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arXiv:2203.13727 · Chinese Physics B

High-fidelity topological quantum state transfers in a cavity–magnon system

Xi-Xi Bao, Gang-Feng Guo, Yang Xu, Lei Tan

Published Mar 14, 2023• 5 citations
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Abstract

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.

DOI
10.1088/1674-1056/acc3f6

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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.
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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.
As is well known, within the single-excitation subspace, the Su-Schrieffer-Heeger (SSH) model exhibits a remarkable ability to transfer an excitation from one end of the lattice to the other. In this work, by relaxing the restriction of the single excitation, we find that a topological channel formed by the topological edge modes of the SSH model can also realize the transfer of arbitrary Gaussian states. Specifically, we investigate the state transfer process within a one-dimensional (1D) optomechanical lattice, which can be mapped to the SSH model with tunable coupling strength. By initially preparing the first optical mode in a squeezed vacuum state and adiabatically varying the system parameters over a full cycle, the squeezed vacuum state can be transferred to the NthN\mathrm{th}Nth mechanical mode. Furthermore, we extend our investigation to the transfer of arbitrary Gaussian states. Since Gaussian states can be described by the covariance matrix of the system, we reformulate the evolution equation of the covariance matrix in a Schr\"odinger-type equation. This reformulation provides us with an intuitive way to show how an arbitrary Gaussian state is transferred. Our work broadens the application of topological systems for quantum state transfer, demonstrating that not only single-excitation states but also arbitrary Gaussian states, which include multiple excitations and quantum coherence, can be efficiently transferred, with potential implications for quantum information processing.
Abstract Information transfer between different nodes, particularly parallel information transfer, is fundamental to the realization of quantum networks. In this paper, we propose a scheme for implementing a quantum information parallel transfer that utilizes multimode cat state encoding within a cavity-magnon system. The quantum information parallel transfer module consists of four cavities, each containing a YIG sphere. Our findings indicate that by adjusting the coupling strength and detuning between the magnons and the cavities, the encoded information can be transferred from one pair of cavities to another with high fidelity. The model presented in this study has the potential to serve as a framework for the development of ring networks or one-dimensional cavity chain structures.
We propose schemes to realize robust quantum states transfer between distant resonators using the topological edge states of a one-dimensional circuit quantum electrodynamics (QED) lattice. Analyses show that the distribution of edge states can be regulated accordingly with the on-site defects added on the resonators. And we can achieve different types of quantum state transfer without adjusting the number of lattices. Numerical simulations demonstrate that the on-site defects can be used as a change-over switch for high-fidelity single-qubit and two-qubit quantum states transfer. This work provides a viable prospect for flexible quantum state transfer in solid-state topological quantum system.