Quantum channel identification problem

Physical Review A. Atomic, Molecular, and Optical Physics

Volumn 63, Issue 4, 2001, Pages 423041-423044

  Fujiwara, Akio ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON ENERGY LEVELS; LOGIC GATES; MATRIX ALGEBRA; PARAMETER ESTIMATION; RANDOM PROCESSES; STATISTICAL METHODS;

SYMMETRIC LOGARITHMIC DERIVATIVE (SLD);

QUANTUM THEORY;

EID: 4243359617     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. K. Kraus, States, Effects, and Operations, Lecture Notes in Physics Vol. 190 (Springer, Berlin, 1983).
2. A. Fujiwara and P. Algoet, Phys. Rev. A 59, 3290 (1999).
3. C. W. Helstrom, Quantum Detection and Estimation Theory (Academic, New York, 1976).
4. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1982).
5. Intuitively speaking, the monotonicity of the SLD Fisher information implies that the distance of two nearby quantum states measured by the SLD Fisher metric shrinks as they are mapped by a stochastic map. For a complete characterization of monotone metrics, see D. Petz, Linear Algebr. Appl. 244, 81 (1996); D. Petz and Cs. Sudár, Extending the Fisher Metric to Density Matrices, in Geometry in Present Day Sciences, edited by O. E. Barndorff-Nielsen and E. B. Vedel Jensen (World Scientific, Singapore, 1999), pp. 21-33.
6. Intuitively speaking, the monotonicity of the SLD Fisher information implies that the distance of two nearby quantum states measured by the SLD Fisher metric shrinks as they are mapped by a stochastic map. For a complete characterization of monotone metrics, see D. Petz, Linear Algebr. Appl. 244, 81 (1996); D. Petz and Cs. Sudár, Extending the Fisher Metric to Density Matrices, in Geometry in Present Day Sciences, edited by O. E. Barndorff-Nielsen and E. B. Vedel Jensen (World Scientific, Singapore, 1999), pp. 21-33.