Sequential measurements of conjugate observables
Quantum Physics
2011-06-23 v1 Mathematical Physics
math.MP
Abstract
We present a unified treatment of sequential measurements of two conjugate observables. Our approach is to derive a mathematical structure theorem for all the relevant covariant instruments. As a consequence of this result, we show that every Weyl-Heisenberg covariant observable can be implemented as a sequential measurement of two conjugate observables. This method is applicable both in finite and infinite dimensional Hilbert spaces, therefore covering sequential spin component measurements as well as position-momentum sequential measurements.
Cite
@article{arxiv.1105.4976,
title = {Sequential measurements of conjugate observables},
author = {Claudio Carmeli and Teiko Heinosaari and Alessandro Toigo},
journal= {arXiv preprint arXiv:1105.4976},
year = {2011}
}
Comments
25 pages