Analytically Solvable Robust Single-Qubit Gates for Multi-Qubit Systems with Unwanted Couplings
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915200140050432 |
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| author | Zeng, Junkai Chen, Lin Deng, Xiu-Hao |
| author_facet | Zeng, Junkai Chen, Lin Deng, Xiu-Hao |
| contents | Couplings between qubits, while essential for generating multi-qubit entanglement, can induce crosstalk errors that significantly degrade single-qubit gate fidelity. In this paper, we present a novel non-perturbative analytical framework for constructing high-fidelity single-qubit gates in the presence of unwanted couplings. By uncovering a geometric structure in SU(2) dynamics, we derive a crosstalk suppression condition: The dynamics must trace a closed loop on the surface of a 2-sphere with net-zero enclosed area, with the pulse waveform corresponding to the geodesic curvature of the loop. This method integrates seamlessly with noise-resilient optimization techniques. Numerical examples demonstrate its efficacy, achieving high-fidelity single-qubit gates in two- and three-qubit systems with strong couplings beyond the perturbative regime while remaining robust to fluctuating noise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analytically Solvable Robust Single-Qubit Gates for Multi-Qubit Systems with Unwanted Couplings Zeng, Junkai Chen, Lin Deng, Xiu-Hao Quantum Physics Couplings between qubits, while essential for generating multi-qubit entanglement, can induce crosstalk errors that significantly degrade single-qubit gate fidelity. In this paper, we present a novel non-perturbative analytical framework for constructing high-fidelity single-qubit gates in the presence of unwanted couplings. By uncovering a geometric structure in SU(2) dynamics, we derive a crosstalk suppression condition: The dynamics must trace a closed loop on the surface of a 2-sphere with net-zero enclosed area, with the pulse waveform corresponding to the geodesic curvature of the loop. This method integrates seamlessly with noise-resilient optimization techniques. Numerical examples demonstrate its efficacy, achieving high-fidelity single-qubit gates in two- and three-qubit systems with strong couplings beyond the perturbative regime while remaining robust to fluctuating noise. |
| title | Analytically Solvable Robust Single-Qubit Gates for Multi-Qubit Systems with Unwanted Couplings |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2503.12424 |