Minimal informationally complete measurements for pure states

Foundations of Physics

Volumn 35, Issue 12, 2005, Pages 1985-2006

  Flammia, Steven T ^a   Silberfarb, Andrew ^a   Caves, Carlton M ^a  

^a UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

Informationally complete measurement; Positive Operator Valued Measure; Quantum state tomography

Indexed keywords

EID: 29144467048     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10701-005-8658-z     Document Type: Article

References (18)

1. E. Prugovečki, Int. J. Theor. Phys. 16, 321 (1977).
2. P. Busch and P. J. Lahti, Found. Phys. 19, 633 (1989).
3. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, The Netherlands, 1993). POVMs are discussed in Sees. 9-5 and 9-6, and PSI-complete measurements in Sec. 3-5.
4. C. M. Caves, C. A. Fuchs, and R. Schack, J. Math. Phys. 43, 4537 (2002).
5. J. M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves, J. Math. Phys. 45, 2171 (2004).
6. J. M. Renes, Phys. Rev. A 70, 052314 (2004).
7. C. A. Fuchs, "On the quantumness of a Hilbert space," arxiv.org e-print quant-ph/0404122.
8. C. A. Fuchs and M. Sasaki, Quant. Inf. Comp. 3, 377 (2003).
9. W. Pauli, in Handbuch der Physik, Vol. XXIV, Pt. 1, edited by H. Geiger and K. Scheel (Springer, Berlin, 1933), p. 98;
10. reprinted in Encyclopedia of Physics, Vol. V, Part 1 (Springer, Berlin, 1958), p. 17.
11. S. Weigert, Phys. Rev. A 45, 7688 (1992).
12. S. Weigert, Phys. Rev. A 53, 2078 (1996).
13. J. V. Corbett and C. A. Hurst, J. Austral. Math. Soc. B 20, 182 (1978).
14. J.-P. Amiet and S. Weigert, J. Phys. A 32, 2777 (1999).
15. J.-P. Amiet and S. Weigert, J. Opt. B 1, L5 (1999).
16. A. Peres and W. K. Wootters, Phys. Rev. A 66, 1119 (1992).
17. S. Iyanaga and Y. Kawada, eds., Encyclopedic Dictionary of Mathematics (Cambridge, MA, MIT Press, 1980), p. 682.
18. J. A. Wyler, Gen. Rel. Grav. 5, 175 (1974).