Hybrid Quantum Technologies for Strontium Ion Systems: Bath Engineering and Decoherence Suppression Protocols

Trapped-ion quantum computing with strontium ions (Sr⁺) offers high-fidelity qubit operations and scalability, yet decoherence severely limits coherence times (T₂). This preprint introduces a theoretical framework and QuTiP-based simulations for decoherence suppression via bath engineering. We address Lindblad equation errors, such as improper collapse operator scaling, achieving enhanced accuracy. The BDMP v2.0 protocol delivers 0.9706 fidelity over 12 seconds (effective T₂ = 100 s, extendable >100 s). Hybrid ion-superconductor systems incorporate Majorana zero modes (MZM) for topological protection and HEOM for non-Markovian noise, yielding up to 0.9838 fidelity. These advances align with 2025 ion-trap benchmarks, enabling fault-tolerant quantum networks.