Analytically Solvable Robust Single-Qubit Gates for Multi-Qubit Systems with Unwanted Couplings

• URL: http://arxiv.org/abs/2503.12424v1
• Date: Sun, 16 Mar 2025 09:33:23 GMT
• Title: Analytically Solvable Robust Single-Qubit Gates for Multi-Qubit Systems with Unwanted Couplings
• Authors: Junkai Zeng, Lin Chen, Xiu-Hao Deng,
• Abstract summary: Couplings between qubits can induce crosstalk errors that degrade single-qubit gate fidelity.<n>We present a novel non-perturbative framework for constructing high-fidelity single-qubit gates in the presence of unwanted couplings.
• Score: 5.169264860833405
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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