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Quantum Physics
Title: Stable Symmetry-Protected Topological Phases in Systems with Heralded Noise
(Submitted on 25 Apr 2024 (v1), last revised 7 May 2024 (this version, v2))
Abstract: We present a family of local quantum channels whose steady-states exhibit stable mixed-state symmetry-protected topological (SPT) order. Motivated by recent experimental progress on "erasure conversion" techniques that allow one to identify (\emph{herald}) decoherence processes, we consider open systems with biased erasure noise, which leads to strongly symmetric heralded errors. We utilize this heralding to construct a local correction protocol that effectively confines errors into short-ranged pairs in the steady-state. Using a combination of numerical simulations and mean-field analysis, we show that our 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. We further find that while introducing unheralded errors destroys SPT order in the limit of long length- and time-scales, the correction protocol is sufficient for ensuring that local SPT order persists, with a correlation length that diverges as $\xi \sim (1-f_e)^{-1/2}$, where $f_e$ is the fraction of errors that are heralded.
Submission history
From: Sanket Chirame [view email][v1] Thu, 25 Apr 2024 18:21:48 GMT (9679kb,D)
[v2] Tue, 7 May 2024 17:58:11 GMT (9807kb,D)
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