Spin-Orbit Interaction Enabled High-Fidelity Two-Qubit Gates
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866914636363726848 |
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| author | Qi, Jiaan Liu, Zhi-Hai Xu, H. Q. |
| author_facet | Qi, Jiaan Liu, Zhi-Hai Xu, H. Q. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_06986 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Spin-Orbit Interaction Enabled High-Fidelity Two-Qubit Gates Qi, Jiaan Liu, Zhi-Hai Xu, H. Q. Mesoscale and Nanoscale Physics Quantum Physics 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. |
| title | Spin-Orbit Interaction Enabled High-Fidelity Two-Qubit Gates |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2308.06986 |