# Quantum Bayesian Nets

@article{Tucci1995QuantumBN, title={Quantum Bayesian Nets}, author={Robert R. Tucci}, journal={International Journal of Modern Physics B}, year={1995}, volume={09}, pages={295-337} }

We begin with a review of a well-known class of networks, Classical Bayesian (CB) nets (also called causal probabilistic nets by some). Given a situation which includes randomness, CB nets are used to calculate the probabilities of various hypotheses about the situation, conditioned on the available evidence. We introduce a new class of networks, which we call Quantum Bayesian (QB) nets, that generalize CB nets to the quantum mechanical regime. We explain how to use QB nets to calculate quantum…

## 64 Citations

Theory-independent limits on correlations from generalized Bayesian networks

- Computer Science
- 2014

This work generalizes the formalism of classical Bayesian networks in order to investigate non-classical correlations in arbitrary causal structures, and finds that no probabilistic theory predicts perfect correlation between three parties using only bipartite common causes.

Factorization of Quantum Density Matrices According to Bayesian and Markov Networks

- Computer Science
- 2008

It is shown that the graphical rules for d-separation can be used to detect pairs of nodes (or of node sets) in a graph that are unentangled and generalize in a simple and natural way to quantum physics.

Quantum-Like Bayesian Networks for Modeling Decision Making

- Computer ScienceFront. Psychol.
- 2016

The results obtained show that the proposed quantum Bayesian Network is a general method that can accommodate violations of the laws of classical probability theory and make accurate predictions regarding human decision-making in these scenarios.

Information-theoretic implications of quantum causal structures.

- Computer ScienceNature communications
- 2015

A general algorithm for computing information-theoretic constraints on the correlations that can arise from a given causal structure, where it allows for quantum systems as well as classical random variables.

A Quantum Bayes Net Approach to Causal Reasoning

- Computer Science
- 2016

Any classic Bayes net can be generalized to a quantum BayesNet by replacing the probabilities in the classic model with probability amplitudes in the quantum model.

Interference Effects in Quantum Belief Networks

- Computer ScienceAppl. Soft Comput.
- 2014

The Synchronicity Principle Under Quantum Probabilistic Inferences

- Computer Science
- 2015

A new quantum Bayesian Network model inspired by Jung’s Synchronicity principle is proposed in order to compute probabilistic infer¬ences in decision making scenarios and tested in empirical experiments related to categorization/decision in which the law of total probability was being violated.

An Introduction to Quantum Bayesian Networks for Mixed States

- Physics
- 2012

This paper is intended to be a pedagogical introduction to quantum Bayesian networks (QB nets), as I personally use them to represent mixed states (i.e., density matrices, and open quantum systems).…

Quantum Probabilistic Models Revisited: The Case of Disjunction Effects in Cognition

- Computer ScienceFront. Phys.
- 2016

The manner in which the models addressed in this paper can only deal with very small decision problems and why they do not scale well to larger, more complex decision scenarios is discussed.

## References

SHOWING 1-9 OF 9 REFERENCES

Probabilistic reasoning in expert systems - theory and algorithms

- Computer Science
- 1990

This text is a reprint of the seminal 1989 book Probabilistic Reasoning in Expert systems: Theory and Algorithms, which helped serve to create the field the authors now call Bayesian networks and provides an insightful comparison of the two most prominent approaches to probability.

Probabilistic reasoning in intelligent systems - networks of plausible inference

- Computer ScienceMorgan Kaufmann series in representation and reasoning
- 1989

The author provides a coherent explication of probability as a language for reasoning with partial belief and offers a unifying perspective on other AI approaches to uncertainty, such as the Dempster-Shafer formalism, truth maintenance systems, and nonmonotonic logic.

Phys

- Rev. Let. 70, 2201
- 1993

For a review and original references dealing with the Clauser-Horne experiment and its Bell inequalities, see

- R.R. Tucci, J. of Mod. Physics B **

"J."

- PhilosophyThe New Yale Book of Quotations
- 2021

however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)…

Stat. Soc. B

- Stat. Soc. B
- 1988

Proc

- of IJCAI 89
- 1989

Phys. Rev. Let

- Phys. Rev. Let
- 1993

Proc. of IJCAI 89

- Proc. of IJCAI 89
- 1989