Work

Topological frustration and quantum resources

Year: 2026
Type: article
Abstract: Although in general boundary conditions do not affect the bulk properties of a system, some of them are special and defy such expectation. This is the case, for instance, of those inducing geometrical frustration in a classical magnet. Recently, the study of such settings in quantum systems (dubbed topological frustration) has uncovered peculiar features, interesting both from a fundamental and technological point of view. In this work, we present and discuss the behavior of several quantum resources in presence of topological frustration (TF), namely the (disconnected) entanglement entropy and the non-stabilizerness Renyi entropy. We will show that TF adds a distinct contribution to these resources, due to a stable, delocalized, topological excitation. Remarkably, this additional contribution can be calculated analytically, thanks to the similarity between TF ground states and a W -state.
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W7127899208
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