Conditioning through indifference in quantum mechanics

Keano De Vos, Gert de Cooman
Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications, PMLR 290:137-147, 2025.

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 this Paper

BibTeX
@InProceedings{pmlr-v290-de-vos25a, title = {Conditioning through indifference in quantum mechanics}, author = {De Vos, Keano and de Cooman, Gert}, booktitle = {Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications}, pages = {137--147}, year = {2025}, editor = {Destercke, Sébastien and Erreygers, Alexander and Nendel, Max and Riedel, Frank and Troffaes, Matthias C. M.}, volume = {290}, series = {Proceedings of Machine Learning Research}, month = {15--18 Jul}, publisher = {PMLR}, pdf = {https://raw.githubusercontent.com/mlresearch/v290/main/assets/de-vos25a/de-vos25a.pdf}, url = {https://proceedings.mlr.press/v290/de-vos25a.html}, 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.} }
Endnote
%0 Conference Paper %T Conditioning through indifference in quantum mechanics %A Keano De Vos %A Gert de Cooman %B Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications %C Proceedings of Machine Learning Research %D 2025 %E Sébastien Destercke %E Alexander Erreygers %E Max Nendel %E Frank Riedel %E Matthias C. M. Troffaes %F pmlr-v290-de-vos25a %I PMLR %P 137--147 %U https://proceedings.mlr.press/v290/de-vos25a.html %V 290 %X 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.
APA
De Vos, K. & de Cooman, G.. (2025). Conditioning through indifference in quantum mechanics. Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications, in Proceedings of Machine Learning Research 290:137-147 Available from https://proceedings.mlr.press/v290/de-vos25a.html.

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