paper

Quantum Charging Advantage Cannot Be Extensive Without Global Operations

arXiv:2108.02491 · doi:10.1103/PhysRevLett.128.140501

Abstract

Quantum batteries are devices made from quantum states, which store and release energy in a fast and efficient manner, thus offering numerous possibilities in future technological applications. They offer a significant charging speedup when compared to classical batteries, due to the possibility of using entangling charging operations. We show that the maximal speedup that can be achieved is extensive in the number of cells, thus offering at most quadratic scaling in the charging power over the classically achievable linear scaling. To reach such a scaling, a global charging protocol, charging all the cells collectively, needs to be employed. This concludes the quest on the limits of charging power of quantum batteries and adds to other results in which quantum methods are known to provide at most quadratic scaling over their classical counterparts.

Main text: 5 pages, 1 figure. Supplemental material: 7 pages, 3 figures: v2: main: extended explanation of the source of the quantum advantage and comparison with parallel charging, references added, and other minor changes. Supplemental material: additional discussion of the scaling of the bandwidth of Fig. 1

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