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- W4384153973 abstract "Abstract We study the closed expressions of the convex roof coherence measures for one-qubit states in this paper. We present the analytical expressions for the convex roof coherence measures, $C_f(rho)$, of one-qubit states with $C_f(varphi):=f(abs{c_0}^2,abs{c_1}^2)$ (where $ket{varphi}=c_0ket{0}+c_1ket{1}$) being convex with respect to the $l_1$ norm of coherence of $varphi$ (i.e., $C_{l_1}(varphi)$), such coherence measures including the coherence of formation, the geometric measure of coherence, the coherence concurrence, and the coherence rank. We further present the operational interpretations of these measures. Finally, we present the usefulness of the convex roof coherence measures $C_f(varphi)$ being non-convex with respect to $C_{l_1}(varphi)$ by giving the necessary and sufficient conditions for the transformations $pvarphi_1oplus(1-p)varphi_2to qphi_1oplus(1-q)phi_2$ via incoherent operations, where $varphi_i$, $phi_j$ $(i, j=1, 2)$ are one-qubit pure states and $0leq p, qleq 1$.
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- W4384153973 created "2023-07-14" @default.
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- W4384153973 date "2023-07-13" @default.
- W4384153973 modified "2023-09-25" @default.
- W4384153973 title "Closed expressions for one-qubit states of convex roof coherence measures" @default.
- W4384153973 doi "https://doi.org/10.1088/1751-8121/ace749" @default.
- W4384153973 hasPublicationYear "2023" @default.
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