Coexistence of effects from an algebra of two projections

Teiko Heinosaari, Jukka Kiukas, Daniel Reitzner

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


The coexistence relation of quantum effects is a fundamental structure, describing those pairs of experimental events that can be implemented in a single setup. Only in the simplest case of qubit effects is an analytic characterization of coexistent pairs known. We generalize the qubit coexistence characterization to all pairs of effects in arbitrary dimensions that belong to the von Neumann algebra generated by two projections. We demonstrate the presented mathematical machinery by several examples, and show that it covers physically relevant classes of effect pairs.
Original languageEnglish
Article number225301
Number of pages22
JournalJournal of Physics A: Mathematical and Theoretical
Issue number22
Publication statusPublished - 15 May 2014
Externally publishedYes


  • coexistence
  • quantum effect
  • two projections
  • von Neumann algebra


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