Post-processing minimal joint observables

Teiko Heinosaari, Yui Kuramochi

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Article number065301
JournalJournal of Physics A: Mathematical and Theoretical
Issue number6
Publication statusPublished - Jan 11 2019
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy


Dive into the research topics of 'Post-processing minimal joint observables'. Together they form a unique fingerprint.

Cite this