Here we explore the potential for driving entanglement between spatially-separated flopping-mode spin qubits dispersively coupled to a common photonic mode of a superconducting resonator. We propose a scheme for synchronizing single-qubit rotations with a cross-resonance drive to realize a spin-based direct-CNOT[1]. This simultaneous evolution yields gate-times within the entanglement time of the cross-resonance gate. The average gate fidelity (>90%) is calculated in the presence of cavity loss, electron-phonon interaction, and general spin-dephasing. We then extend our analysis of the direct-CNOT to discuss opportunities for driving three-qubit entanglement in spin-based platforms.
[1] S. R. McMillan et al., arXiv:2207.13588 (2022)
Individual magnetic impurities or small collections of magnetic impurities in III-V semiconductors can be identified via scanning tunneling microscopy (STM) [1,2], their exchange interaction can be measured [3], and they can have remarkably long spin coherence times [4]. Spin-1/2 impurities are able to be addressed individually and the eigenstates tailored allowing the construction of engineered spin networks [5]. We describe an approach to explore the coherent spin dynamics of a spin-1/2 defect coupled to an additional spin-1/2 defect via exchange interaction with a spin-polarized STM contact through low-field magnetoresistance. The inherent anisotropy [2,3,5,6] in conjunction with the applied magnetic field should allow one to describe a single spin Hanle curve. In addition, measurements of the spin coherence time and the local hyperfine interaction should be feasible. This analysis is then used to guide the examination of coherent spin-dynamics involving coupled Mn-hole complexes in III-V semiconductors.
[1] J. M. Tang and M. E. Flatté, Phys. Rev. Lett. 92, 047201 (2004).
[2] A. M. Yakunin et al., Phys. Rev. Lett. 92, 216806 (2004).
[3] D. Kitchen et al., Nature 442, 436 (2006).
[4] R. C. Myers et al., Nature Materials 7, 203 (2008).
[5] K. Yang et al., Phys. Rev. Lett. 119, 227206 (2017).
[6] R. E. George et al., Phys. Rev. Lett. 110, 027601 (2013).
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