English

Strongly Incompatible Quantum Devices

Quantum Physics 2014-02-19 v2

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

Cite

@article{arxiv.1209.1382,
  title  = {Strongly Incompatible Quantum Devices},
  author = {Teiko Heinosaari and Takayuki Miyadera and Daniel Reitzner},
  journal= {arXiv preprint arXiv:1209.1382},
  year   = {2014}
}

Comments

27 pages (AMSart), 6 figures

R2 v1 2026-06-21T22:01:07.211Z