A1 Refereed original research article in a scientific journal
Barycentric decomposition for quantum instruments
Authors: Pellonpää Juha-Pekka, Haapasalo Erkka, Uola Roope
Publisher: IOP Publishing Ltd
Publishing place: BRISTOL
Publication year: 2024
Journal: Journal of Physics A: Mathematical and Theoretical
Journal name in source: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Journal acronym: J PHYS A-MATH THEOR
Article number: 095302
Volume: 57
Issue: 9
Number of pages: 20
ISSN: 1751-8113
eISSN: 1751-8121
DOI: https://doi.org/10.1088/1751-8121/ad233c
Web address : https://10.1088/1751-8121/ad233c
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/387392222
Preprint address: https://arxiv.org/abs/2307.08405
We present a barycentric decomposition for quantum instruments whose output space is finite-dimensional and input space is separable. As a special case, we obtain a barycentric decomposition for channels between such spaces and for normalized positive-operator-valued measures in separable Hilbert spaces. This extends the known results by Ali and Chiribella et al on decompositions of quantum measurements, and formalizes the fact that every instrument between finite-dimensional Hilbert spaces can be represented using only finite-outcome instruments.
Downloadable publication This is an electronic reprint of the original article. |  |
