Realization of positive-operator-valued measures using measurement-assisted programmable quantum processors

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 72, Issue 2, 2005, Pages

  Ziman, McAlrio ^a,b   Bubeek, Vladimr ^a,c  

^a INSTITUTE OF CHEMISTRY   (Slovakia)

^b Quniverse   (Slovakia)

^c UNIVERSITY OF ULM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MEASUREMENT-ASSISTED PROGRAMMABLE QUANTUM PROCESSORS; POSITIVE-OPERATOR-VALUED MEASURES; QUANTUM MEASUREMENTS; VON NEUMANN MEASUREMENTS;

MATHEMATICAL TRANSFORMATIONS; MEASUREMENT THEORY; NUMERICAL ANALYSIS; ORTHOGONAL FREQUENCY DIVISION MULTIPLEXING; PROGRAM ASSEMBLERS; PROGRAM PROCESSORS;

QUANTUM THEORY;

EID: 27144520558     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.72.022343     Document Type: Article

References (29)

1. A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1993).
2. J. Preskill, www.theory.caltech.edu/people/preskill
3. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
4. P. Busch, P. Lahti, and P. Mittalstead, Quantum Theory of Measurement (Springer, Berlin, 1996).
5. D. E. Evans and J. T. Lewis, Dilations of Irreversible Evolutions in Algebraic Quantum Theory, Communications of Dublin Institute of Advanced Studies, Series A, No. 24 (Theoretical Physics), (DIAS, Dublin, 1977).
6. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1982).
7. M. A. Nielsen and I. L. Chuang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.321 79, 321 (1997).
8. G. Vidal, L. Masanes, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.047905 88, 047905 (2002).
9. M. Hillery, V. Bu Beek, and M. Ziman, Fortschr. Phys. FPYKA6 0015-8208 10.1002/1521-3978(200110)49:10/11<987::AID-PROP987>3.3.CO;2-J 49, 987 (2001).
10. M. Hillery, V. Bu Beek, and M. Ziman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.022301 65, 022301 (2002).
11. M. Hillery, M. Ziman, and V. Bu Beek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.042302 66, 042302 (2002).
12. M. Ziman and V. Bu Beek, Int. J. Quantum Inf. 0219-7499 10.1039/jr9350000527 1, 527 (2003).
13. M. Hillery, M. Ziman, and V. Bu Beek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042311 69, 042311 (2004).
14. A. Brazier, V. Bu Beek, and P. L. Knight, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032306 71, 032306 (2005).
15. A. Yu. Vlasov, quant-ph/0205074.
16. A. Yu. Vlasov, quant-ph/0503230.
17. M. Du and V. Bu Beek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66. 022112 66, 022112 (2002).
18. J. Fiur, M. Du, and R. Filip, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.190401 89, 190401 (2002).
19. J. Fiur and M. Du, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69. 032302 69, 032302 (2004).
20. J. A. Bergou, M. Hillery and V. Bu Beek, (unpublished).
21. J. P. Paz and A. Roncaglia, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.052316 68, 052316 (2003).
22. A. K. Ekert, C. M. Alves, D. K. L. Oi, M. Horodecki, P. Horodecki, and L. C. Kwek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.217901 88, 217901 (2002).
23. G. M. Dariano, P. Perinotti, and M. F. Sacchi, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10079-1 65, 165 (2004).
24. G. M. Dariano, P. Perinotti, and M. F. Sacchi, in Proceedings of the 8th International Conference on Squeezed States and Uncertainty Relations, edited by H. Moya-Cessa (Rinton, Princeton, 2003), p. 86.
25. G. M. Dariano and P. Perinotti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.090401 94, 090401 (2005).
26. S. Braunstein, V. Bu Beek, and M. Hillery, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.052313 63, 052313 (2001).
27. M. Ro, V. Bu Beek, P. R. Chouha, and M. Hillery, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.062302 68, 062302 (2003).
28. J. M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1737053 45, 2171 (2004).
29. P. Telmachovi (private communication).