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Physical Review Applied

Fast and controllable topological excitation transfers in hybrid magnon-photon systems

Jin‐Xuan Han, Jin‐Lei Wu, Zhonghui Yuan, Yongjian Chen, Yan Xia, Yongyuan Jiang, Jie Song

Published Jan 29, 2024• 16 citations
Publisher

Abstract

Hybridized magnonic-photonic systems are key components for future information-processing technologies such as storage, manipulation, or conversion of data in the quantum regime owing to its ability to achieve collective excitation of spin waves and excellent properties of low damping rate, high spin density, and highly tunable excitations. We propose to realize fast and controllable topological single- and multiexcitation quantum state transfers (QSTs) through a magnon-circuit-QED chain. Various time-dependent magnon-photon and photon-photon couplings are tailored via the Kerr nonlinearity of the magnons and superconducting quantum interference devices, which are implemented fast magnon-magnon excitation transfers by mapping the system to a Su-Schrieffer-Heeger model. We analytically derive the edge state of the system, qualitatively explain the mechanism of fast QST, and numerically show the robustness of QST against on-site potential defects, the fluctuation of couplings, and losses of the system. Furthermore, when larger on-site defects are added to different types of lattice sites in the two ends, alternative single-excitation controllable magnon-photon, photon-magnon, and photon-photon transfers are also accessible. Our work opens up prospects for realizing a fast and controllable quantum channel in magnon-circuit-QED system and for facilitating further applications of topological matter in robust quantum information processing in magnonics and photonics.

DOI
10.1103/physrevapplied.21.014057

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Hybridized magnonic-photonic systems are key components for future information-processing technologies such as storage, manipulation, or conversion of data in the quantum regime owing to its ability to achieve collective excitation of spin waves and excellent properties of low damping rate, high spin density, and highly tunable excitations. We propose to realize fast and controllable topological single- and multiexcitation quantum state transfers (QSTs) through a magnon-circuit-QED chain. Various time-dependent magnon-photon and photon-photon couplings are tailored via the Kerr nonlinearity of the magnons and superconducting quantum interference devices, which are implemented fast magnon-magnon excitation transfers by mapping the system to a Su-Schrieffer-Heeger model. We analytically derive the edge state of the system, qualitatively explain the mechanism of fast QST, and numerically show the robustness of QST against on-site potential defects, the fluctuation of couplings, and losses of the system. Furthermore, when larger on-site defects are added to different types of lattice sites in the two ends, alternative single-excitation controllable magnon-photon, photon-magnon, and photon-photon transfers are also accessible. Our work opens up prospects for realizing a fast and controllable quantum channel in magnon-circuit-QED system and for facilitating further applications of topological matter in robust quantum information processing in magnonics and photonics.
We propose a scheme for realizing high-fidelity topological state transfer via the topological edge states in a one-dimensional cavity–magnon system. It is found that the cavity–magnon system can be mapped analytically into the generalized Su–Schrieffer–Heeger model with tunable cavity–magnon coupling. It is shown that the edge state can be served as a quantum channel to realize the photonic and magnonic state transfers by adjusting the coupling strength between adjacent cavity modes. Further, our scheme can realize the quantum state transfer between photonic state and magnonic state by changing the cavity–magnon coupling strength. With the numerical simulation, we quantitatively show that the photonic, magnonic and magnon-to-photon state transfers can be achieved with high fidelity in the cavity–magnon system. Spectacularly, three different types of quantum state transfer schemes can be even transformed into each other in a controllable fashion. The Su–Schrieffer–Heeger model based on the cavity–magnon system provides us a tunable platform to engineer the transport of photon and magnon, which may have potential applications in topological quantum processing.
Robust quantum state transfer (QST) is an indispensable ingredient in scalable quantum information processing. Here we present an experimentally feasible scheme for robust QST via topologically protected edge states in superconducting circuits. Using superconducting X-mon qubits with tunable couplings, the generalized Su-Schrieffer-Heeger models with topological magnon bands can be constructed. A novel entanglement-dependent topological Thouless pumping can be directly observed in this system. More importantly, we show that single-qubit states and entanglement can be robustly transferred with high fidelity in the presence of qubit-coupling imperfection, which is a hallmark of topological protection. This approach is experimentally applicable to a variety of quantum systems.
Robust quantum state transfer (QST) is an indispensable ingredient in scalable quantum information processing. Here we present an experimentally feasible mechanism for realizing robust QST via topologically protected edge states in superconducting qubit chains. Using superconducting Xmon qubits with tunable couplings, we construct generalized Su-Schrieffer-Heeger models and analytically derive the wave functions of topological edge states. We find that such edge states can be employed as a quantum channel to realize robust QST between remote qubits. With a numerical simulation, we show that both single-qubit states and two-qubit entangled states can be robustly transferred in the presence of sizable imperfections in the qubit couplings. The transfer fidelity demonstrates a wide plateau at the value of unity in the imperfection magnitude. This approach is general and can be implemented in a variety of quantum computing platforms.
Coupled microwave photon-magnon hybrid systems offer promising applications by harnessing various magnon physics. At present, in order to realize high coupling strength between the two subsystems, bulky ferromagnets with large spin numbers are utilized, which limits their potential applications for scalable quantum information processing. By enhancing single spin coupling strength using lithographically defined superconducting resonators, we report high cooperativities between a resonator mode and a Kittel mode in nanometer thick Permalloy wires. The on-chip, lithographically scalable, and superconducting quantum circuit compatible design provides a direct route towards realizing hybrid quantum systems with nanomagnets, whose coupling strength can be precisely engineered and dynamic properties can be controlled by various mechanisms derived from spintronic studies.
Topological pumping of edge states in the finite lattice with nontrivial topological phases provides a powerful means for robust excitation transfer, requiring extremely slow evolution to follow an adiabatic transfer. Here, we propose fast topological pumping via edge channels to generate large-scale Greenberger-Horne-Zeilinger (GHZ) states in a topological superconducting circuit with a sped-up evolution process. The scheme indicates a conceptual way of designing fast topological pumping related to the instantaneous energy spectrum characteristics rather than relying on the shortcuts to adiabaticity. Based on fast topological pumping, large-scale GHZ states show greater robustness against on-site potential defects, the fluctuation of couplings and losses of the system in comparison with the conventional adiabatic topological pumping. With experimentally feasible qutrit-resonator coupling strengths and moderate decay rates of qutrits and resonators, fast topological pumping drastically improves the scalability of GHZ states with a high fidelity. Our work opens up prospects for the realization of large-scale GHZ states based on fast topological pumping in the superconducting quantum circuit system, which provides potential applications of topological matters in quantum information processing.
Rigidity of an ordered phase in condensed matter results in collective excitation modes spatially extending in macroscopic dimensions. Magnon is a quantum of an elementary excitation in the ordered spin system, such as ferromagnet. Being low dissipative, dynamics of magnons in ferromagnetic insulators has been extensively studied and widely applied for decades in the contexts of ferromagnetic resonance, and more recently of Bose-Einstein condensation as well as spintronics. Moreover, towards hybrid systems for quantum memories and transducers, coupling of magnons and microwave photons in a resonator have been investigated. However, quantum-state manipulation at the single-magnon level has remained elusive because of the lack of anharmonic element in the system. Here we demonstrate coherent coupling between a magnon excitation in a millimetre-sized ferromagnetic sphere and a superconducting qubit, where the interaction is mediated by the virtual photon excitation in a microwave cavity. We obtain the coupling strength far exceeding the damping rates, thus bringing the hybrid system into the strong coupling regime. Furthermore, we find a tunable magnon-qubit coupling scheme utilising a parametric drive with a microwave. Our approach provides a versatile tool for quantum control and measurement of the magnon excitations and thus opens a new discipline of quantum magnonics.