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Quantum batteries are devices made from quantum states, which store andrelease energy in a fast and efficient manner, thus offering numerouspossibilities in future technological applications. They offer a significantcharging speedup when compared to classical batteries, due to the possibilityof using entangling charging operations. We show that the maximal speedup thatcan be achieved is extensive in the number of cells, thus offering at mostquadratic scaling in the charging power over the classically achievable linearscaling. To reach such a scaling, a global charging protocol, charging all thecells collectively, needs to be employed. This concludes the quest on thelimits of charging power of quantum batteries and adds to other results inwhich quantum methods are known to provide at most quadratic scaling over theirclassical counterparts.

Quantum Charging Advantage Cannot Be Extensive Without Global Operations