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Transition Effect Matrices and Quantum Markov Chains

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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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Authors and Affiliations

  1. Department of Mathematics, University of Denver, Denver, CO, 80208, USA

    Stan Gudder

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  1. Stan Gudder
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Correspondence to Stan Gudder.

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Gudder, S. Transition Effect Matrices and Quantum Markov Chains. Found Phys 39, 573–592 (2009). https://doi.org/10.1007/s10701-008-9269-2

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  • DOI: https://doi.org/10.1007/s10701-008-9269-2

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