Conditioning Through Indifference in Quantum Mechanics
Abstract
We can learn (more) about the state that a quantum system is in through measurements. We look at how to describe the uncertainty about a quantum system’s state conditional on executing such measurements. We show that by exploiting the interplay between desirability, coherence and indifference, a general rule for conditioning can be derived. We then apply this rule to conditioning on measurement outcomes, and show how it generalises to conditioning on a set of measurement outcomes.
Cite
Text
De Vos and Cooman. "Conditioning Through Indifference in Quantum Mechanics." Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications, 2025.Markdown
[De Vos and Cooman. "Conditioning Through Indifference in Quantum Mechanics." Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications, 2025.](https://mlanthology.org/isipta/2025/devos2025isipta-conditioning/)BibTeX
@inproceedings{devos2025isipta-conditioning,
title = {{Conditioning Through Indifference in Quantum Mechanics}},
author = {De Vos, Keano and Cooman, Gert},
booktitle = {Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications},
year = {2025},
pages = {137-147},
volume = {290},
url = {https://mlanthology.org/isipta/2025/devos2025isipta-conditioning/}
}