Chain rules for quantum Renyi entropies
| Autoři | |
|---|---|
| Rok publikování | 2015 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Journal of Mathematical Physics |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | http://dx.doi.org/10.1063/1.4907981 |
| Obor | Teoretická fyzika |
| Klíčová slova | quantum information; renyi entropy |
| Popis | We present chain rules for a new definition of the quantum Renyi conditional entropy sometimes called the "sandwiched" Renyi conditional entropy. More precisely, we prove analogues of the equation H(AB|C) = H(A|BC) + H(B|C), which holds as an identity for the von Neumann conditional entropy. In the case of the Rnyi entropy, this relation no longer holds as an equality but survives as an inequality of the form H-alpha(AB|C) > H-beta(A|BC) + H-gamma(B|C), where the parameters alpha, beta, gamma obey the relation alpha/alpha-1 = beta/beta-1 + gamma/gamma-1 and (alpha - 1)(beta - 1)(gamma - 1) > 1; if (alpha - 1)(beta - 1)(gamma - 1) < 1, the direction of the inequality is reversed. |
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