One-and-a-half quantum de finetti theorems

Communications in Mathematical Physics

Volumn 273, Issue 2, 2007, Pages 473-498

  Christandl, Matthias ^a   König, Robert ^a   Mitchison, Graeme ^a   Renner, Renato ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34249883570     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-007-0189-3     Document Type: Article

References (32)

1. Okounkov, A., Olshanski, G.: Alg. i Anal. 9, no. 2, 13-146 (1997) (Russian);
2. Eng. in st. Petersburg Math. J 9, no. 2 (1998)
3. de Finetti, B.: Ann. Inst. H. Poincaré 7, 1 (1937)
4. Størmer, E.: J. Funct. Anal. 3, 48 (1969)
5. Hudson, R.L., Moody, G.R., Wahrschein, Z.: Verw. Geb. 33, 343 (1976)
6. Petz, D.: Prob. Th. Rel. Fields. 85, 1-11 (1990)
7. Caves, C.M., Fuchs, C.A., Schack, R.: J. Math. Phys. 43, 4537 (2002)
8. Fuchs CA, Schack R: In: Quantum Estimation Theory, M.G.A. Paris, J. Rehaeck (eds), Berlin: Springer, 2004
9. Fuchs, C.A., Schack, R., Scudo, F.F.: Phys. Rev. A 69, 062305 (2004)
10. König, R.. Renner, R.: J. Math. Phys. 46, 122108 (2005)
11. Renner, R.: Security of Quantum Key Distribution. PhD thesis, ETH Zurich, 2005, available at http://axiv.org/list/quant-ph/0512258, 2005
12. Werner, R.F.: Phys. Rev. A 40, 4277 (1989)
13. st ed, Cambridge: Cambridge Univ. Press, 1995
14. Perelomov, A.: Generalized coherent states and their application. Texts and Monographs in Physics, Berlin: Springer-Verlag, 1986
15. Weyl, H.: The Theory of Groups and Quantum Mechanics. New York: Dover Publications, Inc., 1950
16. Diaconis, P., Freedman, D.: The Annals of Probability 8, 745 (1980)
17. Pannes, M., Lewis, J.T., Verbeure, A.: Lett. Math. Phys. 15, 255 (1988)
18. Raggio, G.A., Werner, R.F.: Helv. Phys. Acta 62, 980 (1989)
19. Ioannou, L.M.: Deterministic computational complexity of the quantum separability problem. http://arxiv.org/list/quant-ph/0603199; 2006, to appear in QIP, 2006
20. Doherty, A.: Personal communication, 2006
21. Audenaert, K.: Available at http://qols.ph.ic.ac.uk/~kauden/ QITNotes_files/irreps.pdf, 2004
22. Fulton, W.F.: Young Tableaux. Cambridge: Cambridge University Press, 1997
23. Eggeling, T., Werner, R.F.: Phys. Rev. A 63, 04211 (2001)
24. Macdonald, I.G.: Symmetric functions and Hall polynomials. Oxford: Clarendon Press, 1979
25. Klyachko, A.: http:/laxiv.org/list/quant-ph/0206012, 2002
26. Keyl, M., Werner, R.F.: Phys. Rev. A 64, 052311 (2001)
27. Hudson, R.L.: Found. Phys. 11, 805 (1981)
28. Fannes, M., Spohn, H., Verbeure, A.: J. Math. Phys. 21, 355 (1980)
29. Brun, T.A., Caves, C.M., Schack, R.: Phys. Rev. A 63, 042309 (2001)
30. Doherty, A.C., Parillo, P.A., Spedalieri, F.M.: Phys. Rev. A 69, 022308 (2004)
31. Audenaert KMR.: In: Proceedings of MTNS2004 (2004), available at http://arxiv.org/list/quant-ph/0402076, 2004
32. Terhal, B.M., Doherty, A.C., Schwab, D.: Phys. Rev. Lett 90, 157903 (2003)