Optimal State Discrimination in Generic Probability Models Export

@article{citeulike:3171043, abstract = {We investigate a state discrimination problem in generic probability models which include both classical and quantum theory. Closely related family of ensembles (which we call a Helstrom family of ensembles) with the problem is introduced and we provide a geometrical method to find an optimal measurement for state discrimination by means of Bayesian strategy. We illustrate our method in 2-level quantum systems, and reproduce the optimal success probabilities for binary state discrimination and N numbers of symmetric quantum states. The existences of families of ensembles in binary cases are shown both in classical and quantum theories in any generic cases.}, archivePrefix = {arXiv}, author = {Kimura, Gen and Miyadera, Takayuki and Imai, Hideki}, citeulike-article-id = {3171043}, citeulike-linkout-0 = {http://arxiv.org/abs/0808.3844}, citeulike-linkout-1 = {http://arxiv.org/pdf/0808.3844}, eprint = {0808.3844}, month = {Aug}, posted-at = {2008-08-29 05:00:46}, priority = {2}, title = {Optimal State Discrimination in Generic Probability Models}, url = {http://arxiv.org/abs/0808.3844}, year = {2008} }

TY - JOUR ID - citeulike:3171043 L3 - citeulike-article-id:3171043 N2 - We investigate a state discrimination problem in generic probability models which include both classical and quantum theory. Closely related family of ensembles (which we call a Helstrom family of ensembles) with the problem is introduced and we provide a geometrical method to find an optimal measurement for state discrimination by means of Bayesian strategy. We illustrate our method in 2-level quantum systems, and reproduce the optimal success probabilities for binary state discrimination and N numbers of symmetric quantum states. The existences of families of ensembles in binary cases are shown both in classical and quantum theories in any generic cases. TI - Optimal State Discrimination in Generic Probability Models AU - Kimura, Gen AU - Miyadera, Takayuki AU - Imai, Hideki PY - 2008/Aug/28/ UR - http://arxiv.org/abs/0808.3844 ER -