Approximating incompatible von Neumann measurements simultaneously
Quantum Physics
2010-10-12 v2
Abstract
We study the problem of performing orthogonal qubit measurements simultaneously. Since these measurements are incompatible, one has to accept additional imprecision. An optimal joint measurement is the one with the least possible imprecision. All earlier considerations of this problem have concerned only joint measurability of observables, while in this work we also take into account conditional state transformations (i.e., instruments). We characterize the optimal joint instrument for two orthogonal von Neumann instruments as being the Luders instrument of the optimal joint observable.
Keywords
Cite
@article{arxiv.1005.0472,
title = {Approximating incompatible von Neumann measurements simultaneously},
author = {Teiko Heinosaari and Maria Anastasia Jivulescu and Daniel Reitzner and Mario Ziman},
journal= {arXiv preprint arXiv:1005.0472},
year = {2010}
}
Comments
9 pages, 4 figures; v2 has a more extensive introduction + other minor corrections