2015/02/28 by Mario Berta, Marco Tomamichel · 1 citation
Computer Science · Health Professions · Mathematics · Medicine · Physics and Astronomy · #Computer science #Environmental science #Fidelity #Mathematics #Mental Health and Patient Involvement #Multiplicative function #Telecommunications #Traumatic Brain Injury Research #Traumatic Brain Injury and Neurovascular Disturbances #cs.IT #math-ph #math.IT #math.MP #quant-ph
paper · pdf · doi:10.1109/tit.2016.2527683
published as IEEE Transactions on Information Theory 62 (4), p. 1758-1763 (2016) · v2: 9 pages, published version
openalex publication_date 2016/02/10 · arxiv created 2016/03/29 · arxiv updated 2016/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Fawzi and Renner recently established a lower bound on the conditional quantum mutual information (CQMI) of tripartite quantum states ABC in terms of the fidelity of recovery (FoR), i.e., the maximal fidelity of the state ABC with a state reconstructed from its marginal BC by acting only on the C system. The FoR measures quantum correlations by the local recoverability of global states and has many properties similar to the CQMI. Here, we generalize the FoR and show that the resulting measure is multiplicative by utilizing semi-definite programming duality. This allows us to simplify an operational proof by Brandão et al. of the above-mentioned lower bound that is based on quantum state redistribution. In particular, in contrast to the previous approaches, our proof does not rely on de Finetti reductions.