content_image/335056.jpg content_image/335053.jpg content_image/335050.jpg content_image/335046.jpg
<img src='content_image/335056.jpg'>

## III. OBTAINING DIFFERENT ENTANGLEMENT DEGREES BY TUNING TRANSITION OPERATORS 

As we discussed before, the entanglement degree of final state can be tuned by changing the parameters of the transition operator. As an example, let us act the transition operator of P = ¯ V + + ¯ V − on the initial state in Eq.(1), the corresponding final state is 

<img src='content_image/335053.jpg'>

The normalizing condition leads to µ = λ 2 and ( ν + λ $_{2}$)$^{2}$[1 − $_{(}$√$_{3}$ 3 α$_{1}$ − √$_{2}$ 2 α$_{2}$ − √$_{6}$ 6 α$_{3}$ ) $^{2}$] = 1. As discussed in the preceding section, the entanglement degree of the final state | φ $^{′}$〉 can be calculated by the use of Eq.(2) as 

<img src='content_image/335050.jpg'>

As we can see, by changing the value of ν and λ , the entanglement degree C$_{φ}$ ′ can be tuned. This behavior is shown in Fig. 2 for the case of α$_{1}$ = α$_{2}$ = 1 $_{2}$. 

Another more simpler case is P = ¯ I 8 for which the final state reads 

<img src='content_image/335046.jpg'>

