Multi-partite entanglement in Davies environment

Abstract

We analyse dynamics of genuinely multi-partite entanglement of N-qubit states initially prepared in the form of so called X-matrices with one qubit coupled to a Davies-type environment. We develop an analytic formula for genuinely multi-partite concurrence of the investigated states as a function of time and analyze its time evolution with an emphasis on the qualitative di erence between systems a ected by a pure decoherence only and those which do dissipate energy at nite temperature.