A constructive diagonalization based on Kleene's recursion theorem shows that deadline-bounded predictors cannot be universally correct in self-referential quantum control loops, and introduces Gödel-safe architectures to block the failure path.
Towards a Digital Twin of Noisy Quantum Computers: Calibration-Driven Emulation of Transmon Qubits
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abstract
We develop a parametric error model to construct a digital twin of a superconducting transmon qubit device. The model parameters are extracted from hardware calibration data and supplementary benchmarking circuits, providing a dynamic, system-specific representation of noise and gate imperfections. Given the strong dependence of qubit performance on calibration procedures, our approach captures real-time device fluctuations. By incorporating predominant noise sources derived from underlying physical processes, we enhance the emulation's accuracy while reducing the data required for model fitting. Finally, we validate our model by comparing its predictions with experimental results from a 5-qubit QPU, achieving a mean total variation distance of 0.15 between the shot distributions. This digital twin can be leveraged for predictive performance analysis, error mitigation strategies, and the optimization of quantum protocols, contributing to more reliable quantum computations.
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quant-ph 1years
2026 1verdicts
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Constructive realization of self-referential prediction limits in quantum control: Resource bounds and G\"odel-safe architectures
A constructive diagonalization based on Kleene's recursion theorem shows that deadline-bounded predictors cannot be universally correct in self-referential quantum control loops, and introduces Gödel-safe architectures to block the failure path.