Instruments and mutual entropies in quantum information

• Autorzy: Alberto Barchielli , Giancarlo Lupieri
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 81P15: Quantum measurement theory
• 94A17: Measures of information, entropy

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 73
• Numer: 1
• Strony: 65-80

Daty

wydano

2006

Twórcy

autor

Alberto Barchielli

• Politecnico di Milano, Dipartimento di Matematica, Piazza Leonardo da Vinci 32, I-20133 Milano, Italy

autor

Giancarlo Lupieri

• Università degli Studi di Milano, Dipartimento di Fisica, Via Celoria 16, I-20133 Milano, Italy

Identyfikatory

DOI

10.4064/bc73-0-4