Informationally complete joint measurements on finite quantum systems
Quantum Physics
2012-05-28 v1
Abstract
We show that there are informationally complete joint measurements of two conjugated observables on a finite quantum system, meaning that they enable to identify all quantum states from their measurement outcome statistics. We further demonstrate that it is possible to implement a joint observable as a sequential measurement. If we require minimal noise in the joint measurement, then the joint observable is unique. If the dimension d is odd, then this observable is informationally complete. But if d is even, then the joint observable is not informationally complete and one has to allow more noise in order to obtain informational completeness.
Cite
@article{arxiv.1111.3509,
title = {Informationally complete joint measurements on finite quantum systems},
author = {Claudio Carmeli and Teiko Heinosaari and Alessandro Toigo},
journal= {arXiv preprint arXiv:1111.3509},
year = {2012}
}