uncertainty of $k$-th ($k=1,2,3,4$) order moment. Our results are a significant step towards using a quantum sensing network with security inbuilt.
title Anonymous estimation of intensity distribution of magnetic fields with quantum sensing network
topic Quantum Physics
url https://arxiv.org/abs/2305.14119