Quantifying quantum coherence and the deviation from the total probability formula

Autor(en)

Antoine Soulas

Abstrakt

We propose a novel approach to quantify quantum coherence which, contrary to the previous ones, does not rely on resource theory but rather on ontological considerations. In this framework, coherence is understood as the ability of a quantum system's statistics to deviate from the total probability formula. After motivating the importance of the total probability formula in quantum foundations, we propose a new set of axioms that a measure of coherence should satisfy, and show that it defines a class of measures different from the main previous proposal. Finally, we prove a general result about the dependence of the l2-coherence norm on the basis of interest, and show that it is well approximated by the square root of the purity in most bases.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Österreichische Akademie der Wissenschaften (ÖAW)

Journal

International Journal of Quantum Information

ISSN

0219-7499

DOI

https://doi.org/10.48550/arXiv.2410.12670

Publikationsdatum

03-2025

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik, 103025 Quantenmechanik

Schlagwörter

ASJC Scopus Sachgebiete

Physics and Astronomy (miscellaneous)

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/1de12b95-f4ba-479c-8a53-eb97f695c104