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1. Strong sub-additivity

   ... inequalities among entropies which are not implied by strong subadditivity. It is of interest which states saturate the strong ...

   Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments

2. Squashed entanglement

   ... Petz, A. Winter, ``Structure of states which satisfy strong subadditivity of quantum entropy with equality" quant-ph/0304007 ...

   Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments

3. Mutual information

   ... Y respectively. Mutual information is nonnegative by subadditivity of the Shannon entropy. (i.e. I ( X ; Y ) ≥ 0; see ...

   Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments

4. Quantum relative entropy

   ... number of applications including its use in proving strong sub-additivity . One can also define a relative entropy distance to some ...

   Wiki article - Anonymous (not verified) - 12/11/2017 - 00:49 - 0 comments

5. Trace distance

   ... δ ( ρ ,  θ ) +  δ ( θ ,  σ ) (subadditivity w.r.t. tensor products) δ ( ρ  ⊗  ρ ʹ,  σ ... robust under addition of subsystems as a consequence of the subadditivity with respect to tensor products. Useful identities In ...

   Wiki article - Anonymous (not verified) - 11/02/2016 - 22:51 - 0 comments

6. Enhancement of channel capacities with entanglement

   ... ) σ  +  H ( B 2 ) σ holds by the subadditivity of the von Neumann entropy. Repeated applications of the \emph{strong} subadditivity inequality, moreover, lead to the inequality H(B_1 B_2 | E_1 ...

   Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments