Optimal estimation of group transformations using entanglement

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 72, Issue 4, 2005, Pages

  Chiribella, G ^a   D'Ariano, G M ^a   Sacchi, M F ^a  

^a UNIVERSITY OF PAVIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

OPTIMAL ESTIMATION; QUANTUM MEASUREMENTS;

FUNCTIONS; OPTIMIZATION; PERFORMANCE; PHASE TRANSITIONS; QUANTUM THEORY;

ATOMIC PHYSICS;

EID: 28844480109     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.72.042338     Document Type: Article

References (29)

1. I. L. Chuang and M. A. Nielsen, Quantum Information and Quantum Computation (Cambridge University Press, Cambridge, U.K., 2000).
2. P. W. Shor, in Proceedings of the 35th Annual Symposium of the Foundations of Computer Science, edited by, S. Goldwasser, (IEEE Computer Society Press, Los Alamitos, CA, 1994), p. 124.
3. L. K. Grover, in Proceedings, 28th Annual ACM Symposium on the Theory of Computing (STOC), 1996, p. 212
4. L. K. Grover Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.325 79, 325 (1997).
5. C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1895 70, 1895 (1993).
6. C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2881 69, 2881 (1992).
7. A. K. Ekert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.661 67, 661 (1991)
8. A. K. Ekert Nature (London) NATUAS 0028-0836 10.1038/358014a0 358, 14 (1992).
9. G. M. D'Ariano, P. Lo Presti, and M. G. A. Paris, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.270404 87, 270404 (2001).
10. V. Giovannetti, S. Lloyd, and L. Maccone, Science SCIEAS 0036-8075 10.1126/science.1104149 306, 1330 (2004).
11. C. W. Helstrom, Quantum Detection and Estimation Theory (Academic Press, New York, 1976).
12. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1982).
13. A. Acín, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 177901 87, 177901 (2001).
14. A. Acín, E. Jane, and G. Vidal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.050302 64, 050302 (R) (2001).
15. A. Fujiwara, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.012316 65, 012316 (2001).
16. M. A. Ballester, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022303 69, 022303 (2004).
17. G. Chiribella, G. M. D'Ariano, P. Perinotti, and M. F. Sacchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.180503 93, 180503 (2004).
18. G. M. D'Ariano, P. Lo Presti, and M. F. Sacchi, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00410-2 272, 32 (2000).
19. See, for example, A. O. Barut and R. Raczka, Theory of Group Representations and Applications (World Scientific, Singapore, 1986), Chap..
20. G. Chiribella, G. M. D'Ariano, P. Perinotti, and M. F. Sacchi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.062105 70, 062105 (2004).
21. G. Chiribella, G. M. D'Ariano, P. Perinotti, and M. Sacchi, Int. J. Quantum Inf (to be published), e-print quant-ph/0507007.
22. G. Chiribella and G. M. D'Ariano, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1806262 45, 4435 (2004).
23. G. M. D'Ariano, C. Macchiavello, and P. Perinotti Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.042327 72, 042327 (2005).
24. A. Peres and P. F. Scudo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.167901 87, 167901 (2001)
25. E. Bagan, M. Baig, and R. Mulñoz-Tapia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.257903 87, 257903 (2001)
26. A. Peres and P. F. Scudo, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340110118449 49, 1235 (2002)
27. E. Bagan, M. Baig, and R. Muñoz-Tapia, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.030301 70, 030301 (R) (2004)
28. M. Hayashi, e-print quant-ph/0407053.
29. J. I. Cirac, A. K. Ekert, and C. Macchiavello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4344 82, 4344 (1999).