Factor Graphs for Quantum Probabilities
A factor-graph representation of quantum-mechanical probabilities (involving any number of measurements) is proposed. Unlike standard statistical models, the proposed representation uses auxiliary variables (state variables) that are not random variables. All joint probability distributions are marginals of some complex-valued function $q$, and it is demonstrated how the basic concepts of quantum mechanics relate to factorizations and marginals of $q$.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
Quantum Structures in Human Decision-making: Towards Quantum Expected Utility
{\it Ellsberg thought experiments} and empirical confirmation of Ellsberg preferences pose serious challenges to {\it subjective expected utility theory} (SEUT). We have recently elaborated a quantum-theoretic framework …
Decision MakingOvercoming Dimensional Factorization Limits in Discrete Diffusion Models through Quantum Joint Distribution Learning
This study explores quantum-enhanced discrete diffusion models to overcome classical limitations in learning high-dimensional distributions. We rigorously prove that classical discrete diffusion models, which calculate p…
DenoisingQuantum Uncertainty in Decision Theory
An approach is presented treating decision theory as a probabilistic theory based on quantum techniques. Accurate definitions are given and thorough analysis is accomplished for the quantum probabilities describing the c…
Decision MakingLeveraging Adiabatic Quantum Computation for Election Forecasting
Accurate, reliable sampling from fully-connected graphs with arbitrary correlations is a difficult problem. Such sampling requires knowledge of the probabilities of observing every possible state of a graph. As graph siz…
Quantum exploration algorithms for multi-armed bandits
Identifying the best arm of a multi-armed bandit is a central problem in bandit optimization. We study a quantum computational version of this problem with coherent oracle access to states encoding the reward probabiliti…
Multi-Armed Bandits