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Physica Scripta

Shortcut-based generation of transmon-magnon entangled states

Run‐Ying Yan, Zhi‐Bo Feng

Published Dec 28, 2023• 2 citations
Publisher

Abstract

Abstract Optimized generation of entangled states between solid-state qubits is of fundamental significance to quantum information science and technology. Here, we develop an effective scheme to fast and robustly create the entangled states in a hybrid system containing a superconducting transmon qubit and a spin magnon of yttrium iron garnet. The transmon qubit and the magnon system are coupled via a microwave cavity field. Within the framework of invariant-based shortcuts to adiabaticity, the transmon-magnon entangled states can be rapidly induced by engineering the Rabi couplings between the cavity mode and transmon (magnon) with constant amplitudes. Compared with a non-shortcut counterpart, the shortcut-based operations of interest not only considerably shorten the generation time, but also greatly mitigate the decoherence effects. Furthermore, the fast dynamics is well insensitive to the control deviation of Rabi couplings. Thus our approach could lead to advances in information processing and state engineering with composite systems.

DOI
10.1088/1402-4896/ad195a

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Abstract We propose an efficient protocol for rapidly generating quantum entangled states between a transmon qubit and microwave photons via shortcuts to adiabaticity. For a dispersive coupling between the qubit and cavity mode, three composite qubit-photon states constitute our system. Two microwave drivings are applied to the three-level system, leading to a Λ-type interaction. Based on shortcut-like quantum state transfer, the maximally entangled states can be controllably generated in a non-adiabatic manner. We address the dependence of the needed time for generating entangled states on the Rabi couplings, and further analyse the robustness of quantum operations. The present scheme opens up an opportunity for fast creating entangled states of the superconducting qubit-cavity systems.
Abstract Fast generation of entanglement states is of critical importance for robust quantum information processing. In this paper, we propose an efficient protocol for a rapidly generating entanglement state between a transmon qubit and microwave photons. The transmon system is coupled to a classical microwave driving and a quantized cavity mode. With the adjustable classical driving, we consider the entanglement creation by transferring the composite states via resonant driving. Compared with the non-resonant cases, the present operation can be accomplished in a shorter time, which thus contributes to mitigating the decoherence effects. Moreover, many transmons inside a common cavity field could be addressed in a scalable way. The proposed strategy could offer a promising approach to optimally prepare entanglement states with superconducting quantum systems.
Abstract Optimal generation of photon Fock states is of significance to quantum science and technology. Here we develop a theoretical scheme for fast generating microwave photon Fock states in a circuit quantum electrodynamics (QED) via invariant-based shortcuts to adiabaticity. A superconducting transmon qubit is dispersively coupled to a cavity field of transmission line resonator. Two classical drivings are applied to a composite system, consisting of a transmon qubit and cavity field. In the two-photon resonance with a large intermediate-level detuning, a single-photon Fock state can be fast created by inversely engineering Rabi couplings. With the assistance of auxiliary driving, qubit state can be initialized for inducing multi-photon Fock states in the shortcut manner. Due to negligible leakage effects and high robustness, our scheme offers a potential way to rapidly prepare photon Fock states with a superconducting qubit in circuit QED.
We investigate dynamical generation of macroscopic nonlocal entanglements between two remote massive magnon-superconducting-circuit hybrid systems. Two fiber-coupled microwave cavities are employed to serve as an interaction channel connecting two sets of macroscopic hybrid units, each containing a magnon (hosted by an yttrium-iron-garnet sphere) and a superconducting-circuit qubit. Surprisingly, it is found that stronger coupling does not necessarily mean faster entanglement generation. The proposed hybrid system allows the existence of an optimal fiber coupling strength that requires the shortest amount of time to generate a systematic maximal entanglement. Our theoretical results are shown to be within the scope of specific parameters that can be achieved with current technology. The noise effects on the implementation of systems are also treated in a general environment, suggesting the robustness of entanglement generation. Our discrete-variable qubit-like entanglement theory of magnons may lead to direct applications in various quantum information tasks.
Optimal preparation of quantum entanglement is of significance to information processing and state engineering. In this paper, an efficient scheme is proposed to implement error-insensitive generation of entangled states between a Josephson qubit and microwave photons by the technique of invariant-based shortcuts to adiabaticity. A superconducting qubit is dispersively coupled to a quantized cavity field of one-dimensional transmission line resonator. Within a considered subspace spanned by three composite states, we deal with an effective interaction of the composite system with two classical drivings. A maximally entangled qubit-photon state can be deterministically induced using a splitting-like quantum state transfer. To nullify the deviation errors of Rabi coupling and frequency detuning, we optimize the driving parameters and then make the entanglement creation insusceptible to these control imperfections. Thanks to the mitigation of deviation effects, robustness against the residual noisy environment could be obtained numerically. The proposed strategy could provide a promising avenue towards fast and robust information processing with superconducting circuit quantum electrodynamics.