| Abstract: | Abstract: In this talk we explore dissipative processes satisfying the
general Liouville equation, especially with regard to the dissipation of
entanglement. We start with a simple introduction to the definition of
quantum states and their evolution equations. We show that starting from
this standard theory of dissipative processes, certain constraints
result on the degradation of entanglement. Further, we show that in the
absence of external control, there always exists a state stable under
dissipation which is, however, separable. Specialising to physical
processes satisfying complete positivity (i.e. the Lindblad equations)
we show that for special choices of dissipation parameters, stable
entangled states exist. |
