Loss-error compensation in quantum-state measurements

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 57, Issue 4, 1998, Pages 3131-3133

  D'Ariano G M ^a   Macchiavello, C ^b  

^a UNIVERSITY OF PAVIA   (Italy)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000090127     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.57.3131     Document Type: Article

References (14)

1. G. M. D’Ariano, U. Leonhardt, and H. Paul, Phys. Rev. A 52, R1801 (1995).PLRAAN
2. G. M. D’Ariano and H. P. Yuen, Phys. Rev. Lett. 76, 2832 (1996).PRLTAO
3. T. Kiss, U. Herzog, and U. Leonhardt, Phys. Rev. A 52, 2433 (1995).PLRAAN
4. U. Herzog, Phys. Rev. A 53, 1245 (1996).PLRAAN
5. Notice, however, that the convergence radius (Formula presented) is the square root of the convergence radius of the series (1).
6. U. Leonhardt, M. Munroe, T. Kiss, Th. Richter, and M. G. Raymer, Opt. Commun. 127, 144 (1996).OPCOB8
7. An exhaustive analysis of the statistical errors arising in homodyne tomography is given in G. M. D’Ariano, C. Macchiavello, and N. Sterpi, Quantum Semiclassic Opt. 9, 929(1997) (e-print quant-ph/9701010). A precise estimate of the saturation values for the statistical errors is obtained by taking into account the fast oscillating behavior of the kernel functions for large indexes of the matrix elements, and is given by (Formula presented)As (Formula presented) for large values of (Formula presented) (Formula presented) can be considered constant over a cycle (Formula presented) and the integral over (Formula presented) gives (Formula presented) A similar argument holds also for off-diagonal elements. This saturation value is overestimated by a factor (Formula presented) in Ref. 6.QUSOEC
8. G. M. D’Ariano, in Quantum Communication, Computing and Measurement, edited by O. Hirota, A. S. Holevo, and C. M. Caves (Plenum, New York, 1997), p. 253. In this paper it is shown that half a photon of thermal noise has the same effect of a quantum efficiency at the bound (Formula presented)
9. P. J. Bardoff, E. Mayr, and W. P. Schleich, Phys. Rev. A 51, 4963 (1995); PLRAAN
10. Phys. Rev. AP. J. Bardoff, E. Mayr, W. P. Schleich, P. Domokos, M. Brune, J. M. Raimond, and S. Haroche, 53, 2736 (1996);
11. R. Walser, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 77, 2658 (1996).PRLTAO
12. K. Banaszek and K. Wódkiewicz, Phys. Rev. Lett. 76, 4344 (1996). PRLTAO
13. H. Paul, P. Törmä, T. Kiss, and I. Jex, Phys. Rev. Lett. 76, 2464 (1996); PRLTAO
14. S. Wallentovitz and W. Vogel, Phys. Rev. A 53, 4528 (1996). PLRAAN