Quantum Control and Simulation of Transmon Qubits

In this work, a unified co-design framework for control and error mitigation is presented for high-fidelity implementation and variational quantum simulation on superconducting transmon platforms. The novelty of this research lies not in presenting a novel error mitigation method independently, but in the systematic integration of optimized DRAG pulses, active reset protocols, and classical post-processing error mitigation techniques-specifically, Measurement Error Mitigation (MEM) and Zero-Noise Extrapolation (ZNE)-within a single variational workflow. Utilizing both multi-level single-transmon(qudit-based) and coupled double-transmon architectures, we demonstrate that residual coherent errors after pulse optimization play a decisive role in the efficacy of classical error mitigation methods and the convergence stability of variational approaches. By adopting a characterization-and-compilation strategy instead of full hardware calibration, intrinsic non-ideal gate operations are integrated into a variational optimization loop, thereby enabling high-fidelity state preparation even in the presence of imperfect control.

کلیدواژه ها:

Transmon ، Qubit ، Variational Quantum Simulation ، Transmon Qubit Hamiltonian