dorsal/arxiv
View SchemaOn the P-representable subset of all bipartite Gaussian separable states
| Authors | M. C. de Oliveira |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401056 |
| URL | https://arxiv.org/abs/quant-ph/0401056 |
| DOI | 10.1103/PhysRevA.70.034303 |
| Journal | Phys. Rev. A 70, 034303 (2004). |
Abstract
P-representability is a necessary and sufficient condition for separability of bipartite Gaussian states only for the special subset of states whose covariance matrix are $Sp(2,R)\otimes Sp(2,R)$ locally invariant. Although this special class of states can be reached by a convenient $Sp(2,R)\otimes Sp(2,R)$ transformation over an arbitrary covariance matrix, it represents a loss of generality, avoiding inference of many general aspects of separability of bipartite Gaussian states.
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"abstract": "P-representability is a necessary and sufficient condition for separability\nof bipartite Gaussian states only for the special subset of states whose\ncovariance matrix are $Sp(2,R)\\otimes Sp(2,R)$ locally invariant. Although this\nspecial class of states can be reached by a convenient $Sp(2,R)\\otimes Sp(2,R)$\ntransformation over an arbitrary covariance matrix, it represents a loss of\ngenerality, avoiding inference of many general aspects of separability of\nbipartite Gaussian states.",
"arxiv_id": "quant-ph/0401056",
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"M. C. de Oliveira"
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"doi": "10.1103/PhysRevA.70.034303",
"journal_ref": "Phys. Rev. A 70, 034303 (2004).",
"title": "On the P-representable subset of all bipartite Gaussian separable states",
"url": "https://arxiv.org/abs/quant-ph/0401056"
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