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- W2605986319 abstract "We introduce a new discrete coherence monotone named the emph{coherence number}, which is a generalization of the coherence rank to mixed states. After defining the coherence number in a similar manner to the Schmidt number in entanglement theory, we present a necessary and sufficient condition of the coherence number for a coherent state to be converted to an entangled state of nonzero $k$-concurrence (a member of the generalized concurrence family with $2le k le d$). It also turns out that the coherence number is a useful measure to understand the process of Grover search algorithm of $N$ items. We show that the coherence number remains $N$ and falls abruptly when the success probability of the searching process becomes maximal. This phenomenon motivates us to analyze the depletion pattern of $C_c^{(N)}$ (the last member of the generalized coherence concurrence, nonzero when the coherence number is $N$), which turns out to be an optimal resource for the process since it is completely consumed to finish the searching task." @default.
- W2605986319 created "2017-04-28" @default.
- W2605986319 creator A5019554320 @default.
- W2605986319 date "2017-02-10" @default.
- W2605986319 modified "2023-09-27" @default.
- W2605986319 title "Conversion of coherence into the generalized entanglement concurrence" @default.
- W2605986319 hasPublicationYear "2017" @default.
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