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This research proposes a quantum metrology scheme that utilizes partial error correction to suppress local noise while maintaining sensitivity beyond the standard quantum limit. By adapting stabilizer-generator weights, the method balances noise suppression against susceptibility to perpendicular errors, achieving superlinear scaling of quantum Fisher information under specific noise conditions. The approach demonstrates feasibility using local operators on standard codes like repetition and toric lattices without requiring nonlocal connectivity.
Quantum metrology via partial quantum error correction
arXiv:2605.08341v3 Announce Type: replace Abstract: We introduce a quantum metrology scheme in which partial quantum error correction suppresses local noise while preserving sensitivity beyond the standard quantum limit. The probes are superpositions of energetically distinct stabilizer sectors, whose sensing coherence is protected by measuring only a subset of local checks. We propose an adaptive weight strategy to balance two competing effects. Increasing the stabilizer-generator weight suppresses parallel noise to $O(p^{\delta})$, with $\delta$ increasing with the weight, but also increases susceptibility to perpendicular noise. Our main theorem establishes a sufficient noise condition under which adapting this weight to the system size preserves superlinear quantum Fisher information under simultaneous independent $X$ and $Z$ noise. We illustrate this strategy using repetition, Bacon-Shor, and toric codes, and analyze noise both before and after phase imprinting. In all examples, the error-correction checks and phase-imprinting operators are local and require no nonlocal connectivity.
Abstract:We introduce a quantum metrology scheme in which partial quantum error correction suppresses local noise while preserving sensitivity beyond the standard quantum limit. The probes are superpositions of energetically distinct stabilizer sectors, whose sensing coherence is protected by measuring only a subset of local checks. We propose an adaptive weight strategy to balance two competing effects. Increasing the stabilizer-generator weight suppresses parallel noise to $O(p^{\delta})$, with $\delta$ increasing with the weight, but also increases susceptibility to perpendicular noise. Our main theorem establishes a sufficient noise condition under which adapting this weight to the system size preserves superlinear quantum Fisher information under simultaneous independent $X$ and $Z$ noise. We illustrate this strategy using repetition, Bacon-Shor, and toric codes, and analyze noise both before and after phase imprinting. In all examples, the error-correction checks and phase-imprinting operators are local and require no nonlocal connectivity.
Substantially revised version. Added Theorem 1, providing a general performance guarantee for super-SQL scaling; reorganized the presentation and updated the figures
arXiv:2605.08341 [quant-ph]
(or arXiv:2605.08341v3 [quant-ph] for this version)
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