Decision-theoretic framework for quantum uncertainty
A decision-theoretic framework addresses two forms of uncertainty in quantum mechanics: unknown quantum states and inherent measurement uncertainty. Measurements are modeled as acts with uncertain outcomes, with Born's rule embedded in utility functions. This approach separates precise probability theory from quantum mechanics, allowing for imprecise probabilities. It provides a decision-theoretic foundation for work by Benavoli, Facchini, and others.
Key facts
- arXiv:2503.20607v3
- Decision-theoretic framework for quantum uncertainty
- Two-fold uncertainty: state uncertainty and measurement outcome uncertainty
- Measurements act as acts with uncertain outcomes
- Born's rule encapsulated in utility functions
- Uncouples precise probability theory from quantum mechanics
- Allows for imprecise probabilities
- Foundation for work by Benavoli, Facchini
Entities
Institutions
- arXiv