Non-disturbing quantum measurements
Quantum Physics
2010-09-10 v2 Mathematical Physics
math.MP
Abstract
We consider pairs of quantum observables (POVMs) and analyze the relation between the notions of non-disturbance, joint measurability and commutativity. We specify conditions under which these properties coincide or differ---depending for instance on the interplay between the number of outcomes and the Hilbert space dimension or on algebraic properties of the effect operators. We also show that (non-)disturbance is in general not a symmetric relation and that it can be decided and quantified by means of a semidefinite program.
Cite
@article{arxiv.1005.5659,
title = {Non-disturbing quantum measurements},
author = {Teiko Heinosaari and Michael M. Wolf},
journal= {arXiv preprint arXiv:1005.5659},
year = {2010}
}
Comments
Minor corrections in v2