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- W4287869229 abstract "In the indicated preceding preprint (I), we reported the results of, in particular interest here, certain three-parameter qubit-ququart ($2 times 4$) and two-ququart ($4 times 4$) analyses. In them, we relied upon entanglement constraints given by Li and Qiao. However, further studies of ours conclusively show--using the well-known necessary and sufficient conditions for positive-semidefiniteness that all leading minors (of separable components, in this context) be nonnegative--that certain of the constraints given are flawed and need to be replaced (by weaker ones). Doing so, leads to a new set of results, somewhat qualitatively different and, in certain respects, simpler in nature. For example, bound-entanglement probabilities of $frac{2}{3} left(sqrt{2}-1right) approx 0.276142$, $frac{1}{4} left(3-2 log ^2(2)-log (4)right) approx 0.1632$, $frac{1}{2}-frac{2}{3 pi ^2} approx 0.432453$ and $frac{1}{6}$, are reported for various implementations of constraints. We also adopt the Li-Qiao three-parameter framework to a two-parameter one, with interesting visual results." @default.
- W4287869229 created "2022-07-26" @default.
- W4287869229 creator A5051990622 @default.
- W4287869229 date "2020-02-10" @default.
- W4287869229 modified "2023-09-29" @default.
- W4287869229 title "Archipelagos of Total Bound and Free Entanglement. II" @default.
- W4287869229 doi "https://doi.org/10.48550/arxiv.2002.04084" @default.
- W4287869229 hasPublicationYear "2020" @default.
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