English

Robertson-Schr\"odinger formulation of Ozawa's Uncertainty Principle

Quantum Physics 2014-11-11 v1 High Energy Physics - Theory

Abstract

A more general measurement disturbance uncertainty principle is presented in a Robertson-Schr\"odinger formulation. It is shown that it is stronger and having nicer properties than Ozawa's uncertainty relations. In particular is invariant under symplectic transformations. One shows also that there are states of the probe (measuring device) that saturate the matrix formulation of measurement disturbance uncertainty principle.

Keywords

Cite

@article{arxiv.1411.2146,
  title  = {Robertson-Schr\"odinger formulation of Ozawa's Uncertainty Principle},
  author = {Catarina Bastos and A. E. Bernardini and O. Bertolami and N. C. Dias and J. N. Prata},
  journal= {arXiv preprint arXiv:1411.2146},
  year   = {2014}
}

Comments

Based on a talk presented by CB at DICE 2014, Castiglioncello, Italy, 15th-19th September 2014