Maximum-likelihood estimation of photon-number distribution from homodyne statistics

被引:52
作者
Banaszek, K [1 ]
机构
[1] Univ Warsaw, Inst Theoret Phys, PL-00681 Warsaw, Poland
来源
PHYSICAL REVIEW A | 1998年 / 57卷 / 06期
关键词
D O I
10.1103/PhysRevA.57.5013
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We present a method for reconstructing the photon-number distribution from the homodyne statistics based on maximization of the likelihood function derived from the exact statistical description of a homodyne experiment. This method incorporates in a natural way the physical constraints on the reconstructed quantities, and the compensation for the nonunit detection efficiency.
引用
收藏
页码:5013 / 5015
页数:3
相关论文
共 12 条
[1]   Operational theory of homodyne detection [J].
Banaszek, K ;
Wodkiewicz, K .
PHYSICAL REVIEW A, 1997, 55 (04) :3117-3123
[2]  
Breitenbach G, 1997, J MOD OPTIC, V44, P2207, DOI 10.1080/095003497152456
[3]   Measurement of the quantum states of squeezed light [J].
Breitenbach, G ;
Schiller, S ;
Mlynek, J .
NATURE, 1997, 387 (6632) :471-475
[4]   DETECTION OF THE DENSITY-MATRIX THROUGH OPTICAL HOMODYNE TOMOGRAPHY WITHOUT FILTERED BACK-PROJECTION [J].
DARIANO, GM ;
MACCHIAVELLO, C ;
PARIS, MGA .
PHYSICAL REVIEW A, 1994, 50 (05) :4298-4302
[5]  
EADIE WT, 1971, STATISTICAL METHODS, pCH7
[6]   Quantum-state estimation [J].
Hradil, Z .
PHYSICAL REVIEW A, 1997, 55 (03) :R1561-R1564
[7]   Sampling of photon statistics and density matrix using homodyne detection [J].
Leonhardt, U ;
Munroe, M ;
Kiss, T ;
Richter, T ;
Raymer, MG .
OPTICS COMMUNICATIONS, 1996, 127 (1-3) :144-160
[8]   PHOTON-NUMBER STATISTICS FROM THE PHASE-AVERAGED QUADRATURE-FIELD DISTRIBUTION - THEORY AND ULTRAFAST MEASUREMENT [J].
MUNROE, M ;
BOGGAVARAPU, D ;
ANDERSON, ME ;
RAYMER, MG .
PHYSICAL REVIEW A, 1995, 52 (02) :R924-R927
[9]   Least-squares inversion for density-matrix reconstruction [J].
Opatrny, T ;
Welsch, DG ;
Vogel, W .
PHYSICAL REVIEW A, 1997, 56 (03) :1788-1799
[10]  
PRESS WH, 1992, NUMERICAL RECIPES C, pCH10