For N-qubit complete charging from all-down to all-up under time-independent Hamiltonians, the maximum QSL-normalized rate with entanglement depth ≤k is exactly 1/sqrt(ceil(N/k)), saturated by balanced cluster-flip evolutions and enabling certification of genuine N-partite entanglement for rates >1/
Entanglement, coherence, and charging process of quantum batteries,
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Exact Entanglement-Depth Speed Frontier for Complete Quantum Charging
For N-qubit complete charging from all-down to all-up under time-independent Hamiltonians, the maximum QSL-normalized rate with entanglement depth ≤k is exactly 1/sqrt(ceil(N/k)), saturated by balanced cluster-flip evolutions and enabling certification of genuine N-partite entanglement for rates >1/