Instruments and mutual entropies in quantum information

Alberto Barchielli, and Giancarlo Lupieri. "Instruments and mutual entropies in quantum information." Banach Center Publications 73.1 (2006): 65-80. <http://eudml.org/doc/281738>.

@article{AlbertoBarchielli2006,
abstract = {General quantum measurements are represented by instruments. In this paper the mathematical formalization is given of the idea that an instrument is a channel which accepts a quantum state as input and produces a probability and an a posteriori state as output. Then, by using mutual entropies on von Neumann algebras and the identification of instruments and channels, many old and new informational inequalities are obtained in a unified manner. Such inequalities involve various quantities which characterize the performances of the instrument under study; in particular, these inequalities include and generalize the famous Holevo's bound.},
author = {Alberto Barchielli, Giancarlo Lupieri},
journal = {Banach Center Publications},
keywords = {instrument; quantum channel; mutual entropy; Holevo's bound},
language = {eng},
number = {1},
pages = {65-80},
title = {Instruments and mutual entropies in quantum information},
url = {http://eudml.org/doc/281738},
volume = {73},
year = {2006},
}

TY - JOUR
AU - Alberto Barchielli
AU - Giancarlo Lupieri
TI - Instruments and mutual entropies in quantum information
JO - Banach Center Publications
PY - 2006
VL - 73
IS - 1
SP - 65
EP - 80
AB - General quantum measurements are represented by instruments. In this paper the mathematical formalization is given of the idea that an instrument is a channel which accepts a quantum state as input and produces a probability and an a posteriori state as output. Then, by using mutual entropies on von Neumann algebras and the identification of instruments and channels, many old and new informational inequalities are obtained in a unified manner. Such inequalities involve various quantities which characterize the performances of the instrument under study; in particular, these inequalities include and generalize the famous Holevo's bound.
LA - eng
KW - instrument; quantum channel; mutual entropy; Holevo's bound
UR - http://eudml.org/doc/281738
ER -