Measurement-based Quantum Computation(MBQC) utilize entanglement as resource for performing quantum computation. Generating cluster state using entanglement as resource is a key bottleneck for the adoption of MBQC. To generate cluster state with charge-qubit arrrays, we provide analytical derivations and numerical validations for 4-qubit cluster state. We compare our fidelities under ideal (noise-free) Hamiltonian evolution and due to effect of decoherence. We show incorporating energy relaxation (T1) yields >90\% fidelity while pure dephasing T2 show 70% decays at fourth harmonics. We further show under noise T2 decays to 50\% within 15 time units, versus >70\% under relaxation time units (T1)--only. This decay quantify degradation effect of T2 on preparing cluster--state preparation is more than T1. We highlight the critical need for targeted error-mitigation strategies in near-term MBQC implementations.
@article{arxiv.2508.21798,
title = {1D Cluster State Generation On Superconducting Hardware},
author = {Rahul Dev Sharma},
journal= {arXiv preprint arXiv:2508.21798},
year = {2025}
}