Foundations of Physics

, Volume 44, Issue 1, pp 34–57 | Cite as

Strongly Incompatible Quantum Devices

  • Teiko Heinosaari
  • Takayuki Miyadera
  • Daniel Reitzner
Article

Abstract

The fact that there are quantum observables without a simultaneous measurement is one of the fundamental characteristics of quantum mechanics. In this work we expand the concept of joint measurability to all kinds of possible measurement devices, and we call this relation compatibility. Two devices are incompatible if they cannot be implemented as parts of a single measurement setup. We introduce also a more stringent notion of incompatibility, strong incompatibility. Both incompatibility and strong incompatibility are rigorously characterized and their difference is demonstrated by examples.

Keywords

Quantum measurements Coexistence Joint measurability Compatibility 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Teiko Heinosaari
    • 1
  • Takayuki Miyadera
    • 2
  • Daniel Reitzner
    • 3
    • 4
  1. 1.Turku Centre for Quantum Physics, Department of Physics and AstronomyUniversity of TurkuTurkuFinland
  2. 2.Department of Nuclear EngineeringKyoto UniversityKyotoJapan
  3. 3.Department of MathematicsTechnische Universität MünchenGarchingGermany
  4. 4.Research Center for Quantum InformationSlovak Academy of SciencesBratislavaSlovakia

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