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- W4289551038 abstract "Whenever a physical quantity becomes essential to the realization of useful tasks, it is desirable to define proper measures or monotones to quantify it. In quantum mechanics, coherence, entanglement, and Bell nonlocality are examples of such quantities. Given a quantum state $varrho$ and a quantifier ${cal E}(varrho)$, both arbitrary, it is a hard task to determine ${cal E}(varrho^{otimes N})$. However, if the figure of merit $cal{E}$ turns out to be additive, we simply have ${cal E}(varrho^{otimes N})=N e$, with $e={cal E}(varrho)$. In this work we generalize this useful notion through the inner product ${cal E}(varrho^{otimes N}) = vec{N}cdot vec{e}$, where $vec{e}=({cal E}(varrho^{otimes i_1}), {cal E}(varrho^{otimes i_2}),dots,{cal E}(varrho^{otimes i_q}) )$ is a vector whose $q$ entries are the figure of merit under study calculated for some numbers of copies smaller than $N$ ($1 le i_1<i_2<dots <i_q<N$), where $vec{N}=(N_{i_1}, N_{i_2}, dots ,N_{i_q})$, is a string of numbers that depends only on $N$ and on the set of integers ${ {i_j}}$. We show that the one shot distillable entanglement of certain spherically symmetric states can be quantitatively approximated by such an augmented additivity." @default.
- W4289551038 created "2022-08-03" @default.
- W4289551038 creator A5002017483 @default.
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- W4289551038 date "2022-07-30" @default.
- W4289551038 modified "2023-09-29" @default.
- W4289551038 title "Enlarging the notion of additivity of resource quantifiers" @default.
- W4289551038 doi "https://doi.org/10.48550/arxiv.2208.00326" @default.
- W4289551038 hasPublicationYear "2022" @default.
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