Finite de finetti theorem for infinite-dimensional systems

Physical Review Letters

Volumn 98, Issue 16, 2007, Pages

  D'Cruz, Christian ^a   Osborne, Tobias J ^a   Schack, Rüdiger ^a  

^a UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; SET THEORY; STATE SPACE METHODS; THEOREM PROVING;

FINETTI REPRESENTATION THEOREM; INFINITE DIMENSIONAL SYSTEMS; POWER STATES; QUANTUM SYSTEMS;

QUANTUM THEORY;

EID: 34247378091     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.98.160406     Document Type: Article

References (20)

1. B. de Finetti, Ann. Inst. Henri Poincaré AIHPA2 0365-320X 7, 1 (1937).
2. P. Diaconis and D. Freedman, Ann. Probab. APBYAE 0091-1798 8, 745 (1980).
3. L.J. Savage, The Foundations of Statistics (Dover, New York, 1972), 2nd ed.
4. R.L. Hudson and G.R. Moody, Z. Wahrscheinlichkeitstheor. verw. Geb. ZWVGAA 0044-3719 33, 343 (1976). 10.1007/BF00534784
5. E. Størmer, J. Funct. Anal. 3, 48 (1969). JFUAAW 0022-1236 10.1016/0022-1236(69)90050-0
6. D. Petz, Probab. Theory Relat. Fields PTRFEU 0178-8051 85, 65 (1990). 10.1007/BF01377629
7. C.M. Caves, C.A. Fuchs, and R. Schack, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 43, 4537 (2002). 10.1063/1.1494475
8. R. König and R. Renner, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 46, 122108 (2005). 10.1063/1.2146188
9. T.A. Brun, C.M. Caves, and R. Schack, Phys. Rev. A 63, 042309 (2001). PLRAAN 1050-2947 10.1103/PhysRevA.63.042309
10. M. Christandl, R. König, G. Mitchison, and R. Renner, quant-ph/0602130.
11. R. Schack and C.A. Fuchs, in Quantum State Estimation, edited by, M.G.A. Paris, and, J. Řeháček, (Springer-Verlag, Berlin, 2004), p. 147.
12. C.A. Fuchs, R. Schack, and P.F. Scudo, Phys. Rev. A 69, 062305 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.69.062305
13. R. Renner, Ph.D. thesis, Swiss Federal Institute of Technology, Zurich [quant-ph/0512258].
14. R. Renner, N. Gisin, and B. Kraus, Phys. Rev. A 72, 012332 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.72.012332
15. J.I. Korsbakken, K.B. Whaley, J. DuBois, and J.I. Cirac, quant-ph/0611121 [Phys. Rev. A (to be published)]. PLRAAN 1050-2947
16. N.R. Claussen, E.A. Donley, S.T. Thompson, and C.E. Wieman, Nature (London) 417, 529 (2002). NATUAS 0028-0836
17. C.H. van der Wal, A.C.J. ter Haar, F.K. Wilhelm, R.N. Schouten, C.J.P.M. Harmans, T.P. Orlando, S. Lloyd, and J.E. Mooij, Science 290, 773 (2000). SCIEAS 0036-8075 10.1126/science.290.5492.773
18. J.R. Friedman, V. Patel, W. Chen, S.K. Tolpygo, and J.E. Lukens, Nature (London) 406, 43 (2000). NATUAS 0028-0836 10.1038/35017505
19. B. Julsgaard, A. Kozhekin, and E.S. Polzik, Nature (London) 413, 400 (2001). NATUAS 0028-0836 10.1038/35096524
20. W.H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1990).