Optimal observables for minimum-error state discrimination in general probabilistic theories
نویسندگان
چکیده
منابع مشابه
Optimal Observables for Minimum-Error State Discrimination in General Probabilistic Theories
General Probabilistic Theories provide the most general mathematical framework for the theory of probability in an operationally natural manner, and generalize classical and quantum theories. In this article, we study state-discrimination problems in general probabilistic theories using a Bayesian strategy. After re-formulation of the theories with mathematical rigor, we first prove that an opt...
متن کاملStructure of Optimal State Discrimination in Generalized Probabilistic Theories
We consider optimal state discrimination in a general convex operational framework, so-called generalized probabilistic theories (GPTs), and present a general method of optimal discrimination by applying the complementarity problem from convex optimization. The method exploits the convex geometry of states but not other detailed conditions or relations of states and effects. We also show that p...
متن کاملStructure of minimum-error quantum state discrimination
Distinguishing different quantum states is a fundamental task having practical applications in information processing. Despite the effort devoted so far, however, strategies for optimal discrimination are known only for specific examples. In this paper we consider the problem of minimum-error quantum state discrimination where one attempts to minimize the average error. We show the general stru...
متن کاملOptimal Search for Minimum Error Rate Training
Minimum error rate training is a crucial component to many state-of-the-art NLP applications, such as machine translation and speech recognition. However, common evaluation functions such as BLEU or word error rate are generally highly non-convex and thus prone to search errors. In this paper, we present LP-MERT, an exact search algorithm for minimum error rate training that reaches the global ...
متن کاملMinimum-error discrimination between mixed quantum states
We derive a general lower bound on the minimum-error probability for ambiguous discrimination between arbitrary m’s mixed quantum states with given prior probabilities. When m = 2, this bound is precisely the well-known Helstrom limit. Also, we give a general lower bound on the minimum-error probability for discriminating quantum operations. In particular, we show necessary and sufficient condi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2010
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3479008