Generalized quantum measurements. Part II: Partially-destructive quantum measurements in finite-dimensional Hilbert spaces
Abstract
A concept of the generalized quantum measurement is introduced as the transformation, which establishes a correspondence between the initial states of the object system and final states of the object--measuring device (meter) system with the help of a classical informational index, unambiguously linked to the classically compatible set of states of the object--meter system. It is shown that the generalized measurement covers all the key known quantum measurement concepts--standard projective, entangling, fuzzy and the generalized measurement with the partial or complete destruction of the initial information contained in the object. A special class of partially-destructive measurements that map the continual set of the states in finite-dimensional quantum systems to that one of the infinite-dimensional quantum systems is considered. Their informational essence and some information characteristics are discussed in detail.
Keywords
Cite
@article{arxiv.quant-ph/0506046,
title = {Generalized quantum measurements. Part II: Partially-destructive quantum measurements in finite-dimensional Hilbert spaces},
author = {Boris A. Grishanin and Victor N. Zadkov},
journal= {arXiv preprint arXiv:quant-ph/0506046},
year = {2007}
}
Comments
15 pages, 3 figures, 15 refs