Krylov winding emerges as a generic feature of quantum chaotic systems from the universal operator growth bound, producing size winding when a low-rank Krylov-to-size mapping exists and the chaos bound saturates.
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In a U(1)-broken XX spin chain the local quantum Fisher information shows no first-order depletion in the transverse field and drops at second order via two-magnon scattering, while a single-qubit decoder cannot recover the full block QFI due to subspace compression.
LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.
citing papers explorer
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Krylov Winding and Emergent Coherence in Operator Growth Dynamics
Krylov winding emerges as a generic feature of quantum chaotic systems from the universal operator growth bound, producing size winding when a low-rank Krylov-to-size mapping exists and the chaos bound saturates.
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Operator spreading and recoverability of local quantum Fisher information in a $U(1)$-broken spin chain
In a U(1)-broken XX spin chain the local quantum Fisher information shows no first-order depletion in the transverse field and drops at second order via two-magnon scattering, while a single-qubit decoder cannot recover the full block QFI due to subspace compression.
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Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas
LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.