The paper presents a family of local quantum channels that exhibit stable mixed-state symmetry-protected topological (SPT) order in steady states. Inspired by recent experimental progress on "erasure conversion" techniques, which allow for identifying (heralded) decoherence processes, the authors consider open systems with biased erasure noise, which leads to strongly symmetric heralded errors. They construct a local correction protocol that effectively confines errors into short-ranged pairs in the steady state. Using numerical simulations and mean-field analysis, they show that their protocol stabilizes SPT order against a sufficiently low rate of decoherence. As the rate of heralded noise increases, SPT order is eventually lost through a directed percolation transition. The authors also find that while unheralded errors destroy SPT order in the limit of long length and time scales, the correction protocol ensures that local SPT order persists, with a correlation length that diverges as \(\xi \sim (1 - f_c)^{-1/2}\), where \(f_c\) is the fraction of errors that are heralded. The study demonstrates that biased erasure noise can be used to stabilize nontrivial zero-temperature phases as steady states under local Lindblad dynamics, enabling local error correction into an SPT phase starting from generic initial mixed states.The paper presents a family of local quantum channels that exhibit stable mixed-state symmetry-protected topological (SPT) order in steady states. Inspired by recent experimental progress on "erasure conversion" techniques, which allow for identifying (heralded) decoherence processes, the authors consider open systems with biased erasure noise, which leads to strongly symmetric heralded errors. They construct a local correction protocol that effectively confines errors into short-ranged pairs in the steady state. Using numerical simulations and mean-field analysis, they show that their protocol stabilizes SPT order against a sufficiently low rate of decoherence. As the rate of heralded noise increases, SPT order is eventually lost through a directed percolation transition. The authors also find that while unheralded errors destroy SPT order in the limit of long length and time scales, the correction protocol ensures that local SPT order persists, with a correlation length that diverges as \(\xi \sim (1 - f_c)^{-1/2}\), where \(f_c\) is the fraction of errors that are heralded. The study demonstrates that biased erasure noise can be used to stabilize nontrivial zero-temperature phases as steady states under local Lindblad dynamics, enabling local error correction into an SPT phase starting from generic initial mixed states.