dorsal/arxiv
View SchemaSeparable balls around the maximally mixed state for a 3-qubit system
| Authors | Roland Hildebrand |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601201 |
| URL | https://arxiv.org/abs/quant-ph/0601201 |
Abstract
We obtain a new lower bound on the radius of the largest ball of separable unnormalized states around the identity matrix for a 3-qubit system. This also enables us to improve the corresponding lower bounds for multi-qubit systems. These bounds are approximately 5% better than the previously known ones. As a by-product, we compute the radius of the largest ball that fits into the triple projective tensor product of the unit ball in R^3.
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"date_created": "2026-03-02T18:02:23.824000Z",
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"abstract": "We obtain a new lower bound on the radius of the largest ball of separable\nunnormalized states around the identity matrix for a 3-qubit system. This also\nenables us to improve the corresponding lower bounds for multi-qubit systems.\nThese bounds are approximately 5% better than the previously known ones. As a\nby-product, we compute the radius of the largest ball that fits into the triple\nprojective tensor product of the unit ball in R^3.",
"arxiv_id": "quant-ph/0601201",
"authors": [
"Roland Hildebrand"
],
"categories": [
"quant-ph"
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"title": "Separable balls around the maximally mixed state for a 3-qubit system",
"url": "https://arxiv.org/abs/quant-ph/0601201"
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