Algebraic Quantum Error-Correction Codes

Based on the group structure of a unitary Lie algebra, a scheme is provided to systematically and exhaustively generate quantum error correction codes, including the additive and nonadditive codes. The syndromes in the process of error-correction distinguished by different orthogonal vector subspaces, the coset subspaces. Moreover, the generated codes can be classified into four types with respect to the spinors in the unitary Lie algebra and a chosen initial quantum state

Distributional chaos for weighted translation operators on groups

In this paper, we initiate the study of distributional chaos for weighted translations on locally compact groups, and give a sufficient condition for such operators to be distributionally chaotic. We also investigate the set of distributionally irregular vectors of weighted translations from the views of modulus, cone, equivalent class and atom. In particular, we show that the set of distributionally irregular vectors is residual if the group is the integer. Besides, the equivalent class of distributionally irregular vectors is path connected if the field is complex

Economic Growth and Government Size in OECD Countries: New Evidence from the Quantile Regression Approach

The purpose of this paper is to employ the quantile regression methodology to investigate the relationship between government size and economic growth using a panel data set for 24 OECD countries. We find that the magnitude of the effect of government size on economic growth varies through the quantiles. When the economic growth is low, increasing the size of the government may have a positive effect and stimulate economic growth. However, as the economic growth rate increases, such an effect declines and has a negative effect on economic growth.Economic growth; Government size; Quantile regression