dorsal/arxiv
View SchemaNon-maximal rank separable states are a set of measure 0 within the set of non-maximal rank states
| Authors | Robert B. Lockhart |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111022 |
| URL | https://arxiv.org/abs/quant-ph/0111022 |
Abstract
This paper is being withdrawn due to an error in the proof. Hao Chen has shown the author in the two qubit case that there is an open set of three dimensional subspaces that are spanned by separable states. This means the author's proof is in error. The problem is that homogeneity cannot be used and so the Jacobian needs to be computed at all points
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"date_created": "2026-03-02T18:01:46.124000Z",
"date_modified": "2026-03-02T18:01:46.124000Z",
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"record": {
"abstract": "This paper is being withdrawn due to an error in the proof. Hao Chen has\nshown the author in the two qubit case that there is an open set of three\ndimensional subspaces that are spanned by separable states. This means the\nauthor\u0027s proof is in error. The problem is that homogeneity cannot be used and\nso the Jacobian needs to be computed at all points",
"arxiv_id": "quant-ph/0111022",
"authors": [
"Robert B. Lockhart"
],
"categories": [
"quant-ph"
],
"title": "Non-maximal rank separable states are a set of measure 0 within the set of non-maximal rank states",
"url": "https://arxiv.org/abs/quant-ph/0111022"
},
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