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Main Authors: Zang, Allen, Kolar, Alexander, Gonzales, Alvin, Chung, Joaquin, Gray, Stephen K., Kettimuthu, Rajkumar, Zhong, Tian, Saleem, Zain H.
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2409.17089
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author Zang, Allen
Kolar, Alexander
Gonzales, Alvin
Chung, Joaquin
Gray, Stephen K.
Kettimuthu, Rajkumar
Zhong, Tian
Saleem, Zain H.
author_facet Zang, Allen
Kolar, Alexander
Gonzales, Alvin
Chung, Joaquin
Gray, Stephen K.
Kettimuthu, Rajkumar
Zhong, Tian
Saleem, Zain H.
contents It is critically important to analyze the achievability of quantum advantage under realistic imperfections. In this work, we show that quantum advantage in distributed sensing can be achieved with noisy quantum networks which can only distribute noisy entangled states. We derive a closed-form expression of the quantum Fisher information (QFI) for estimating the average of local parameters using GHZ-diagonal probe states, an important distributed sensing prototype. From the QFI we obtain the necessary condition to achieve quantum advantage over the optimal local sensing strategy, which can also serve as an optimization-free entanglement detection criterion for multipartite states. In addition, we prove that genuine multipartite entanglement is neither necessary nor sufficient through explicit examples of depolarized and dephased GHZ states. We further explore the impacts from imperfect local entanglement generation and local measurement constraint, and our results imply that the quantum advantage is more robust against quantum network imperfections than local operation errors. Notably, these implications still hold when we explicitly consider dephasing during the sensing dynamics. Finally, we demonstrate that the probe state with potential for quantum advantage in distributed sensing can be prepared by a three-node quantum network using practical protocol stacks through simulations with SeQUeNCe, an open-source, customizable quantum network simulator. Our results significantly advance the understanding of, and offer practical guidance for achieving quantum advantage in distributed sensing under realistic noise.
format Preprint
id arxiv_https___arxiv_org_abs_2409_17089
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum Advantage in Distributed Sensing with Noisy Quantum Networks
Zang, Allen
Kolar, Alexander
Gonzales, Alvin
Chung, Joaquin
Gray, Stephen K.
Kettimuthu, Rajkumar
Zhong, Tian
Saleem, Zain H.
Quantum Physics
It is critically important to analyze the achievability of quantum advantage under realistic imperfections. In this work, we show that quantum advantage in distributed sensing can be achieved with noisy quantum networks which can only distribute noisy entangled states. We derive a closed-form expression of the quantum Fisher information (QFI) for estimating the average of local parameters using GHZ-diagonal probe states, an important distributed sensing prototype. From the QFI we obtain the necessary condition to achieve quantum advantage over the optimal local sensing strategy, which can also serve as an optimization-free entanglement detection criterion for multipartite states. In addition, we prove that genuine multipartite entanglement is neither necessary nor sufficient through explicit examples of depolarized and dephased GHZ states. We further explore the impacts from imperfect local entanglement generation and local measurement constraint, and our results imply that the quantum advantage is more robust against quantum network imperfections than local operation errors. Notably, these implications still hold when we explicitly consider dephasing during the sensing dynamics. Finally, we demonstrate that the probe state with potential for quantum advantage in distributed sensing can be prepared by a three-node quantum network using practical protocol stacks through simulations with SeQUeNCe, an open-source, customizable quantum network simulator. Our results significantly advance the understanding of, and offer practical guidance for achieving quantum advantage in distributed sensing under realistic noise.
title Quantum Advantage in Distributed Sensing with Noisy Quantum Networks
topic Quantum Physics
url https://arxiv.org/abs/2409.17089