Locality and nonlocality in quantum pure-state identification problems

Material type: 文書・図像類

Author: ISHIDA, Yほか

Publisher: American Physical Society

Publication date: 2008-07

Material Format: Digital

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Note (General)：: Suppose we want to identify an input state with one of two unknown reference states, where the input state is guaranteed to be equal to one of the ref...

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Material Type: 文書・図像類
Title: Locality and nonlocality in quantum pure-state identification problems
Author/Editor: ISHIDA, Y
HASHIMOTO, T
HORIBE, M
Author Heading: ISHIDA, Y
HASHIMOTO, T
HORIBE, M
Publication, Distribution, etc.: American Physical Society
Publication Date: 2008-07
Publication Date (W3CDTF): 2008-07
Periodical title: PHYSICAL REVIEW A
No. or year of volume/issue: 78 1
Volume: 78
Issue: 1
Pages: 012309-1-012309-11
ISSN (Periodical Title): ISSN : 1050-2947
Text Language Code: eng
Target Audience: 一般
Note (General): Suppose we want to identify an input state with one of two unknown reference states, where the input state is guaranteed to be equal to one of the reference states. We assume that no classical knowledge of the reference states is given, but a certain number of copies of them are available instead. Two reference states are independently and randomly chosen from the state space in a unitary invariant way. This is called the quantum state identification problem, and the task is to optimize the mean identification success probability. In this paper, we consider the case where each reference state is pure and bipartite, and generally entangled. The question is whether the maximum mean identification success probability can be attained by means of a local operations and classical communication (LOCC) measurement scheme. Two types of identification problem are considered when a single copy of each reference state is available. We show that a LOCC scheme attains the globally achievable identification probability in the minimum-error identification problem. In the unambiguous identification problem, however, the maximal success probability by means of LOCC is shown to be less than the globally achievable identification probability.
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