Third-harmonic entanglement and Einstein-Podolsky-Rosen steering over a frequency range of more than an octave

Olsen, M. K.

doi:10.1103/physreva.97.033820

Cited by 24 publications

(11 citation statements)

References 47 publications

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“…However, this does not survive the full quantum treatment, with the oscillations disappearing completely. A less pronounced damping of self-pulsing oscillations has recently been found in a full quantum treatment of other cascaded systems [9,25] and shows the dangers of relying on classical analyses of quantum optical systems. The canonical method to calculate self-pulsing in SHG is to numerically integrate the classical equations with a small complex seed in one or both the modes.…”

Section: Steady-state and Threshold Propertiesmentioning

confidence: 80%

Quantum correlations across two octaves from combined up- and down-conversion

Olsen

2018

Phys. Rev. A

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We propose and analyze a cascaded optical parametric system which involves three interacting modes across two octaves of frequency difference. Our system, combining degenerate optical parametric oscillation (OPO) with second harmonic generation (SHG), promises to be a useful source of squeezed and entangled light at three differing frequencies. We show how changes in damping rates and the ratio of the two concurrent nonlinearities affect the quantum correlations in the output fields. We analyze the threshold behavior, showing how the normal OPO threshold is changed by the addition of the SHG interactions. We also find that the inclusion of the OPO interaction removes the self-pulsing behavior found in normal SHG. Finally, we show how the Einstein-PodolskyRosen correlations can be controlled by the injection of a coherent seed field at the lower frequency.

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Section: Steady-state and Threshold Propertiesmentioning

confidence: 80%

Quantum correlations across two octaves from combined up- and down-conversion

Olsen

2018

Phys. Rev. A

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“…The other scheme is achieved by cascaded nonlinear processes; this scheme can obtain multicolor continuous variable optical modes, which can be applied to quantum storage, transmission, and processing of broadband at different frequencies in quantum communication networks. Recently, Olsen investigated the bipartite quantum steering correlations by studying the cascaded second-harmonic generation process 26 and the cascaded third-harmonic generation process, 27 and Yu et al investigated the tripartite EPR steering by studying the cascaded third-harmonic generation process 28 and the cascaded fourth-harmonic generation process. 29 These studies make a contribution to the further research on steering by cascaded nonlinear processes.…”

Section: Introductionmentioning

confidence: 99%

Three-color and tripartite steering generated by intracavity cascaded processes

Zhai

Kong

et al. 2023

Opt. Eng.

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Einstein-Podolsky-Rosen (EPR) steering has important practical applications in secure quantum communication because of its unique characters. Multicolor and multipartite EPR steering is an important resource for connecting different physical systems in the quantum networks with several nodes. We investigate three-color and tripartite steering properties based on the intracavity cascaded nonlinear processes of down conversion and sum frequency. Based on the criteria proposed by Kogias [Phys. Rev. Lett. 114, 060403 (2015)], the steering parameters among down-conversion fields and sum-frequency field versus the normalized frequency and the pump parameter are studied. Our research shows that the direction of steering and steerability can be manipulated flexibly. We also show that quantum secret sharing can be realized in our scheme. And the results of asymmetric quantum steering and joint quantum steering among different modes provide a technical reference for the construction of secure quantum information network.

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“…This can be done through nonlinear processes. In the bipartite case, entanglement and steering can be produced by parametric processes, as harmonic cascades with sum-frequency or by a direct third-harmonic generation [57]. In [58], a nonlinear optical apparatus where the steering can be controlled and even set as one-way steering is described, which shows the asymmetry of quantum steering.…”

Section: Introductionmentioning

confidence: 99%

Certification and applications of quantum nonlocal correlations

Piceno-Martínez,

Rosales-Zárate,

Ornelas-Cruces

2023

J. Phys. Photonics

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Entanglement and Einstein-Podolsky-Rosen (EPR) steering are nonlocal quantum correlations, which are relevant resources for quantum information protocols. EPR steering, or quantum steering, refers to the correlation where a party might “steer”, or modify, the state of another, which is spatially separated. Entanglement is a symmetric resource while steering is asymmetrical, since it depends on the direction of the effect. Due to these different characteristics and the therefore different possible applications, there has been both theoretical and experimental research on forms to certify the distinct quantum nonlocal correlations. In recent years, alongside the investigation on quantum correlations between two systems, there has been a great interest in investigating multipartite/multimode entanglement as well as steering, since they include a high dimension and it may be possible to store more information than in a single qubit. In this review, we will summarize the different criteria and measures that have been developed for the characterization of these two kinds of correlations. We first focus on bipartite entanglement and steering. We then review the progress that has been made in the investigation of multipartite quantum correlations. We revise the theoretical work in quantum nonlocal correlation witnesses and measures, which respectively allow one to certify that the system is entangled or presents EPR steering, and give a quantification of the content of these correlations in the system. Then, we briefly review the experiments that have been designed and that demonstrate multipartite quantum correlations. We also include applications in quantum information protocols, in particular in quantum teleportation and quantum cryptography.

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Third-harmonic entanglement and Einstein-Podolsky-Rosen steering over a frequency range of more than an octave

Cited by 24 publications

References 47 publications

Quantum correlations across two octaves from combined up- and down-conversion

Quantum correlations across two octaves from combined up- and down-conversion

Three-color and tripartite steering generated by intracavity cascaded processes

Certification and applications of quantum nonlocal correlations

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