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Barycentric decomposition for quantum instruments




TekijätPellonpää Juha-Pekka, Haapasalo Erkka, Uola Roope

KustantajaIOP Publishing Ltd

KustannuspaikkaBRISTOL

Julkaisuvuosi2024

JournalJournal of Physics A: Mathematical and Theoretical

Tietokannassa oleva lehden nimiJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Lehden akronyymiJ PHYS A-MATH THEOR

Artikkelin numero 095302

Vuosikerta57

Numero9

Sivujen määrä20

ISSN1751-8113

eISSN1751-8121

DOIhttps://doi.org/10.1088/1751-8121/ad233c

Verkko-osoitehttps://10.1088/1751-8121/ad233c

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/387392222

Preprintin osoitehttps://arxiv.org/abs/2307.08405


Tiivistelmä
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.

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Last updated on 2025-06-03 at 09:43