dorsal/arxiv
View SchemaGeneral construction of noiseless networks detecting entanglement with help of linear maps
| Authors | P. Horodecki, R. Augusiak, M. Demianowicz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603015 |
| URL | https://arxiv.org/abs/quant-ph/0603015 |
| DOI | 10.1103/PhysRevA.74.052323 |
| Journal | Physical Review A 74, 052323 (2006) |
Abstract
We present the general scheme for construction of noiseless networks detecting entanglement with the help of linear, hermiticity-preserving maps. We show how to apply the method to detect entanglement of unknown state without its prior reconstruction. In particular, we prove there always exists noiseless network detecting entanglement with the help of positive, but not completely positive maps. Then the generalization of the method to the case of entanglement detection with arbitrary, not necessarily hermiticity-preserving, linear contractions on product states is presented.
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"abstract": "We present the general scheme for construction of noiseless networks\ndetecting entanglement with the help of linear, hermiticity-preserving maps. We\nshow how to apply the method to detect entanglement of unknown state without\nits prior reconstruction. In particular, we prove there always exists noiseless\nnetwork detecting entanglement with the help of positive, but not completely\npositive maps. Then the generalization of the method to the case of\nentanglement detection with arbitrary, not necessarily hermiticity-preserving,\nlinear contractions on product states is presented.",
"arxiv_id": "quant-ph/0603015",
"authors": [
"P. Horodecki",
"R. Augusiak",
"M. Demianowicz"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.74.052323",
"journal_ref": "Physical Review A 74, 052323 (2006)",
"title": "General construction of noiseless networks detecting entanglement with help of linear maps",
"url": "https://arxiv.org/abs/quant-ph/0603015"
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