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Quantum State Preparation Representation
What non-additive integral for ensemble spaces?
arXiv
Authors: Gabriele Carcassi, Christine A. Aidala, Tobias Thrien
Year
2026
Paper ID
3001
Status
Preprint
Abstract Read
~2 min
Abstract Words
83
Citations
N/A
Abstract
In a previous work we were able to define a non-additive measure that can be used to represent both classical and quantum states in physics. We further extended this idea to work on a generic space of statistical ensembles (i.e. an ensemble space) in a way that connects to Choquet theory. The question of which non-additive integral is suitable to generalize the notion of expectation value remains open. In this paper we show that the Sugeno and Choquet integrals are not suitable.
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- This paper contributes to the Quantum State Preparation & Representation research area in the Quantum Articles archive.
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- In a previous work we were able to define a non-additive measure that can be used to represent both classical and quantum states in physics.
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