Figure 5
From: Dynamics of entangled networks of the quantum Internet
Impacts of noise on the equilibrium states of a weakly entangled structure \({{\mathscr {S}}}'_{N}\) (a), (b) and strongly entangled (c)–(f) quantum network \({{\mathscr {S}}}_{N}^{*}\) at a given \(f\left( B_{F} \left( {{\mathscr {F}}}_{N} \right) \right)\), \(\left| V\right| =100\). The stability function \(\Psi _{{{\mathscr {F}}}_{N} } \left( \phi \left( F\left( {{\mathscr {F}}}_{N} \right) \right) \right)\) (left) in function of \(\phi \left( F\left( {{\mathscr {F}}}_{N} \right) \right)\) and \(\Delta \left( {{\mathscr {F}}}_{N} \right)\), and \(\Psi _{{{\mathscr {F}}}_{N} } \left( \phi \left( F\left( {{\mathscr {F}}}_{N} \right) \right) \right)\) in function of \(\Delta \left( {{\mathscr {F}}}_{N} \right)\), \(\Delta \left( {{\mathscr {F}}}_{N} \right) \in \left[ 0,1\right]\), at a given \(f\left( B_{F} \left( {{\mathscr {F}}}_{N} \right) \right)\) (right) identify the: (a) Weakly entangled quantum network, \(f\left( B_{F} \left( {{\mathscr {F}}}_{N} \right) \right) =0\). (b) Weakly entangled quantum network, \(f\left( B_{F} \left( {{\mathscr {F}}}_{N} \right) \right) =0.25\). (c) Strongly entangled quantum network, \(f\left( B_{F} \left( {{\mathscr {F}}}_{N} \right) \right) =1.25\). (d) Strongly entangled quantum network, \(f\left( B_{F} \left( {{\mathscr {F}}}_{N} \right) \right) =1.5\). (e) Strongly entangled quantum network, \(f\left( B_{F} \left( {{\mathscr {F}}}_{N} \right) \right) =2\). (f) Strongly entangled quantum network, \(f\left( B_{F} \left( {{\mathscr {F}}}_{N} \right) \right) =4\).
