Spectral properties of entanglement witnesses

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 37, 2008, Pages

  Sarbicki, G ^a  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54749138900     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/37/375303     Document Type: Article

References (17)

1. Coxeter H S M 1974 Projective Geometry 2nd edn (Berlin: Springer)
2. Hartshorne R 1997 Algebraic Geometry ((Graduate Texts in Mathematics)) vol 52 (Berlin: Springer)
3. Werner R F 1989 Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model Phys. Rev. A 40 4277
4. Terhal B M 2000 Bell inequalities and the separability criterion Phys. Lett. A 271 319 (Preprint quant-ph/9911057)
5. Terhal B M and Horodecki P 2000 A Schmidt number for density matrices Phys. Rev. A 61 040301 (Preprint quant-ph/9911117)
6. Sanpera A, Bruss D and Lewenstein M 2001 Schmidt number witnesses and bound entanglement Phys. Rev. A 63 050301 (Preprint quant-ph/0009109)
7. Grabowski J, Kuś M and Marmo G 2005 Geometry of quantum systems: density states and entanglement J. Phys. A: Math. Gen. 38 10217-44 (Preprint math-ph/0507045)
8. Yu Z, Jost-Li X, Li Q, Lv J and Fei S-M 2007 Differential geometry of bipartite quantum states Preprint 0711.1211
9. DiVincenzo D P, Mor T, Shor P W, Smolin J A and Terhal B M 2003 Unextendible product bases, uncompletable product bases and bound entanglement Commun. Math. Phys. 238 379-410 (Preprint quant-ph/9908070)
10. Bennett C H, DiVincenzo D P, Mor T, Shor P W, Smolin J A and Terhal B M 1999 Unextendible product bases and bound entanglement Phys. Rev. Lett. 82 5385-8 (Preprint quant-ph/9808030)
11. Terhal B M 2000 A family of indecomposable positive linear maps based on entangled quantum states Preprint quant-ph/9810091
12. Lewenstein M, Kraus B, Cirac J I and Horodecki P 2000 Optimization of entanglement witnesses Phys. Rev. A 62 052310 (Preprint quant-ph/0005014)
13. Augusiak R, Horodecki P and Demianowicz M 2006 Universal observable detecting all two-qubit entanglement and determinant based separability tests Preprint quant-ph/0604109
14. Benatti F, Floreanini R and Piani M 2004 Non-decomposable quantum dynamical semigroups and bound entangled states Preprint quant-ph/0411095
15. Jamiołkowski A 1972 Rep. Math. Phys. 3 275
16. Ranade K S and Ali M 2007 The Jamiolkowski isomorphism and a conceptionally simple proof for the correspondence between vectors having Schmidt number k and k-positive maps Preprint quant-ph/0702255
17. Kraus K 1983 States, Effects and Operations: Fundamental Notions of Quantum Theory (Berlin: Springer)