Incompatibility breaking quantum channels

Teiko Heinosaari, Jukka Kiukas, Daniel Reitzner, Jussi Schultz

Research output: Contribution to journalArticlepeer-review

43 Citations (SciVal)


A typical bipartite quantum protocol, such as EPR-steering, relies on two quantum features, entanglement of states and incompatibility of measurements. Noise can delete both of these quantum features. In this work we study the behavior of incompatibility under noisy quantum channels. The starting point for our investigation is the observation that compatible measurements cannot become incompatible by the action of any channel. We focus our attention to channels which completely destroy the incompatibility of various relevant sets of measurements. We call such channels incompatibility breaking, in analogy to the concept of entanglement breaking channels. This notion is relevant especially for the understanding of noise-robustness of the local measurement resources for steering
Original languageEnglish
Article number435301
Pages (from-to)1-23
Number of pages23
JournalJournal of Physics A: Mathematical and Theoretical
Issue number43
Publication statusPublished - 07 Oct 2015


  • incompatibility
  • quantum channel
  • quantum measurement
  • quantum observable
  • steering


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