TaiDN-Q: A Noise-Aware Quantum Experiment Runtime for Adaptive Structured Quantum Execution

We introduce TaiDN-Q, a noise-aware quantum experiment runtime designed for adaptive structured quantum execution on NISQ-era quantum hardware. The framework integrates Information Dynamical Algebra (IDA), tensor-based structured representations, graph parameterized Hamiltonian compilation, adaptive noise modeling, backend independent execution, and reproducible experimental orchestration into a unified scientific runtime architecture. Rather than proposing a universal physical theory, TaiDN-Q is formulated as an experimentally executable infrastructure for transforming structured mathematical systems into adaptive quantum experiments under realistic noisy hardware conditions. The framework defines: • a structured information-dynamical representation layer, • a tensor-to-graph compilation pipeline, • Hamiltonian-based quantum execution, • adaptive noise-aware runtime evolution, • and reproducible benchmark-oriented experiment orchestration. TaiDN-Q extends the Quantum Gateways (QGR) execution architecture toward adaptive runtime-oriented quantum experimentation on IBM Quantum and simulator backends. The framework does not claim quantum supremacy, fault tolerance, emergent spacetime, or universal quantum advantage. Instead, it focuses on executable, observable, adaptive, and reproducible scientific quantum experimentation.