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2012

An Introduction to Quantum Bayesian Networks for Mixed States

Tucci, Robert R.

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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)

An Introduction to Quantum Bayesian Networks for Mixed States · Around

Built on

Thomas M. Cover, Joy A. Thomas, Elements of Information Theory
1991
Earlier work this paper cites.

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Mark M. Wilde, From Classical to Quantum Shannon Theory, arXiv:1106.1445
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Benjamin Schumacher, Sending quantum entanglement through noisy channels, arXiv:quant-ph/9604023
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Charles H. Bennett, David P. DiVincenzo, John A. Smolin, William K. Wootters, Mixed State Entanglement and Quantum Error Correction, arXiv:quant-ph/9604024
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R.R. Tucci, Quantum Bayesian Nets, arXiv:quant-ph/9706039
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M.S. Leifer, Robert W. Spekkens, Formulating Quantum Theory as a Causally Neutral Theory of Bayesian Inference, arXiv:1107.5849
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Bob Coecke, Kindergarten Quantum Mechanics, arXiv:quant-ph/0510032
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Then

Daphne Koller, Nir Friedman, Probabilistic Graphical Models, Principles and Techniques
2009
Later among the works it cites.

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