Sensitivity of Quantum-Enhanced Interferometers

We review various schemes of quantum-enhanced optical interferometers, both linear (SU(2)) and non-linear (SU(1,1)) ones, as well as hybrid SU(2)/SU(1,1) options, using the unified modular approach based on the Quantum Cramèr–Rao bound (QCRB), and taking into account the practical limitations pertin...

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Main Authors: Dariya Salykina, Farid Khalili
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/3/774
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author Dariya Salykina
Farid Khalili
author_facet Dariya Salykina
Farid Khalili
author_sort Dariya Salykina
collection DOAJ
description We review various schemes of quantum-enhanced optical interferometers, both linear (SU(2)) and non-linear (SU(1,1)) ones, as well as hybrid SU(2)/SU(1,1) options, using the unified modular approach based on the Quantum Cramèr–Rao bound (QCRB), and taking into account the practical limitations pertinent to all real-world highly-sensitive interferometers. We focus on three important cases defined by the interferometer symmetry: (i) the asymmetric single-arm interferometer; (ii) the symmetric two-arm interferometer with the antisymmetric phase shifts in the arms; and (iii) the symmetric two-arm interferometer with the symmetric phase shifts in the arms. We show that while the optimal regimes for these cases differ significantly, their QCRBs asymptotically correspond to the same squeezing-enhanced shot noise limit (2), which first appeared in the pioneering work by C. Caves in 1981.We show also that in all considered cases the QCRB can be asymptotically saturated by the standard (direct or homodyne) detection schemes.
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spelling doaj.art-f7b137038e2d4d64b5fdd373a133a8ed2023-11-17T14:10:48ZengMDPI AGSymmetry2073-89942023-03-0115377410.3390/sym15030774Sensitivity of Quantum-Enhanced InterferometersDariya Salykina0Farid Khalili1Russian Quantum Center, Skolkovo 121205, RussiaRussian Quantum Center, Skolkovo 121205, RussiaWe review various schemes of quantum-enhanced optical interferometers, both linear (SU(2)) and non-linear (SU(1,1)) ones, as well as hybrid SU(2)/SU(1,1) options, using the unified modular approach based on the Quantum Cramèr–Rao bound (QCRB), and taking into account the practical limitations pertinent to all real-world highly-sensitive interferometers. We focus on three important cases defined by the interferometer symmetry: (i) the asymmetric single-arm interferometer; (ii) the symmetric two-arm interferometer with the antisymmetric phase shifts in the arms; and (iii) the symmetric two-arm interferometer with the symmetric phase shifts in the arms. We show that while the optimal regimes for these cases differ significantly, their QCRBs asymptotically correspond to the same squeezing-enhanced shot noise limit (2), which first appeared in the pioneering work by C. Caves in 1981.We show also that in all considered cases the QCRB can be asymptotically saturated by the standard (direct or homodyne) detection schemes.https://www.mdpi.com/2073-8994/15/3/774interferometersquantum noisequantum Cramer-Rao bound
spellingShingle Dariya Salykina
Farid Khalili
Sensitivity of Quantum-Enhanced Interferometers
Symmetry
interferometers
quantum noise
quantum Cramer-Rao bound
title Sensitivity of Quantum-Enhanced Interferometers
title_full Sensitivity of Quantum-Enhanced Interferometers
title_fullStr Sensitivity of Quantum-Enhanced Interferometers
title_full_unstemmed Sensitivity of Quantum-Enhanced Interferometers
title_short Sensitivity of Quantum-Enhanced Interferometers
title_sort sensitivity of quantum enhanced interferometers
topic interferometers
quantum noise
quantum Cramer-Rao bound
url https://www.mdpi.com/2073-8994/15/3/774
work_keys_str_mv AT dariyasalykina sensitivityofquantumenhancedinterferometers
AT faridkhalili sensitivityofquantumenhancedinterferometers