Transition Effect Matrices and Quantum Markov Chains |
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Authors: | Stan Gudder |
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Institution: | (1) Department of Mathematics, University of Denver, Denver, CO 80208, USA |
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Abstract: | A transition effect matrix (TEM) is a quantum generalization of a classical stochastic matrix. By employing a TEM we obtain
a quantum generalization of a classical Markov chain. We first discuss state and operator dynamics for a quantum Markov chain.
We then consider various types of TEMs and vector states. In particular, we study invariant, equilibrium and singular vector
states and investigate projective, bistochastic, invertible and unitary TEMs. |
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Keywords: | Quantum Markov chains Quantum effects Quantum measurements |
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