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Chinese Physics B

Change-over switch for quantum states transfer with topological channels in a circuit-QED lattice

Liu‐Yong Cheng, Li-Na Zheng, Ruixiang Wu, Hong‐Fu Wang, Shou Zhang

Published Oct 13, 2021• 2 citations
Publisher

Abstract

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.

DOI
10.1088/1674-1056/ac2f2e

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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.
Abstract We propose a theoretical scheme for a one-dimensional superconducting circuit lattice system to achieve that topological phase transition and topological multi-channel transfer, which is adjusted by the asymmetric hopping modulations. The system consists of an array of coupled superconducting microwave cavities, the hopping between its can be modulated by the qubits. Here, we explore topological stages by introducing parameters to expand the hopping modulation range. We found that the energy bands in the system exhibit different structural characteristics, which can achieve topological phase switching. Meanwhile, the edge modes can undergo a flipping process, which can not only realize dual-channel topological quantum information transfer, but also can achieve four-channel. Furthermore, it is noted that the defect can induce new topological phases, which can be optimized by adjusting the hopping parameters, while disorder can only cause band fluctuations and inversions, but does not change the position and period of edge states, verifying that the edge state transport is robust. The results obtained in this work can be applied to the storage and transmission of quantum information, and have a guiding role in the future development of quantum technology.
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.
Here we propose an effective scheme to realize robust quantum state transfer (QST) with the topologically protected channel in a superconducting flux qubit chain. Based on the constructed Su-Schrieffer-Heeger model, bidirectional QST between the two ends of the channel can be realized with a high fidelity. Remarkably, we design a switch mechanism of the QST channel by appropriately introducing the on-site defect on the qubit chain. Under this mechanism, we can control robust quantum information transmission or storage and even generate a new state transfer channel.
Compared with a qubit, a qutrit (i.e., three-level quantum system) has a larger Hilbert space and thus can be used to encode more information in quantum information processing and communication. Here, we propose a method to transfer an arbitrary quantum state between two flux qutrits coupled to two resonators. This scheme is simple because it only requires two basic operations. The state-transfer operation can be performed fast because only resonant interactions are used. Numerical simulations show that the high-fidelity transfer of quantum states between the two qutrits is feasible with current circuit-QED technology. This scheme is quite general and can be applied to accomplish the same task for other solid-state qutrits coupled to resonators.
The topological properties of a Heisenberg XYXYXY spin model on the square lattice in the form of a two-dimensional Su-Schrieffer-Heeger model is investigated through the quench dynamics. Based on the topological edge states or the higher-order topological corner states of the square lattice, we propose a scheme to transmit quantum states with high quality, including single-excitation state and entangled state, on square lattices. For the transmission of the single-excitation state, when the square lattice is in the topological phase, the maximum fidelity at the corner sites of the lattice is much larger than that of bulk sites. In addition, it has been found that, due to the different symmetries of the spin ladder and the square lattice, the maximally entangled state can be generated between two qubits when a qubit at the edge of the spin ladder is excited initially, while it cannot be generated between two qubits at the corners of the square lattice. However, the maximally entangled state of two qubits at the edge of the spin ladder or the corners of the lattice can both be transmitted to the two qubits at the other side of the lattices with high quality.
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.