The Role of Auxiliary Stages in Gaussian Quantum Metrology

The optimization of the passive and linear networks employed in quantum metrology, the field that studies and devises quantum estimation strategies to overcome the levels of precision achievable via classical means, appears to be an essential step in certain metrological protocols achieving the ulti...

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Main Authors: Danilo Triggiani, Paolo Facchi, Vincenzo Tamma
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/9/5/345
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author Danilo Triggiani
Paolo Facchi
Vincenzo Tamma
author_facet Danilo Triggiani
Paolo Facchi
Vincenzo Tamma
author_sort Danilo Triggiani
collection DOAJ
description The optimization of the passive and linear networks employed in quantum metrology, the field that studies and devises quantum estimation strategies to overcome the levels of precision achievable via classical means, appears to be an essential step in certain metrological protocols achieving the ultimate Heisenberg-scaling sensitivity. This optimization is generally performed by adding degrees of freedom by means of auxiliary stages, to optimize the probe before or after the interferometric evolution, and the choice of these stages ultimately determines the possibility to achieve a quantum enhancement. In this work we review the role of the auxiliary stages and of the extra degrees of freedom in estimation schemes, achieving the ultimate Heisenberg limit, which employ a squeezed-vacuum state and homodyne detection. We see that, after the optimization for the quantum enhancement has been performed, the extra degrees of freedom have a minor impact on the precision achieved by the setup, which remains essentially unaffected for networks with a larger number of channels. These degrees of freedom can thus be employed to manipulate how the information about the structure of the network is encoded into the probe, allowing us to perform quantum-enhanced estimations of linear and non-linear functions of independent parameters.
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spelling doaj.art-3c070cb883344771a50027b6288a898b2023-11-23T12:41:09ZengMDPI AGPhotonics2304-67322022-05-019534510.3390/photonics9050345The Role of Auxiliary Stages in Gaussian Quantum MetrologyDanilo Triggiani0Paolo Facchi1Vincenzo Tamma2School of Mathematics and Physics, University of Portsmouth, Portsmouth PO1 3QL, UKDipartimento di Fisica and MECENAS, Università di Bari, I-70126 Bari, ItalySchool of Mathematics and Physics, University of Portsmouth, Portsmouth PO1 3QL, UKThe optimization of the passive and linear networks employed in quantum metrology, the field that studies and devises quantum estimation strategies to overcome the levels of precision achievable via classical means, appears to be an essential step in certain metrological protocols achieving the ultimate Heisenberg-scaling sensitivity. This optimization is generally performed by adding degrees of freedom by means of auxiliary stages, to optimize the probe before or after the interferometric evolution, and the choice of these stages ultimately determines the possibility to achieve a quantum enhancement. In this work we review the role of the auxiliary stages and of the extra degrees of freedom in estimation schemes, achieving the ultimate Heisenberg limit, which employ a squeezed-vacuum state and homodyne detection. We see that, after the optimization for the quantum enhancement has been performed, the extra degrees of freedom have a minor impact on the precision achieved by the setup, which remains essentially unaffected for networks with a larger number of channels. These degrees of freedom can thus be employed to manipulate how the information about the structure of the network is encoded into the probe, allowing us to perform quantum-enhanced estimations of linear and non-linear functions of independent parameters.https://www.mdpi.com/2304-6732/9/5/345quantum metrologyquantum sensingdistributed parameterheisenberg limittypicalitygaussian metrology
spellingShingle Danilo Triggiani
Paolo Facchi
Vincenzo Tamma
The Role of Auxiliary Stages in Gaussian Quantum Metrology
Photonics
quantum metrology
quantum sensing
distributed parameter
heisenberg limit
typicality
gaussian metrology
title The Role of Auxiliary Stages in Gaussian Quantum Metrology
title_full The Role of Auxiliary Stages in Gaussian Quantum Metrology
title_fullStr The Role of Auxiliary Stages in Gaussian Quantum Metrology
title_full_unstemmed The Role of Auxiliary Stages in Gaussian Quantum Metrology
title_short The Role of Auxiliary Stages in Gaussian Quantum Metrology
title_sort role of auxiliary stages in gaussian quantum metrology
topic quantum metrology
quantum sensing
distributed parameter
heisenberg limit
typicality
gaussian metrology
url https://www.mdpi.com/2304-6732/9/5/345
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