Abstract

The germanium (Ge) hut wire system has strong spin–orbit coupling, a long coherence time due to a very large heavy-light hole splitting, and the advantage of site-controlled large-scale hut wire positioning. These properties make the Ge hut wire a promising candidate for the realization of strong coupling of spin to superconducting resonators and scalability for multiple qubit coupling. We have coupled a reflection line resonator to a hole double quantum dot (DQD) formed in Ge hut wire. The amplitude and phase responses of the microwave resonator revealed that the charge stability diagrams of the DQD are in good agreement with those obtained from transport measurements. The DQD interdot tunneling rate is shown to be tunable from 6.2 GHz to 8.5 GHz, which demonstrates the ability to adjust the frequency detuning between the qubit and the resonator. Furthermore, we achieved a hole–resonator coupling strength of up to 15 MHz, with a charge qubit decoherence rate of 0.28 GHz. Meanwhile the hole spin–resonator coupling rate was estimated to be 3 MHz. These results suggest that holes of a DQD in a Ge hut wire are dipole coupled to microwave photons, potentially enabling tunable hole spin–photon interactions in Ge with an inherent spin–orbit coupling.

Highlights

  • The spin qubit formed by electrons trapped in silicon (Si) quantum dots has been recognized as a highly promising candidate for quantum computing because of its long coherence time and compatibility with mature semiconductor technology [1, 2]

  • The double quantum dot (DQD) charge stability diagrams extracted from measurements of the amplitude and phase of a microwave tone reflected from the resonator are in good agreement with those obtained from transport measurements

  • The charge stability diagrams of the DQD obtained from the amplitude and phase of a microwave tone reflected from the resonator were demonstrated, and we obtained a tunable interdot tunneling rate ranging from 6.2 GHz to 8.5 GHz

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Summary

Introduction

The spin qubit formed by electrons trapped in silicon (Si) quantum dots has been recognized as a highly promising candidate for quantum computing because of its long coherence time and compatibility with mature semiconductor technology [1, 2]. To realize a tunable coherent spin-photon interaction, the architecture of a DQD dipole coupled to a resonator is preferable Such hybrid devices have been implemented using a variety of materials, including Si [8, 9], GaAs [10, 31], carbon nanotubes [32, 33], graphene [34, 35], InAs nanowires [36, 37], InSb nanowires [38], and Ge/Si core/shell nanowires [39]. We estimated the spin–resonator coupling strength and demonstrated the tunability of the DQD interdot tunnel coupling

Experimental setup
Resonator responses and charge stability diagrams of the DQD
Estimation of the spin-resonator coupling rate
The VM-dependent interdot tunneling rate
Conclusions
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