Entanglement of positive definite functions on compact groups

Communications in Mathematical Physics

Volumn 281, Issue 3, 2008, Pages 753-774

  Korbicz, J K ^a,b   Wehr, J ^b,c   Lewenstein, M ^b  

^a UNIVERSITY OF BARCELONA   (Spain)

^b INSTITUCIÓ CATALANA DE RECERCA I ESTUDIS AVANÇATS ICREA   (Spain)

^c UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 45849108740     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-008-0493-6     Document Type: Article

References (40)

1. Bell J.S.: Speakable and Unspeakable inQuantum Mechamics. Cambridge University Press, Cambridge 2004
2. Norsen, T.: Found. Phys. Lett. 19, 633 (2006);
3. Found. Phys. 37, 311 (2007)
4. Peres A.: Quantum Theory: Concepts and Mehtods. Dordrecht: Kluwer Academic Publishers, 1993
5. Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Rev. Mod. Phys., in press, available at http://arxiv.org/list/quant-ph/0702225v2, 2007
6. Strømer E.: Acta Math. 110, 233 (1963)
7. Terhal, B.M.: Lin. Alg. Appl. 323, 61 (2001);
8. Lewenstein, M., Kraus, B., Horodecki, P., Cirac, J.I.: Phys. Rev. A 63, 044304 (2001);
9. Breuer, H.-P.: Phys. Rev. Lett. 97, 080501 (2006)
10. Nielsen M.A., Chuang I.L.: Quantum Computation and Quantum Information. Cambridge: Cambridge University Press, 2000
11. Einstein A., Podolsky B., Rosen N.: Phys. Rev. 47, 777 (1935)
12. Werner R.F.: Phys. Rev. A 40, 4277 (1989)
13. Doherty A.C., Parrilo P.A., Spedalieri F.M.: Phys. Rev. Lett. 88, 187904 (2002)
14. Woerdmann H.J.: Phys. Rev. A 67, 010303 (2003)
15. Gurvits L.: J. Comp. Sys. Sci. 69, 448 (2004)
16. Peres A.: Phys. Rev. Lett. 77, 1413 (1996)
17. Horodecki M., Horodecki P., Horodecki R.: Phys. Lett. A 223, 1 (1996)
18. Choi M.-D.: Linear Algebra Appl. 12, 95 (1975)
19. Horodecki P.: Phys. Lett. A 232, 333 (1997)
20. Giedke G., Kraus B., Lewenstein M., Cirac, J.I.: Phys. Rev. Lett. 87, 167904 (2001)
21. Choi M.-D.: Linear Algebra Appl. 10, 285 (1975)
22. Woronowicz, S.L.: Rep. Math. Phys. 10, 165 (1976);
23. Commun. Math. Phys. 51, 243 (1976);
24. Kruszyński, P., Woronowicz, S.L.: Lett. Math. Phys. 3, 317 (1979)
25. Korbicz J.K., Lewenstein M.: Phys. Rev. A 74, 022318 (2006)
26. Korbicz J.K., Lewenstein M.: Found. Phys. 37, 879 (2007)
27. Holevo, A.S.: Probabilistic and statistical aspects of quantum theory. Amsterdam, North Holland, 1982
28. Perelomov A.: Generalized Coherent States and Their Applications. Berlin, Springer, 1986
29. Barnum, H., Knill, E., Ortiz, G., Viola, L.: Phys. Rev. A 68, 032308 (2003);
30. Barnum, H., Knill, E., Ortiz, G., Somma, R., Viola, L.: Phys. Rev. Lett. 92, 107902 (2004);
31. Braunstein, S.L., Caves, C.M., Jozsa, R., Linden, N., Popescu, S., Schack, R.: Phys. Rev. Lett 83, 1054 (1999);
32. Mintert, F., Życzkowski, K.: Phys. Rev. A 69, 022317 (2004)
33. Folland G.: A Course in Abstract Harmonic Analysis. Boca Raton: CRC Press, 1995
34. * -Algebras. Amsterdam: North Holland, 1977
35. Hewitt E., Ross K.A.: Abstract Harmonic Analysis. Vol. II, Berlin: Springer-Verlag, 1963
36. Folland G.: Real Analysis. Modern Techniques and Their Applications. New York: Wiley, 1999
37. Reed M., Simon B.: Methods of Modern Mathematical Physics. Vol. I, San Diego: Academic Press, 1980
38. Jamioł kowski A.: Rep. Math. Phys. 3, 275 (1972)
39. Godement R.: Trans. Amer. Math. Soc. 63, 1 (1948)
40. Kraus K.: States, Effects, and Operators: Fundamental Notions of Quantum Theory. Berlin: Springer, 1983