A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Barycentric decomposition for quantum instruments
Tekijät: Pellonpää Juha-Pekka, Haapasalo Erkka, Uola Roope
Kustantaja: IOP Publishing Ltd
Kustannuspaikka: BRISTOL
Julkaisuvuosi: 2024
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: 095302
Vuosikerta: 57
Numero: 9
Sivujen määrä: 20
ISSN: 1751-8113
eISSN: 1751-8121
DOI: https://doi.org/10.1088/1751-8121/ad233c
Verkko-osoite: https://10.1088/1751-8121/ad233c
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/387392222
Preprintin osoite: 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.
Ladattava julkaisu This is an electronic reprint of the original article. |