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- W2964118957 abstract "We present an analysis of the properties and characteristics of weakly optimal entanglement witnesses, that is witnesses whose expectation value vanishes on at least one product vector. Any weakly optimal entanglement witness can be written as the form of $W^{wopt}=sigma-c_{sigma}^{max} I$, where $c_{sigma}^{max}$ is a non-negative number and $I$ is the identity matrix. We show the relation between the weakly optimal witness $W^{wopt}$ and the eigenvalues of the separable states $sigma$. Further we give an application of weakly optimal witnesses for constructing entanglement witnesses in a larger Hilbert space by extending the result of [P. Badzic{a}g {it et al}, Phys. Rev. A {bf 88}, 010301(R) (2013)], and we examine their geometric properties." @default.
- W2964118957 created "2019-07-30" @default.
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- W2964118957 date "2015-10-01" @default.
- W2964118957 modified "2023-09-24" @default.
- W2964118957 title "Characterization and properties of weakly optimal entanglement witnesses" @default.
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- W2964118957 doi "https://doi.org/10.26421/qic15.13-14-2" @default.
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