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Scientific Reports

Multipartite EPR-steering and entanglement in a cavity magnomechanical system through coherent feedback

Hamza Harraf, Noura Chabar, Mohamed Amazioug, Rachid Ahl Laamara, Saeed Haddadi

Published Oct 21, 2025• 4 citations
Publisher

Abstract

Multipartite Einstein-Podolsky-Rosen (EPR) steering plays a crucial role in realizing secure quantum communication. In this paper, we theoretically investigate bipartite and tripartite quantum correlations, including entanglement and Gaussian quantum steering, in a cavity magnomechanical system incorporating a coherent feedback loop. We quantify and compare entanglement and Gaussian steering for four coupled bipartite Gaussian modes. Our results show that tuning the beam splitter's reflectivity parameter significantly enhances entanglement in both bipartite and tripartite states. Furthermore, we verify Coffman-Kundu-Wootters (CKW)-type monogamy inequalities for Gaussian steering among three tripartite modes for specific reflectivity values, and reveal the presence of one-way steering. These findings validate our system and demonstrate its potential for robust detection of multipartite entanglement and steering.

DOI
10.1038/s41598-025-20642-1

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Multipartite Einstein-Podolsky-Rosen (EPR) steering plays a crucial role in realizing secure quantum communication. In this paper, we theoretically investigate bipartite and tripartite quantum correlations, including entanglement and Gaussian quantum steering, in a cavity magnomechanical system incorporating a coherent feedback loop. We quantify and compare entanglement and Gaussian steering for four coupled bipartite Gaussian modes. Our results show that tuning the beam splitter's reflectivity parameter significantly enhances entanglement in both bipartite and tripartite states. Furthermore, we verify Coffman-Kundu-Wootters (CKW)-type monogamy inequalities for Gaussian steering among three tripartite modes for specific reflectivity values, and reveal the presence of one-way steering. These findings validate our system and demonstrate its potential for robust detection of multipartite entanglement and steering.
In this work, we propose a theoretical scheme to explore the enhancement of quantum correlation hierarchies in a cavity magnonmechanical system via the coherent feedback tool. We use Gaussian geometric discord to quantify quantum correlations between the two magnon modes, including those beyond entanglement, in the steady state. Logarithmic negativity and Gaussian quantum steering are employed to characterize entanglement and steerability, respectively. Our results show that adjusting the beam splitter's reflective parameter can significantly enhance quantum correlations and increase their resilience to thermal noise. Moreover, we demonstrate that coherent feedback can achieve enhanced genuine tripartite entanglement among the photon, magnon M1M_1M1​, and phonon. These findings present promising strategies for enhancing entanglement in magnon-based systems and advancing quantum information technologies. We conclude by validating the system and demonstrating its ability to detect entanglement.
We propose an experimental scheme for enhancing entanglement, achieving asymmetric Einstein-Podolsky-Rosen (EPR) steering, and creating nonreciprocal quantum correlations within a hybrid system. This system integrates a yttrium iron garnet (YIG) sphere, which exhibits magnon-phonon coupling via magnetostriction, with a silica sphere featuring optomechanical whispering-gallery modes. By tuning the Barnett effect through the magnetic field direction, our system enables controllable asymmetric EPR steering and nonreciprocal entanglement between both directly and indirectly coupled modes. We demonstrate that adjusting the reflectivity of a beam splitter can boost stationary quantum steering and entanglement, effectively countering thermal noise. This approach allows for the generation of multipartite entanglement and both one-way and two-way steering. The proposed system is experimentally feasible and holds significant promise for various quantum information applications.
We address a scheme to enhance the quantum correlations in cavity opto-magnomechanical system by using the coherent feedback loop in the presence of magnon squeezing. The proposed coherent feedback-control allows a significant enhancement of the entanglement of three bipartite subsystems, i.e., photon-phonon, photon-magnon and phonon-magnon. We also study the Einstein-Podolsky-Rosen steering and one-way steering in the presence of thermal effects without imposing additional conditions of asymmetric losses or noises in the subsystems. Furthermore, we investigate the sensitiveness of the scheme to the magnon squeezing, and its performance in non-ideal situations in which losses and noises are taken into account.
We suggest a method to improve quantum correlations in cavity magnomechanics, through the use of a coherent feedback loop and magnon squeezing. The entanglement of three bipartition subsystems: photon-phonon, photon-magnon, and phonon-magnon, is significantly improved by the coherent feedback-control method that has been proposed. In addition, we investigate Einstein-Podolsky-Rosen steering under thermal effects in each of the subsystems. We also evaluate the scheme's performance and sensitivity to magnon squeezing. Furthermore, we study the comparison between entanglement and Gaussian quantum discord in both steady and dynamical states.
Asymmetric Einstein–Podolsky–Rosen (EPR) steering means the ability of one party to nonlocally “steer” the state in the other side through local measurements. The asymmetric property of EPR steering provides adequate security in one-sided device-independent secure quantum communication protocols. In this paper, we theoretically investigate the asymmetric EPR steering schemes between two subsystems of multipartite entangled states by an asymmetric modulation method. Two schemes, including tripartite entangled state to bipartite steering and quadripartite entangled state to tripartite steering, are investigated. By reconstructing the covariance matrix of continuous variable multipartite Gaussian states, we quantify the steerability of manipulating two different subsystems and demonstrate the EPR steering parameter versus various types of states’ parameters. Our work provides a reference for asymmetric quantum information processing and enriches resources for secure quantum networks.
In this paper, we present a coherent feedback loop scheme to enhance the magnon-photon-phonon entanglement in cavity magnomechanics. We provide a proof that the steady state and dynamical state of the system form a genuine tripartite entanglement state. To quantify the entanglement in the bipartite subsystem and the genuine tripartite entanglement, we use the logarithmic negativity and the minimum residual contangle, respectively, in both the steady and dynamical regimes. We demonstrate the feasibility of our proposal by implementing it with experimentally realizable parameters to achieve the tripartite entanglement. We also show that the entanglement can be significantly improved with coherent feedback by appropriately tuning the reflective parameter of the beam splitter and that it is resistant to environmental thermalization. Our findings pave the way for enhancing entanglement in magnon-photon-phonon systems and may have potential applications in quantum information.