Resonator-assisted quantum transduction between superconducting qubits and trapped atomic systems via Rydberg levels

Phys. Rev. Res. 7, 033210 (2025) · DOI: 10.1103/j4bk-tvhc

License: CC BY 4.0.

Abstract

Using a shared microwave resonator, we propose a transduction scheme between superconducting qubits and qubit states encoded in the low-lying internal levels of trapped atomic systems. The approach employs atomic Rydberg levels together with laser pulses that connect them to the low-lying qubit states. We explore two coupling protocols: one based on resonant interactions between the subsystems and another operating in the dispersive regime, where the resonator is far detuned from the transition frequencies of the matter qubits. These protocols enable the transfer of a general qubit state from the superconducting qubit to the atomic qubit. Transfer fidelity is evaluated across different coupling regimes and under various sources of dissipation and decoherence, including resonator decay, Rydberg state decay, and both relaxation and pure dephasing of the superconducting qubit, providing a detailed assessment of the performance of the proposed scheme.

Figures

18 panels with data across 9 figures. Each panel page shows the plot, its columns and its files; each data.csv begins with a header naming the paper, the panel, the source, the license and the provenance route.

Fig. 1

Illustrative figure, no extractable data. Shown in the paper PDF. Page 2 of the PDF.

Fig. 2

• panel (1): Fidelity of the resonant protocol at $t = \tau_R + T_R$, coloured over the Bloch sphere of superconducting-qubit input states (polar angle $\theta$, azimuth $\varphi$), at $\Omega/\lambda = 0.6$ (top panel of the printed figure). The colour scale runs from 0.55 to 1, the range of the printed colour bar. data.csv
• panel (2): Fidelity of the resonant protocol at $t = \tau_R + T_R$, coloured over the Bloch sphere of superconducting-qubit input states (polar angle $\theta$, azimuth $\varphi$), at $\Omega/\lambda = 1$ (bottom panel of the printed figure). The colour scale runs from 0.55 to 1, the range of the printed colour bar. data.csv

Fig. 3

• panel (1): Quantities against time ($\mu$s) for the resonant protocol from $\theta = 0$ at $\Omega/\lambda = 0.6$ (top panel of the printed figure): fidelity $F$ (solid black), mean resonator photon number $\langle a^{\dagger}a\rangle$ (dashed purple), and the populations $P_e$ (dash-dotted red) and $P_g$ (dotted blue). data.csv
• panel (2): Quantities against time ($\mu$s) for the resonant protocol from $\theta = 0$ at $\Omega/\lambda = 3$ (bottom panel of the printed figure): fidelity $F$ (solid black), mean resonator photon number $\langle a^{\dagger}a\rangle$ (dashed purple), and the populations $P_e$ (dash-dotted red) and $P_g$ (dotted blue). data.csv

Fig. 4

• panel (1): Quantities against time ($\mu$s) for the resonant protocol from $\theta = \pi/2$, $\varphi = 0$ at $\Omega/\lambda = 0.6$ (top panel of the printed figure): fidelity $F$ (solid black), mean resonator photon number $\langle a^{\dagger}a\rangle$ (dashed purple), and the populations $P_e$ (dash-dotted red) and $P_g$ (dotted blue). data.csv
• panel (2): Quantities against time ($\mu$s) for the resonant protocol from $\theta = \pi/2$, $\varphi = 0$ at $\Omega/\lambda = 3$ (bottom panel of the printed figure): fidelity $F$ (solid black), mean resonator photon number $\langle a^{\dagger}a\rangle$ (dashed purple), and the populations $P_e$ (dash-dotted red) and $P_g$ (dotted blue). data.csv

Fig. 5

• panel (1): Fidelity of the dispersive protocol at $t = \tau_D + T_D$, coloured over the Bloch sphere of superconducting-qubit input states (polar angle $\theta$, azimuth $\varphi$), at $\delta = 6\lambda$ (top panel of the printed figure). The colour scale runs from 0.95 to 1, the range of the printed colour bar. data.csv
• panel (2): Fidelity of the dispersive protocol at $t = \tau_D + T_D$, coloured over the Bloch sphere of superconducting-qubit input states (polar angle $\theta$, azimuth $\varphi$), at $\delta = 12\lambda$ (bottom panel of the printed figure). The colour scale runs from 0.95 to 1, the range of the printed colour bar. data.csv

Fig. 6

• panel (1): Quantities against time ($\mu$s) for the dispersive protocol from $\theta = 0$ at $\delta = 6\lambda$ (top panel of the printed figure): fidelity $F$ (solid black), mean resonator photon number $\langle a^{\dagger}a\rangle$ (dashed purple), and the populations $P_e$ (dash-dotted red) and $P_g$ (dotted blue). data.csv
• panel (2): Quantities against time ($\mu$s) for the dispersive protocol from $\theta = 0$ at $\delta = 12\lambda$ (bottom panel of the printed figure): fidelity $F$ (solid black), mean resonator photon number $\langle a^{\dagger}a\rangle$ (dashed purple), and the populations $P_e$ (dash-dotted red) and $P_g$ (dotted blue). data.csv

Fig. 7

• panel (1): Quantities against time ($\mu$s) for the dispersive protocol from $\theta = \pi/2$, $\varphi = 0$ at $\delta = 6\lambda$ (top panel of the printed figure): fidelity $F$ (solid black), mean resonator photon number $\langle a^{\dagger}a\rangle$ (dashed purple), and the populations $P_e$ (dash-dotted red) and $P_g$ (dotted blue). data.csv
• panel (2): Quantities against time ($\mu$s) for the dispersive protocol from $\theta = \pi/2$, $\varphi = 0$ at $\delta = 12\lambda$ (bottom panel of the printed figure): fidelity $F$ (solid black), mean resonator photon number $\langle a^{\dagger}a\rangle$ (dashed purple), and the populations $P_e$ (dash-dotted red) and $P_g$ (dotted blue). data.csv

Fig. 8

• panel (1): Fidelity of the resonant protocol as a surface over the resonator coupling strength $\lambda/\kappa$ and the laser Rabi frequency $\Omega/\kappa$, for the noisy case, from $\theta = 0$ (upper panel of the printed figure). As printed, only the part of the surface above a fidelity of 0.75 is drawn. data.csv
• panel (2): Fidelity of the dispersive protocol as a surface over the resonator coupling strength $\lambda/\kappa$ and the laser Rabi frequency $\Omega/\kappa$, for the noisy case, from $\theta = 0$ at $\delta = 12\lambda$ (bottom panel of the printed figure). As printed, only the part of the surface above a fidelity of 0.75 is drawn. data.csv

Fig. 9

• panel (1): Fidelity of the resonant protocol as a surface over the resonator coupling strength $\lambda/\kappa$ and the laser Rabi frequency $\Omega/\kappa$, for the noisy case, from $\theta = \pi/2$, $\varphi = 0$ (upper panel of the printed figure). As printed, only the part of the surface above a fidelity of 0.75 is drawn. data.csv
• panel (2): Fidelity of the dispersive protocol as a surface over the resonator coupling strength $\lambda/\kappa$ and the laser Rabi frequency $\Omega/\kappa$, for the noisy case, from $\theta = \pi/2$, $\varphi = 0$ at $\delta = 12\lambda$ (bottom panel of the printed figure). As printed, only the part of the surface above a fidelity of 0.75 is drawn. Here the whole surface lies above it. data.csv

Fig. 10

• panel (1): Fidelity against the resonator coupling strength $\lambda/\kappa$ with the resonator starting in vacuum or in a thermal state, from $\theta = 0$ (top panel of the printed figure), four marker series: resonant and dispersive protocols, each for vacuum and for thermal $\bar n = 0.6$. data.csv
• panel (2): Fidelity against the resonator coupling strength $\lambda/\kappa$ with the resonator starting in vacuum or in a thermal state, from $\theta = \pi/2$, $\varphi = 0$ (bottom panel of the printed figure), four marker series: resonant and dispersive protocols, each for vacuum and for thermal $\bar n = 0.6$. data.csv

Cite

Fernando L. Semião, Matthias Keller. Resonator-assisted quantum transduction between superconducting qubits and trapped atomic systems via Rydberg levels. Phys. Rev. Res. 7, 033210 (2025). https://doi.org/10.1103/j4bk-tvhc

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