Entanglement in local systems

In this study, we first discuss entanglement measures and we introduce a way to construct generic entangled states of an n-level quantum system. Then we discuss entanglement as a local object. Particularly we use a spin qutrit, and investigate whether an entangled spin qutrit obeys entanglement criteria or not. While doing this, we also discuss, which criteria of entanglement are essential and which of them are not. We show the relation between quantum fluctuations and entanglement. Lastly, we discuss Bell type inequalities and we show violation of a Bell type condition by a single particle entangled state.