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- W3209233744 abstract "Given an arbitrary state $$rho $$ and some figure of merit $$mathcal{E}(rho )$$ , it is usually a hard problem to determine the value of $$mathcal{E}(rho ^{otimes N})$$ . One noticeable exception is the case of additive measures, for which we simply have $$mathcal{E}(rho ^{otimes N}) = Ne$$ , with $$eequiv mathcal{E}(rho )$$ . In this work, we study measures that can be described by $$mathcal{E}(rho ^{otimes N}) =E(e;N) ne Ne$$ , that is, measures for which the amount of resources of N copies is still determined by the single real variable e, but in a nonlinear way. If, in addition, the measures are analytic around $$e=0$$ , recurrence relations can be found for the Maclaurin coefficients of E for larger N. As an example, we show that the $$ell _1$$ -norm of coherence is a non-trivial case of such a behavior." @default.
- W3209233744 created "2021-11-08" @default.
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- W3209233744 date "2021-10-26" @default.
- W3209233744 modified "2023-09-23" @default.
- W3209233744 title "Simplest non-additive measures of quantum resources" @default.
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- W3209233744 doi "https://doi.org/10.1007/s11128-021-03297-5" @default.
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