1. Bob Coecke & Robert W. Spekkens (2012). Picturing Classical and Quantum Bayesian Inference. Synthese 186 (3):651 - 696.
    We introduce a graphical framework for Bayesian inference that is sufficiently general to accommodate not just the standard case but also recent proposals for a theory of quantum Bayesian inference wherein one considers density operators rather than probability distributions as representative of degrees of belief. The diagrammatic framework is stated in the graphical language of symmetric monoidal categories and of compact structures and Frobenius structures therein, in which Bayesian inversion boils down to transposition with respect to an appropriate compact structure. (...)
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  2. Nicholas Harrigan & Robert W. Spekkens (2010). Einstein, Incompleteness, and the Epistemic View of Quantum States. Foundations of Physics 40 (2):125-157.
    Does the quantum state represent reality or our knowledge of reality? In making this distinction precise, we are led to a novel classification of hidden variable models of quantum theory. We show that representatives of each class can be found among existing constructions for two-dimensional Hilbert spaces. Our approach also provides a fruitful new perspective on arguments for the nonlocality and incompleteness of quantum theory. Specifically, we show that for models wherein the quantum state has the status of something real, (...)
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  3. Robert W. Spekkens (2007). Evidence for the Epistemic View of Quantum States: A Toy Theory. Physical Review A 75:032110.
     
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