Quantum measurements on finite dimensional systems: relabeling and mixing
Quantum Physics
2012-10-23 v2
Abstract
Concentrating on finite dimensional systems, we show that one can limit to extremal rank-1 POVMs if two simple procedures of mixing and relabeling are permitted. We demonstrate that any finite outcome POVM can be obtained from extremal rank-1 POVMs with these two procedures. In particular, extremal POVMs with higher rank are just relabelings of extremal rank-1 POVMs and their structure is therefore clarified.
Cite
@article{arxiv.1104.4886,
title = {Quantum measurements on finite dimensional systems: relabeling and mixing},
author = {Erkka Haapasalo and Teiko Heinosaari and Juha-Pekka Pellonpää},
journal= {arXiv preprint arXiv:1104.4886},
year = {2012}
}
Comments
one new section in v2