Kragujevac Journal of Science
Markovian master equation for three interacting qubits in weak coupling limit: Pedagogical example
M. Arsenijević
Abstract
While models of one qubit and two qubits open quantum systems are widely used in contemporary physical literature, especially one dealing with the problems of quantum information and computation, model of three qubits is rarely exploited. One reason, regarding dynamics of open quantum systems, lays in the fact that adding one qubit to state space complicates considerably computational tasks. By computational tasks here is meant obtaining analytical details of dynamics, which are preferable for fundamental physical considerations. In this paper, ab initio derivation of Markovian master equation, in regime of the weak coupling limit, for three interacting qubits is presented in pedagogical manner. In this way, it will become clearer what challenges in dealing with seemingly innocuous three-qubits model are. Master equation in hand can serve for further physical inquiries, not limited to the field of quantum information and quantum computation.