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arXiv · 2512.22908

Quantum advantage unlocked: Charging quantum batteries with K-regular graph stabilizers

Debkanta Ghosh·Tanoy Kanti Konar·Gianluca Francica·Amit Kumar Pal·Aditi Sen De
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Abstract

Regular graphs find broad applications ranging from quantum communication to quantum computation. Motivated by this, we investigate the design of a quantum battery based on a K-regular graph, where K denotes the number of edges incident on each vertex. We show that a 0-regular graph battery exhibits extractable work that scales linearly with the system-size when charged using a K-regular graph. This linear scaling is shown to persist even when the charging is implemented via a collective K-regular charger with power-law decaying interactions. Interestingly, we prove that both the maximum average power and instantaneous power scale super-linearly in the thermodynamic limit when the connectivity of the charging graph is of the order of the system size, thereby exhibiting it quantum advantage. Furthermore, by introducing the notion of the fraction of extractable work when only subsystems are accessible, we identify this fraction to be independent of system-size if the battery is prepared in the down-polarized product state. This independence breaks down when the battery is oriented along the x- and y-directions of the Bloch sphere.

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Debkanta Ghosh, Tanoy Kanti Konar, Gianluca Francica, Amit Kumar Pal, Aditi Sen De. 2025-12-28. Quantum advantage unlocked: Charging quantum batteries with K-regular graph stabilizers. https://arxiv.org/abs/2512.22908

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