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Special Issue "Quantum Mechanics and Symmetry/Asymmetry: Review Paper on Quantum Nonlinear Interferometers"

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A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (31 July 2023) | Viewed by 5454

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Dr. Polina Sharapova

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Department of Physics, Faculty of Science, Paderborn University, Warburger Strasse 100, 33098 Paderborn, Germany
Interests: laser; atomic physics; quantum mechanics; quantum optics; quantum entanglement; nonlinear optics

Special Issue Information

Dear Colleagues,

In metrology, nonlinear interferometers present a versatile technique for sensitive phase measurements and form the basis for detecting gravitational waves. Such interferometers contain nonlinear elements (parametric down-conversion, four-wave mixing) instead of conventional beam splitters, and have many advantages over their linear counterparts in terms of measurement accuracy, state engineering and loss resistance. Nonlinear interferometers can be realized in different geometries and produce quantum light with various spectral and spatial profiles, mode structure and orbital angular momenta. At the same time, due to strong correlations between signal and idler photons generated within such interferometers, they are promissing tools for testing the symmetry of objects, their chirality, and can be used in many quantum applications, from quantum imaging to quantum communication and quantum cryptography.

This Special Issue, “Quantum nonlinear interferometers”, will feature articles with a broad scope of research on the properties of nonlinear interferometers and their applications in metrology and other branches of science.

Dr. Polina Sharapova
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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Keywords

quantum optics
metrology
nonlinear interferometers
quantum imaging
state engineering
parametric down-conversion
four-wave-mixing
entanglement
orbital angular momentum
chirality

Published Papers (4 papers)

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Research

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Open AccessArticle

A Symmetric Extensible Protocol for Quantum Secret Sharing

Michael Ampatzis

and

Theodore Andronikos

Symmetry 2022, 14(8), 1692; https://doi.org/10.3390/sym14081692 - 15 Aug 2022

Cited by 5 | Viewed by 829

Abstract

This paper introduces the Symmetric Extensible Quantum Secret Sharing protocol, a novel quantum protocol for secret sharing. At its heart, it is an entanglement-based protocol that relies on the use of maximally entangled GHZ tuples, evenly distributed among the players, endowing the spymaster with the ability to securely share a secret message with the agents. Its security stems from the fact that it is highly improbable for a malicious eavesdropper or a rogue double agent to disrupt its successful execution. It is characterized by symmetry, since all agents are treated indiscriminately, utilizing identical quantum circuits. Furthermore, it can be seamlessly extended to an arbitrary number of agents. Finally, after the completion of the quantum part of the protocol, the spymaster will have to publicly transmit some information, in order to allow the agents to unlock the secret message. This part of the protocol can be considered as an additional advantage, due to the fact that it gives the spymaster the privilege of deciding if, or when, it is the right time for the agents to unlock the secret message, after the completion of the quantum part of the protocol. Full article

(This article belongs to the Special Issue Quantum Mechanics and Symmetry/Asymmetry: Review Paper on Quantum Nonlinear Interferometers)

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Open AccessArticle

Two-Colour Spectrally Multimode Integrated SU(1,1) Interferometer

Alessandro Ferreri

and

Polina R. Sharapova

Symmetry 2022, 14(3), 552; https://doi.org/10.3390/sym14030552 - 09 Mar 2022

Viewed by 1506

Abstract

Multimode integrated interferometers have great potential for both spectral engineering and metrological applications. However, the material dispersion of integrated platforms constitutes an obstacle that limits the performance and precision of such interferometers. At the same time, two-colour nonlinear interferometers present an important tool for metrological applications, when measurements in a certain frequency range are difficult. In this manuscript, we theoretically developed and investigated an integrated multimode two-colour SU(1,1) interferometer operating in a supersensitive mode. By ensuring the proper design of the integrated platform, we suppressed the dispersion, thereby significantly increasing the visibility of the interference pattern. The use of a continuous wave pump laser provided the symmetry between the spectral shapes of the signal and idler photons concerning half the pump frequency, despite different photon colours. We demonstrate that such an interferometer overcomes the classical phase sensitivity limit for wide parametric gain ranges, when up to

3 \times 10^{4}

photons are generated. Full article

(This article belongs to the Special Issue Quantum Mechanics and Symmetry/Asymmetry: Review Paper on Quantum Nonlinear Interferometers)

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Review

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Open AccessReview

Sensitivity of Quantum-Enhanced Interferometers

Dariya Salykina

and

Farid Khalili

Symmetry 2023, 15(3), 774; https://doi.org/10.3390/sym15030774 - 22 Mar 2023

Viewed by 946

Abstract

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. Full article

(This article belongs to the Special Issue Quantum Mechanics and Symmetry/Asymmetry: Review Paper on Quantum Nonlinear Interferometers)

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Open AccessReview

Phase Sensitivity Improvement in Correlation-Enhanced Nonlinear Interferometers

and

Symmetry 2022, 14(12), 2684; https://doi.org/10.3390/sym14122684 - 19 Dec 2022

Cited by 1 | Viewed by 1191

Abstract

Interferometers are widely used as sensors in precision measurement. Compared with a conventional Mach–Zehnder interferometer, the sensitivity of a correlation-enhanced nonlinear interferometer can break the standard quantum limit. Phase sensitivity plays a significant role in the enhanced performance. In this paper, we review improvement in phase estimation technologies in correlation-enhanced nonlinear interferometers, including SU(1,1) interferometer and SU(1,1)-SU(2) hybrid interferometer, and so on, and the applications in quantum metrology and quantum sensing networks. Full article

(This article belongs to the Special Issue Quantum Mechanics and Symmetry/Asymmetry: Review Paper on Quantum Nonlinear Interferometers)

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