Papers › Description of quantum dynamics of open systems based on collision-like models

Description of quantum dynamics of open systems based on collision-like models

21 Oct 2004arXiv:quant-ph/0410161links table onlyarchive 2025-07-28

Mario Ziman, Peter Stelmachovic, Vladimir Buzek

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Master equations in the Lindblad form describe evolution of open quantum systems that is completely positive and simultaneously has a semigroup property. We analyze a possibility to derive this type of master equations from an intrinsically discrete dynamics that is modelled as a sequence of collisions between a given quantum system (a qubit) with particles that form the environment. In order to illustrate our approach we analyze in detail how a process of an exponential decay and a process of decoherence can be derived from a collision-like model in which particular collisions are described by SWAP and controlled-NOT interactions, respectively.

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