A proof for the informational completeness of the rotated quadrature observables

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 17, 2008, Pages

  Kiukas, J ^a   Lahti, P ^a   Pellonpaa J P ^a  

^a UNIVERSITY OF TURKU   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 42449109013     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/17/175206     Document Type: Article

References (15)

1. Abramowitz M and Stegun I A (ed) 1972 Handbook of Mathematical Functions (National Bureau of Standards, Applied Mathematics Series vol 55) (Washington, DC: National Bureau of Standards) 10th printing with corrections
2. Ali S T and Prugoveki E 1977 Classical and quantum statistical mechanics in a common Liouville space Physica 89A 501-21
3. Birman M S and Solomjak M Z 1987 Spectral Theory of Self-Adjoint Operators in Hilbert Space (Dordrecht: Reidel)
4. Busch P, Grabowski M and Lahti P 1995 Operational Quantum Physics (Lecture Notes in Physics vol m31) (Berlin: Springer) (2nd corrected printing 1997)
5. Dunford N and Schwartz J T 1958 Linear Operators, Part I: General Theory (New York: Interscience)
6. Cassinelli G, D'Ariano G M, De Vito E and Levrero A 2000 Group theoretical quantum tomography J. Math. Phys. 41 7940-51
7. Gradshteyn I S and Ryzhnik I M 1980 Table of Integrals, Series, and Products (Orlando: Academic) (corrected and enlarged edition)
8. Haroche S and Raimond J-M 2006 Exploring the Quantum (Oxford: Oxford University Press)
9. Kiukas J and Lahti P 2007 On the moment limit of quantum observables, with an application to the balanced homodyne detection J. Mod. Opt. at press
10. Leonhard U 1997 Measuring the Quantum State of Light (Cambridge: Cambridge University Press)
11. Paris M G A and ehöek J (ed) 2004 Quantum State Estimation (Berlin: Springer)
12. Putnam C R 1967 Commutation Properties of Hilbert Space Operators and Related Topics (Berlin: Springer)
13. Smithey D T, Beck M, Raymer M G and Faridina A 1993 Measurement of the Wigner distributuon and the density matrix of a light mode using optical homodyne tomography: application to squeezed states and the vacuum Phys. Rev. Lett. 70 1244-7
14. Spanier J and Oldham K B 1987 An Atlas of Functions (New York: Hemisphere)
15. Vogel K and Risken H 1989 Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase Phys. Rev. A 40 2847-9