Investigating Three Qubit Entanglement with Local Measurements

International Journal of Theoretical Physics

Volumn 42, Issue 5, 2003, Pages 1001-1013

  Gühne, Otfried ^a   Hyllus, Philipp ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Entanglement; Entanglement witnesses; Local measurements; Threepartite systems

Indexed keywords

EID: 1142279235     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025422606845     Document Type: Conference Paper

References (20)

1. Acín, A., Andrianov, A., Costa, L., Jane, E., Latorre, J., and Tarrach, R. (2000). Generalized Schmidt decomposition and classification of three-quantum-bit states. Physical Review Letters 85, 1560. Preprint quant-ph/0003050.
2. Acín, A., Bruß, D., Lewenstein, M., and Sanpera, A. (2001). Classification of mixed three-qubit states. Physical Review Letters 87, 040401.
3. Dür, W., Vidal, G., and Cirac, J. (2000). Three qubits can be entangled in two inequivalent ways. Physical Review A 62, 062314. Preprint quant-ph/0005115.
4. Gühne, O., Hyllus, P., Bruß, D., Ekert, A., Lewenstein, M., Macchiavello, C., and Sanpera, A. (2002a). Detection of entanglement with few local measurements. Physical Review A 66, 062305. Preprint quant-ph/0205089.
5. Gühne, O., Hyllus, P., Bruß, D., Ekert, A., Lewenstein, M., Macchiavello, C., and Sanpera, A. (2002b). Experimental detection of entanglement via witness operators and local measurements. Preprint quant-ph/0210134, to be published in a special issue of Journal of Modern Optics.
6. Horodecki, P. (2001). Measuring quantum entanglement without prior state reconstruction. Preprint quant-ph/0111082.
7. Horodecki, P. (2002). Mean of continuous variables observable via measurement on single qubit. Preprint quant-ph/90210163.
8. Horodecki, P. and Ekert, A. (2002). Method for direct detection of quantum entanglement. Physical Review Letters 89, 127902. Preprint quant-ph/90111064.
9. Horodecki, M., Horodecki, P., and Horodecki, R. (1996). Separability of mixed states: Necessary and sufficient conditions. Physics Letters A 232, 1.
10. Lewenstein, M., Kraus, B., Cirac, J., and Horodecki, P. (2000). Optimization of entanglement witnesses. Physical Review A 62, 052310.
11. Macchiavello, C., Palma, G., and Zeilinger, A. (eds.) (2000). Quantum Computation and Quantum Information Theory, World Scientific, Singapore.
12. Peres, A. (1996). Separability criterion for density matrices. Physical Review Letters 77, 1413.
13. Peres, A. (1999). All the Bell inequalities. Foundations of Physics 29, 589.
14. Sanpera, A., Tarrach, R., and Vidal, G. (1998). Local description of quantum inseparability. Physical Review A 58, 826.
15. Terhal, B. (2000). Bell inequalities and the separability criterion. Physics Letters A 271, 319.
16. Thew, R., Nemoto, K., White, A., and Munro, W. (2002). Qudit quantum-state tomorgraphy. Physical Review A 66, 012303.
17. Werner, R. and Wolf, M. (2000). Bell's inequalities for states with positive partial transpose. Physical Review A 61, 062102. Preprint quant-ph/99910063.
18. Werner, R. and Wolf, M. (2001a). All multipartite Beil-correlation inequalities for two dichotomic observables per site. Physical Review A 64, 032112. Preprint quant-ph/0102024.
19. Werner, R. and Wolf, M. (2001b). Bell inequalities and entanglement. Quantum Information and Computation Journal 1, 1. Preprint quant-ph/0107093.
20. Zukowski, M. and Brukner, C. (2001). Bell's theorem and general N-qubit states. Physical Review Letters 88, 210401. Preprint quant-ph/0102039.