Adaptive error-mitigated quantum sensing with syndrome-conditioned Bayesian estimation
摘要
Quantum sensing offers precision advantages, but Markovian decoherence limits achievable performance to finite-resource improvements. We propose an adaptive hybrid quantum sensing model (HQSM) that integrates noise-compatible quantum error correction (QEC), syndrome-conditioned Bayesian inference, and adaptive control within a closed-loop framework. We derive a rate-optimal interrogation strategy that maximizes the effective quantum Fisher information (QFI) and introduce a syndrome-conditioned Cramér-Rao bound, showing that conditioning on error syndromes reduces estimation variance without bias. While the underlying convexity relation is known, its integration into adaptive feedback constitutes the key contribution. Simulations based on Lindblad dynamics indicate consistent constant-factor improvements while preserving standard quantum limit (SQL) scaling. HQSM provides a practical and physically consistent approach to quantum sensing under noise conditions.