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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MDPI AG
2023-03-01
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Series: | Symmetry |
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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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format | Article |
id | doaj.art-f7b137038e2d4d64b5fdd373a133a8ed |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-11T05:50:46Z |
publishDate | 2023-03-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
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 |