Open system dynamics of simple collision models

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This publication doesn't include Faculty of Arts. It includes Faculty of Informatics. Official publication website can be found on muni.cz.
Authors

ZIMAN Mário BUŽEK Vladimír

Year of publication 2011
Type Article in Proceedings
Conference Quantum Dynamics and Information (Proceedings of the 46th Karpacz Winter School of Theoretical Physics)
MU Faculty or unit

Faculty of Informatics

Citation
Web http://arxiv.org/abs/1006.2794
Field Informatics
Keywords Quantum information processing; open systems; collision models
Description A simple collision model is employed to introduce elementary concepts of open system dynamics of quantum systems. In particular, within the framework of collision models we introduce the quantum analogue of thermalization process called quantum homogenization and simulate quantum decoherence processes. These dynamics are driven by partial swaps and controlled unitary collisions, respectively. We show that collision models can be used to prepare multipartite entangled states. Partial swap dynamics generates W-type of entanglement saturating the CKW inequalities, whereas the decoherence collision models creates GHZ-type of entangled states. The considered evolution of a system in a sequence of collisions is described by a discrete semigroup E_1,...,E_n. Interpolating this discrete points within the set of quantum channels we derive for both processes the corresponding Lindblad master equations. In particular, we argue that collision models can be used as simulators of arbitrary Markovian dynamics, however, the inverse is not true.
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