While the standard approach to quantum systems studies length preserving linear transformations of wave functions, the Markov picture focuses on trace preserving operators on the space of Hermitian (self-adjoint) matrices. The Markov approach extends the standard one and provides a refined analysis of measurements and quantum Markov chains. In particular, Bells inequality becomes structurally clear. It turns out that hidden state models are natural in the Markov context. In particular, a violation of Bells inequality is seen to be compatible with the existence of hidden states. The Markov model moreover clarifies the role of the negative probabilities in Feynmans analysis of the EPR paradox.
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