Spin-Orbit Interaction Enabled High-Fidelity Two-Qubit Gates

• URL: http://arxiv.org/abs/2308.06986v4
• Date: Mon, 23 Oct 2023 08:10:04 GMT
• Title: Spin-Orbit Interaction Enabled High-Fidelity Two-Qubit Gates
• Authors: Jiaan Qi, Zhi-Hai Liu and H. Q. Xu
• Abstract summary: We study the implications of spin-orbit interaction (SOI) for two-qubit gates (TQGs) in semiconductor spin qubit platforms. We develop a computational Hamiltonian that captures the essence of SOI, and use it to derive properties of the rotating-frame time evolutions. We discover and discuss novel two-qubit dynamics that are inaccessible without SOI.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the implications of spin-orbit interaction (SOI) for two-qubit gates (TQGs) in semiconductor spin qubit platforms. SOI renders the exchange interaction governing qubit pairs anisotropic, posing a serious challenge for conventional TQGs derived for the isotropic Heisenberg exchange. Starting from microscopic level, we develop a concise computational Hamiltonian that captures the essence of SOI, and use it to derive properties of the rotating-frame time evolutions. Two key findings are made. First, for the controlled-phase/controlled-Z gate, we show and analytically prove the existence of ``SOI nodes'' where the fidelity can be optimally enhanced, with only slight modifications in terms of gate time and local phase corrections. Second, we discover and discuss novel two-qubit dynamics that are inaccessible without SOI -- the reflection gate and the direct controlled-not gate. The relevant conditions and achievable fidelities are studied for the direct controlled-not gate.

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