منابع مشابه
On Quantum Statistical Inference
Recent developments in the mathematical foundations of quantum mechanics have brought the theory closer to that of classical probability and statistics. On the other hand, the unique character of quantum physics sets many of the questions addressed apart from those met classically in stochastics. Furthermore, concurrent advances in experimental techniques and in the theory of quantum computatio...
متن کاملGeometry of Quantum Statistical Inference.
An efficient geometric formulation of the problem of parameter estimation is developed, based on Hilbert space geometry. This theory, which allows for a transparent transition between classical and quantum statistical inference, is then applied to the analysis of exponential families of distributions (of relevance to statistical mechanics) and quantum mechanical evolutions. The extension to qua...
متن کاملQInfer: Statistical inference software for quantum applications
sample(n): Returns n samples from the represented distribution.
متن کامل4 Sufficiency in quantum statistical inference
This paper attempts to develop a theory of sufficiency in the setting of non-commutative algebras parallel to the ideas in classical mathematical statistics. Sufficiency of a coarse-graining means that all information is extracted about the mutual relation of a given family of states. In the paper sufficient coarse-grainings are characterized in several equivalent ways and the non-commutative a...
متن کاملSu ciency in quantum statistical inference
This paper attempts to develop a theory of su ciency in the setting of non-commutative algebras parallel to the ideas in classical mathematical statistics. Su ciency of a coarse-graining means that all information is extracted about the mutual relation of a given family of states. In the paper su cient coarse-grainings are characterized in several equivalent ways and the non-commutative analogu...
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ژورنال
عنوان ژورنال: Statistical Science
سال: 1993
ISSN: 0883-4237
DOI: 10.1214/ss/1177010787