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Quantum instruments: I. Extreme instruments
Tekijät: Pellonpaa JP
Kustantaja: IOP PUBLISHING LTD
Julkaisuvuosi: 2013
Journal: Journal of Physics A: Mathematical and Theoretical
Tietokannassa oleva lehden nimi: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Lehden akronyymi: J PHYS A-MATH THEOR
Artikkelin numero: ARTN 025302
Numero sarjassa: 2
Vuosikerta: 46
Numero: 2
Sivujen määrä: 16
ISSN: 1751-8113
DOI: https://doi.org/10.1088/1751-8113/46/2/025302
Tiivistelmä
The structure of completely positive quantum instruments is analyzed thoroughly. We characterize the extreme points of the convex set of instruments. The characterization holds also for nondiscrete instruments in infinite dimensions, and is applied to quantum observables, channels, and preparations which are special cases of instruments. We show that extreme instruments are discrete in finite dimensions.
The structure of completely positive quantum instruments is analyzed thoroughly. We characterize the extreme points of the convex set of instruments. The characterization holds also for nondiscrete instruments in infinite dimensions, and is applied to quantum observables, channels, and preparations which are special cases of instruments. We show that extreme instruments are discrete in finite dimensions.
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