Quantum phase amplification

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 54, Issue 6, 1996, Pages 4712-4718

  D'Ariano G M ^a   Macchiavello, C ^a   Sterpi, N ^a   Yuen, H P ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001583495     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.54.4712     Document Type: Article

References (22)

1. H. P. Yuen, Phys. Lett. A 113, 405 (1986).
2. H. P. Yuen, Opt. Lett. 12, 789 (1987).
3. H. P. Yuen, Phys. Rev. Lett. 56, 2176 (1986).
4. H. P. Yuen, in Quantum Aspects of Optical Communications, Lecture Notes in Physics Vol. 378, edited by C. Bendjaballah, O. Hirota, and S. Reynaud (Springer, Berlin, 1991), p. 333.
5. J. R. Barry and E. A. Lee, Proc. IEEE 78, 1369 (1990).
6. C. W. Helstrom, Quantum Detection and Estimation Theory (Academic, New York 1976). For short accounts on POM's see also Ref. 10.
7. Omitted end note.
8. Omitted end note.
9. J. W. Noh, A. Fougeres and L. Mandel, Phys. Rev. A 45, 424 (1992).
10. G. M. D'Ariano and M. G. A. Paris, Phys. Rev. A 49, 3022 (1994).
11. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1982).
12. The POM is optimized according to some goodness criterion, usually by minimizing the average cost for some ``cost function.'' The ideal POM (7) minimizes the average cost for a large class of cost functions, including those corresponding to max-likelihood criterion and minimum 2π-periodic rms noise: see 11.
13. G. M. D'Ariano, Phys. Rev. A 45, 3224 (1992).
14. J. H. Shapiro and S. R. Shepard, Phys. Rev. A 43, 3795 (1991).
15. The integer nature of the number operator leads to number fluctuations related to the fractional part of the division of the photon number by the integer gain g. However, this additional noise becomes negligible for input photon numbers 〈ň(Formula presented)≫:g (see Ref. 13).
16. The need of an auxiliary idler mode is a common feature of all amplifiers, with the exception of the PSA.
17. M. J. W. Hall, J. Mod. Opt. 40, 809 (1993)
18. We use squeezed states with a squeezing fraction sufficiently low such that tails of the phase probability distribution at φ+π are negligible.
19. R. E. Blahut, Principles and Practice of Information Theory (Addison-Wesley, Reading, MA, 1987).
20. G. M. D'Ariano, Int. J. Mod. Phys. B 6, 1291 (1992).
21. G. M. D'Ariano and C. Macchiavello, Phys. Rev. A 48, 3947 (1993).
22. G. M. D'Ariano, C. Macchiavello, and M. Paris, in Second International Workshop on Squeezed States and Uncertainty Relations, edited by D. Han et al (NASA CP-3219, Washington DC, 1993), p. 71.