Discrimination with an error margin among three symmetric states of a qubit

Material type: 文書・図像類

Author: SUGIMOTO, H.ほか

Publisher: American Physical Society through the American Institute of Physics

Publication date: 2012-10

Material Format: Digital

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Note (General)：: We consider a state discrimination problem which deals with settings of minimum-error and unambiguous discrimination systematically by introducing a m...

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Material Type: 文書・図像類
Title: Discrimination with an error margin among three symmetric states of a qubit
Author/Editor: SUGIMOTO, H.
TANINAKA, Y.
HAYASHI, A.
Author Heading: SUGIMOTO, H.
TANINAKA, Y.
HAYASHI, A.
Publication, Distribution, etc.: American Physical Society through the American Institute of Physics
Publication Date: 2012-10
Publication Date (W3CDTF): 2012-10
Periodical title: Physical review. A
No. or year of volume/issue: 86 4
Volume: 86
Issue: 4
Pages: 42311-
ISSN (Periodical Title): ISSN : 1050-2947
Text Language Code: eng
Target Audience: 一般
Note (General): We consider a state discrimination problem which deals with settings of minimum-error and unambiguous discrimination systematically by introducing a margin for the probability of an incorrect guess. We analyze discrimination of three symmetric pure states of a qubit. The measurements are classified into three types, and one of the three types is optimal depending on the value of the error margin. The problem is formulated as one of semidefinite programming. Starting with the dual problem derived from the primal one, we analytically obtain the optimal success probability and the optimal measurement that attains it in each domain of the error margin. Moreover, we analyze the case of three symmetric mixed states of a qubit.
Access Restrictions: 限定公開
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 福井大学 : 福井大学学術機関リポジトリ