dorsal/arxiv
View SchemaUnivariate Functions for the Hilbert-Schmidt Volumes of the Real and Complex Separable Two-Qubit Systems
| Authors | Paul B. Slater |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607209 |
| URL | https://arxiv.org/abs/quant-ph/0607209 |
Abstract
The (complex) two-qubit systems comprise a 15-dimensional convex set and the real two-qubit systems, a 9-dimensional convex set. While formulas for the Hilbert-Schmidt volumes of these two sets are known -- owing to recent important work of Sommers and Zyczkowski (J. Phys. A {36}, 10115 [2003]) -- formulas have not been so far obtained for the volumes of the separable subsets. We reduce these two problems to the determination of certain functions of a single variable.
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"abstract": "The (complex) two-qubit systems comprise a 15-dimensional convex set and the\nreal two-qubit systems, a 9-dimensional convex set. While formulas for the\nHilbert-Schmidt volumes of these two sets are known -- owing to recent\nimportant work of Sommers and Zyczkowski (J. Phys. A {36}, 10115 [2003]) --\nformulas have not been so far obtained for the volumes of the separable\nsubsets. We reduce these two problems to the determination of certain functions\nof a single variable.",
"arxiv_id": "quant-ph/0607209",
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"Paul B. Slater"
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"title": "Univariate Functions for the Hilbert-Schmidt Volumes of the Real and Complex Separable Two-Qubit Systems",
"url": "https://arxiv.org/abs/quant-ph/0607209"
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