Metrological Advantages in Seeded and Lossy Nonlinear Interferometers

The quantum Fisher information (QFI) bounds the sensitivity of a quantum measurement, heralding the conditions for quantum advantages when compared with classical strategies. Here, we calculate analytical expressions for the QFI of nonlinear interferometers under lossy conditions and with coherent-s...

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Main Authors: Jasper Kranias, Guillaume Thekkadath, Khabat Heshami, Aaron Z. Goldberg
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2025-02-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2025-02-04-1619/pdf/
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author Jasper Kranias
Guillaume Thekkadath
Khabat Heshami
Aaron Z. Goldberg
author_facet Jasper Kranias
Guillaume Thekkadath
Khabat Heshami
Aaron Z. Goldberg
author_sort Jasper Kranias
collection DOAJ
description The quantum Fisher information (QFI) bounds the sensitivity of a quantum measurement, heralding the conditions for quantum advantages when compared with classical strategies. Here, we calculate analytical expressions for the QFI of nonlinear interferometers under lossy conditions and with coherent-state seeding. We normalize the results based on the number of photons going through the sample that induces a phase shift on the incident quantum state, which eliminates some of the previously declared metrological advantages. We analyze the performance of nonlinear interferometers in a variety of geometries and robustness of the quantum advantage with respect to internal and external loss through direct comparison with a linear interferometer. We find the threshold on the internal loss at which the quantum advantage vanishes, specify when and how much coherent-state seeding optimally counters internal loss, and show that a sufficient amount of squeezing confers to the quantum advantages robustness against external loss and inefficient detection.
format Article
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institution Kabale University
issn 2521-327X
language English
publishDate 2025-02-01
publisher Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
record_format Article
series Quantum
spelling doaj-art-6223c245226449728ff3e2380ef8043e2025-02-04T16:26:54ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-02-019161910.22331/q-2025-02-04-161910.22331/q-2025-02-04-1619Metrological Advantages in Seeded and Lossy Nonlinear InterferometersJasper KraniasGuillaume ThekkadathKhabat HeshamiAaron Z. GoldbergThe quantum Fisher information (QFI) bounds the sensitivity of a quantum measurement, heralding the conditions for quantum advantages when compared with classical strategies. Here, we calculate analytical expressions for the QFI of nonlinear interferometers under lossy conditions and with coherent-state seeding. We normalize the results based on the number of photons going through the sample that induces a phase shift on the incident quantum state, which eliminates some of the previously declared metrological advantages. We analyze the performance of nonlinear interferometers in a variety of geometries and robustness of the quantum advantage with respect to internal and external loss through direct comparison with a linear interferometer. We find the threshold on the internal loss at which the quantum advantage vanishes, specify when and how much coherent-state seeding optimally counters internal loss, and show that a sufficient amount of squeezing confers to the quantum advantages robustness against external loss and inefficient detection.https://quantum-journal.org/papers/q-2025-02-04-1619/pdf/
spellingShingle Jasper Kranias
Guillaume Thekkadath
Khabat Heshami
Aaron Z. Goldberg
Metrological Advantages in Seeded and Lossy Nonlinear Interferometers
Quantum
title Metrological Advantages in Seeded and Lossy Nonlinear Interferometers
title_full Metrological Advantages in Seeded and Lossy Nonlinear Interferometers
title_fullStr Metrological Advantages in Seeded and Lossy Nonlinear Interferometers
title_full_unstemmed Metrological Advantages in Seeded and Lossy Nonlinear Interferometers
title_short Metrological Advantages in Seeded and Lossy Nonlinear Interferometers
title_sort metrological advantages in seeded and lossy nonlinear interferometers
url https://quantum-journal.org/papers/q-2025-02-04-1619/pdf/
work_keys_str_mv AT jasperkranias metrologicaladvantagesinseededandlossynonlinearinterferometers
AT guillaumethekkadath metrologicaladvantagesinseededandlossynonlinearinterferometers
AT khabatheshami metrologicaladvantagesinseededandlossynonlinearinterferometers
AT aaronzgoldberg metrologicaladvantagesinseededandlossynonlinearinterferometers