Repeatable quantum-hardware execution of a fast local-topology surrogate for hyperthermal sarcomeric oscillations

Hyperthermal sarcomeric oscillations (HSOs) are oscillatory states in warmed cardiomyocytes in which rapid local sarcomere-length fluctuations coexist with a slower beat-scale rhythm. Recent HSO reanalyses showed that five consecutive sarcomeres can be reduced to four neighbouring-pair relations, yielding a constrained 16-state local topology with dominant Hamming-1 updates and enriched anti-phase-rich occupancy. Here we asked a deliberately narrower question than whole-cell biological mechanism: can that fast local topology be translated into a minimal quantum-executable surrogate that remains repeatable on real quantum hardware? We encoded the four neighbouring-pair relations of a five-sarcomere segment into a four-qubit basis state, evolved each basis state with a locked nearest-neighbour two-step Trotter kernel, and estimated a biologically linked observable pack with IBM EstimatorV2. The present study was intentionally restricted to a static fast-kernel surrogate and does not claim whole-cell calcium handling, direct disease modelling, or quantum advantage. On ibm_pittsburgh, the locked control_base lane was repeated three times on the same four-qubit layout. The repeat means were weighted stay 0.8506 {+/-} 0.0041, single-link fraction 0.9075 {+/-} 0.0094, anti-phase-rich occupancy 0.4519 {+/-} 0.0022, transition edge proxy 0.5390 {+/-} 0.0052, and Stopo 0.2946 {+/-} 0.0008. Hardware means remained close to the exact surrogate reference, especially for anti-phase-rich occupancy (exact 0.4513) and Stopo (exact 0.2935), and statewise exact-versus-hardware agreement across the 16 initial states was strong (Pearson r = 0.941-1.000, depending on observable). These results establish a repeatable real-hardware bridge for biologically interpretable fast local-topology observables. Physiologically, the retained observables track persistence, minimal local reconfiguration, anti-phase-rich occupancy, mismatch placement, and coarse segment synchrony. Methodologically, the work shows that an experimentally anchored local physiological state space can be executed as a fixed nearest-neighbour quantum workflow without losing its statewise structure. Significance statementThis paper does not claim that four qubits reproduce an entire cardiomyocyte. Its narrower contribution is that a biologically defined fast local coordination layer can be encoded, evolved, and read out on real quantum hardware with repeatable results and interpretable observables. The value is twofold: on the physiology side, it preserves distinctions between local coordination patterns that matter for HSO reconfiguration; on the quantum-hardware side, it demonstrates a non-benchmark workflow whose circuit layout and readout are constrained by biological meaning rather than by a generic test suite.