dorsal/arxiv
View SchemaGeneralized Schmidt decomposition and classification of three-quantum-bit states
| Authors | A. Acin, A. Andrianov, L. Costa, E. Jane, J. I. Latorre, R. Tarrach |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003050 |
| URL | https://arxiv.org/abs/quant-ph/0003050 |
| DOI | 10.1103/PhysRevLett.85.1560 |
| Journal | Phys. Rev. Lett. 85 (2000) 1560 |
Abstract
We prove for any pure three-quantum-bit state the existence of local bases which allow to build a set of five orthogonal product states in terms of which the state can be written in a unique form. This leads to a canonical form which generalizes the two-quantum-bit Schmidt decomposition. It is uniquely characterized by the five entanglement parameters. It leads to a complete classification of the three-quantum-bit states. It shows that the right outcome of an adequate local measurement always erases all entanglement between the other two parties.
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"abstract": "We prove for any pure three-quantum-bit state the existence of local bases\nwhich allow to build a set of five orthogonal product states in terms of which\nthe state can be written in a unique form. This leads to a canonical form which\ngeneralizes the two-quantum-bit Schmidt decomposition. It is uniquely\ncharacterized by the five entanglement parameters. It leads to a complete\nclassification of the three-quantum-bit states. It shows that the right outcome\nof an adequate local measurement always erases all entanglement between the\nother two parties.",
"arxiv_id": "quant-ph/0003050",
"authors": [
"A. Acin",
"A. Andrianov",
"L. Costa",
"E. Jane",
"J. I. Latorre",
"R. Tarrach"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.85.1560",
"journal_ref": "Phys. Rev. Lett. 85 (2000) 1560",
"title": "Generalized Schmidt decomposition and classification of three-quantum-bit states",
"url": "https://arxiv.org/abs/quant-ph/0003050"
},
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