Implementation of quantum gates by Floquet analysis of kicked quantum system

• URL: http://arxiv.org/abs/2609.02372v1
• Date: Wed, 02 Sep 2026 09:44:28 GMT
• Title: Implementation of quantum gates by Floquet analysis of kicked quantum system
• Abstract summary: We synthesise high-fidelity quantum operations within an extended superconducting linear chain, scaling from three to seven sites.<n>We benchmark stability under realistic imperfections, revealing a heightened sensitivity to static parameter disorder at the sub-percent level.<n>This framework bridges time-periodic control theory and practical quantum gate engineering.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Precise control of multi-qubit architectures remains a critical bottleneck in superconducting quantum processors. In this work, we investigate the synthesis of high-fidelity quantum operations and state transfer protocols within an extended superconducting linear chain, scaling from three to seven sites. Using Floquet theory, we model the periodic drive as a train of delta-like pulses, mapping the quantum control problem onto quasi-energy resonance conditions. Combining the Baker-Campbell-Hausdorff expansion with Floquet spectral decomposition, we analytically identify optimal driving parameters, refined via the Covariance Matrix Adaptation Evolution Strategy (CMA-ES). In the three-qubit architecture, this enables high-fidelity synthesis of the iSWAP gate. Extending to a seven-site chain, we implement periodic trains of finite-width Gaussian pulses to activate distinct double-excitation transport channels with ultra-short gate durations t_gate (~170 ns). This achieves a clear scale separation from energy-relaxation times (T1) typical of fixed-frequency transmon devices with tunable couplers, such as IBM Quantum hardware. Finally, we benchmark stability under realistic imperfections, revealing a heightened sensitivity to static parameter disorder at the sub-percent level (eta ~ 10^-3) driven by spectral crowding, and discuss how closed-loop topologies could mitigate this constraint. This framework bridges time-periodic control theory and practical quantum gate engineering.

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