Kinetic inductance coupling for circuit QED with spins

• URL: http://arxiv.org/abs/2502.07605v1
• Date: Tue, 11 Feb 2025 14:53:58 GMT
• Title: Kinetic inductance coupling for circuit QED with spins
• Authors: S. Günzler, D. Rieger, M. Spiecker, T. Koch, G. A. Timco, R. E. P. Winpenny, I. M. Pop, W. Wernsdorfer,
• Abstract summary: We demonstrate longitudinal coupling between a molecular spin qubit ensemble and a granular aluminum superconducting microwave resonator. The inherent frequency-independence of this coupling allows for the utilization of a 7.8 GHz readout resonator. We propose a path towards longitudinal coupling of single spins to a superconducting fluxonium qubit.
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• Abstract: In contrast to the commonly used qubit resonator transverse coupling via the $\sigma_{xy}$-degree of freedom, longitudinal coupling through $\sigma_z$ presents a tantalizing alternative: it does not hybridize the modes, eliminating Purcell decay, and it enables quantum-non-demolishing qubit readout independent of the qubit-resonator frequency detuning. Here, we demonstrate longitudinal coupling between a {Cr$_7$Ni} molecular spin qubit ensemble and the kinetic inductance of a granular aluminum superconducting microwave resonator. The inherent frequency-independence of this coupling allows for the utilization of a 7.8 GHz readout resonator to measure the full {Cr$_7$Ni} magnetization curve spanning 0-600 mT, corresponding to a spin frequency range of $f_\text{spin}=$0-15 GHz. For 2 GHz detuning from the readout resonator, we measure a $1/e$ spin relaxation time $\tau=$0.38 s, limited by phonon decay to the substrate. Based on these results, we propose a path towards longitudinal coupling of single spins to a superconducting fluxonium qubit.

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