Quantum coherence via skew information and its polygamy
By Chang-shui Yu. 2017
185 citations recorded by the source corpus.
Quantifying coherence is a key task in both quantum mechanical theory and practical applications. Here, a reliable quantum coherence measure is presented by utilizing the quantum skew information of the state of interest subject to a certain broken observable. This coherence measure is proven to fulfill all the criteria (especially the strong monotonicity) recently introduced in the resource theories of quantum coherence. The coherence measure has an analytic expression and an obvious operational meaning related to quantum metrology. In terms of this coherence measure, the distribution of the quantum coherence, i.e., how the quantum coherence is distributed among the multiple parties is studied and a corresponding polygamy relation is proposed. As a further application, it is found that the coherence measure forms the natural upper bounds for quantum correlations prepared by incoherent operations. The experimental measurement of our coherence measure as well as the relative-entropy coherence, $l_p$-norm coherence is studied finally.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/5bbb007340e0de9ddda2c309c38651dbb5fe8807
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Quantum coherence and geometric quantum discord (2017, methodology): “…with the reduced states ρA and ρB, the following polygamy relation holds [1 −Csk(ρA)][1 −Csk(ρB)] ≥ 1 −Csk(|ψ〉AB), (308) while for the mixed state ρAB, one has (Yu, 2017) [1 −Csk(ρA)][1 −Csk(ρB)] ≥ ∑ kk′ 〈kk′|ρAB|kk′〉2, (309) and [1 − Csk(ρA)][1 − Csk(ρB)] ≥ 1 cs [1 −Csk(ρAB)]2, (310) where the…”