We study multipartite super dense coding in the presence of a covariant noisy channel. We investigate the case of many senders and one receiver, considering both unitary and non-unitary encoding. We study the scenarios where the senders apply local encoding or global encoding. We show that, up to some pre-processing on the original state, the senders cannot do better encoding than local, unitary encoding. We then introduce general Pauli channels as a significant example of covariant maps. Considering Pauli channels, we provide examples for which the super dense coding capacity is explicitly determined.
We present criteria for comparing measurements on a given system from the point of view of the information they provide. These criteria lead to a concept ofinformational completeness of a set of observables, which generalizes the conventional concept of completeness. The entropy of a state with respect to an arbitrary sample space of potential measurement outcomes is defined, and then studied in the context of configuration space and fuzzy stochastic phase space.
Australia's remarkable economic performance during the 1990s has not resulted in a significant convergence of real per capita income, output, and employment levels across the country's states and territories. This paper explores the role of certain economic rigidities that may have contributed to the lack of convergence, including rigidities in labor markets and in the structure of federal government transfers to households and subnational governments. The analysis suggests that the wage awards system has restricted the adjustment of real wages to productivity differentials, thus contributing to higher unemployment rates in some states. Federal government transfers to households also appear to have adversely affected work incentives in high unemployment states by limiting participation in the labor force.