Post-processing minimal joint observables

Teiko Heinosaari, Yui Kuramochi

研究成果: ジャーナルへの寄稿学術誌査読

2 被引用数 (Scopus)

抄録

A finite set of quantum observables (positive operator valued measures) is called compatible if these observables are marginals of a some observable, called a joint observable of them. For a given set of compatible observables, their joint observable is in general not unique and it is desirable to take a minimal joint observable in the post-processing order since a less informative observable disturbs the system less. We address the question of the minimality of finite-outcome joint observables and prove that any joint observable is lower bounded by a minimal joint observable in the post-processing order. We also give characterizations of the minimality of a joint observable that can be checked by finite-step algorithms and apply them to the case of non-commuting dichotomic qubit observables.

本文言語英語
論文番号065301
ジャーナルJournal of Physics A: Mathematical and Theoretical
52
6
DOI
出版ステータス出版済み - 1月 11 2019
外部発表はい

!!!All Science Journal Classification (ASJC) codes

  • 統計物理学および非線形物理学
  • 統計学および確率
  • モデリングとシミュレーション
  • 数理物理学
  • 物理学および天文学(全般)

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