dorsal/arxiv
View SchemaBures/statistical distinguishability probabilities of triseparable and biseparable Eggeling-Werner States
| Authors | Paul B. Slater |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306053 |
| URL | https://arxiv.org/abs/quant-ph/0306053 |
Abstract
In a number of previous studies, we have investigated the use of the volume element of the Bures (minimal monotone) metric -- identically, one-fourth of the statistical distinguishability (SD) metric -- as a natural measure over the (n^2-1)-dimensional convex set of n x n density matrices. This has led us for the cases n = 4 and 6 to estimates of the prior (Bures/SD) probabilities that qubit-qubit and qubit-qutrit pairs are separable. Here, we extend this work from such bipartite systems to the tripartite "laboratory'' quantum systems possessing U x U x U symmetry recently constructed by Eggeling and Werner (Phys. Rev. A 63 [2001], 042324). We derive the associated SD metric tensors for the three-qubit and three-qutrit cases, and then obtain estimates of the various related Bures/SD probabilities using Monte Carlo methods.
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"abstract": "In a number of previous studies, we have investigated the use of the volume\nelement of the Bures (minimal monotone) metric -- identically, one-fourth of\nthe statistical distinguishability (SD) metric -- as a natural measure over the\n(n^2-1)-dimensional convex set of n x n density matrices. This has led us for\nthe cases n = 4 and 6 to estimates of the prior (Bures/SD) probabilities that\nqubit-qubit and qubit-qutrit pairs are separable. Here, we extend this work\nfrom such bipartite systems to the tripartite \"laboratory\u0027\u0027 quantum systems\npossessing U x U x U symmetry recently constructed by Eggeling and Werner\n(Phys. Rev. A 63 [2001], 042324). We derive the associated SD metric tensors\nfor the three-qubit and three-qutrit cases, and then obtain estimates of the\nvarious related Bures/SD probabilities using Monte Carlo methods.",
"arxiv_id": "quant-ph/0306053",
"authors": [
"Paul B. Slater"
],
"categories": [
"quant-ph"
],
"title": "Bures/statistical distinguishability probabilities of triseparable and biseparable Eggeling-Werner States",
"url": "https://arxiv.org/abs/quant-ph/0306053"
},
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