An Introduction to Quantum Bayesian Networks for Mixed States

Abstract

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). A special effort is made to make contact with notions used in textbooks on quantum Shannon Information Theory (quantum SIT), such as the one by Mark Wilde (arXiv:1106.1445)

20 pages (3 files: 1 .tex, 2 .sty)

References in corpus (6)

• Mixed State Entanglement and Quantum Error Correction
• Towards a Formulation of Quantum Theory as a Causally Neutral Theory of Bayesian Inference
• Lecture Notes on Network Information Theory
• Kindergarten Quantum Mechanics
• Sending quantum entanglement through noisy channels
• Factorization of Quantum Density Matrices According to Bayesian and Markov Networks

Cited by in corpus (6)

• Bayesian Network Structure Learning Using Quantum Annealing
• Some Quantum Information Inequalities from a Quantum Bayesian Networks Perspective
• Reality, Causality, and Quantum Theory
• Maxwell Demon from a Quantum Bayesian Networks Perspective
• Capacity Region for Quantum Wiretap Coding
• Quantum d-separation and quantum belief propagation