dorsal/arxiv
View SchemaGeneralized reduction criterion for separability of quantum states
| Authors | S. Albeverio, K. Chen, S. M. Fei |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312185 |
| URL | https://arxiv.org/abs/quant-ph/0312185 |
| DOI | 10.1103/PhysRevA.68.062313 |
| Journal | Phys. Rev. A 68 (2003) 062313 |
Abstract
A new necessary separability criterion that relates the structures of the total density matrix and its reductions is given. The method used is based on the realignment method [K. Chen and L.A. Wu, Quant. Inf. Comput. 3, 193 (2003)]. The new separability criterion naturally generalizes the reduction separability criterion introduced independently in previous work of [M. Horodecki and P. Horodecki, Phys. Rev. A 59, 4206 (1999)] and [N.J. Cerf, C. Adami and R.M. Gingrich, Phys. Rev. A 60, 898 (1999)]. In special cases, it recovers the previous reduction criterion and the recent generalized partial transposition criterion [K. Chen and L.A. Wu, Phys. Lett. A 306, 14 (2002)]. The criterion involves only simple matrix manipulations and can therefore be easily applied.
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"abstract": "A new necessary separability criterion that relates the structures of the\ntotal density matrix and its reductions is given. The method used is based on\nthe realignment method [K. Chen and L.A. Wu, Quant. Inf. Comput. 3, 193\n(2003)]. The new separability criterion naturally generalizes the reduction\nseparability criterion introduced independently in previous work of [M.\nHorodecki and P. Horodecki, Phys. Rev. A 59, 4206 (1999)] and [N.J. Cerf, C.\nAdami and R.M. Gingrich, Phys. Rev. A 60, 898 (1999)]. In special cases, it\nrecovers the previous reduction criterion and the recent generalized partial\ntransposition criterion [K. Chen and L.A. Wu, Phys. Lett. A 306, 14 (2002)].\nThe criterion involves only simple matrix manipulations and can therefore be\neasily applied.",
"arxiv_id": "quant-ph/0312185",
"authors": [
"S. Albeverio",
"K. Chen",
"S. M. Fei"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.062313",
"journal_ref": "Phys. Rev. A 68 (2003) 062313",
"title": "Generalized reduction criterion for separability of quantum states",
"url": "https://arxiv.org/abs/quant-ph/0312185"
},
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