1999/11/15 by Z. Hradil, Z Hradil, J. Summhammer +1 · 8 citations
Physics and Astronomy · #Measure (data warehouse) #Noncommutative and Quantum Gravity Theories #Quantization (signal processing) #Quantum #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Quantum discord #Quantum state #Quantum system #quant-ph
paper · pdf · doi:10.1088/0305-4470/33/42/309
published in Journal of Physics A Mathematical and General 33(42), 7607-7612 (Institute of Physics) · 3 pages
arxiv created 1999/11/15 · openalex publication_date 2000/10/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The question of what information about a quantum state may be inferred from a sequence of measurements made on it, is addressed. The main result is that maximum-likelihood estimation gives an arguably natural optimum approach in quantum theory. It singles out a particular choice of basis, in which the state is expressed. Various incompatible and incomplete observations made on the ensemble are treated as a complete generalized measurement. Consequently, the maximum likelihood (relative entropy) is the best measure for relating experimental data with theoretical predictions of quantum theory.