English

Is the Heisenberg uncertainty relation really violated?

Quantum Physics 2016-03-24 v1

Abstract

It has been pointed out that for some types of measurement the Heisenberg uncertainty relation seems to be violated. In order to save the situation a new uncertainty relation was proposed by Ozawa. Here we introduce revised definitions of error and disturbance taking into account the gain associated with generalized measurement interactions. With these new definitions, the validity of the Heisenberg inequality is recovered for continuous linear measurement interactions. We also examine the changes in distribution functions caused by the general measurement interaction and clarify the physical meanings of infinitely large errors and disturbances.

Keywords

Cite

@article{arxiv.0803.4377,
  title  = {Is the Heisenberg uncertainty relation really violated?},
  author = {Masao Kitano},
  journal= {arXiv preprint arXiv:0803.4377},
  year   = {2016}
}

Comments

8 pages, 3 figures

R2 v1 2026-06-21T10:25:56.716Z