Erratum: Suppression of localization in kronig-penney models with correlated disorder (Vol. 49, PG 147, 1994)

We consider the electron dynamics and transport properties of one-dimensional continuous models with random, short-range correlated impurities. We develop a generalized Poincare map formalism to cast the Schrodinger equation for any potential into a discrete set of equations, illustrating its application by means of a specific example. We then concentrate on the case of a Kronig-Penney model with dimer impurities. The previous technique allows us to show that this model presents infinitely many resonances (zeroes of the reflection coefficient at a single dimer) that give rise to a band of extended states, in contradiction with the general viewpoint that all one-dimensional models with random potentials support only localized states. We report on exact transfer-matrix numerical calculations of the transmission coefFicient, density of states, and localization length for various strengths of disorder. The most important conclusion so obtained is that this kind of system has a very large number of extended states. Multifractal analysis of very long systems clearly demonstrates the extended character of such states in the thermodynamic limit. In closing, we brieBy discuss the relevance of these results in several physical contexts.

Error tolerance of topological codes with independent bit-flip and measurement errors

Topological quantum error correction codes are currently among the most promising candidates for efficiently dealing with the decoherence effects inherently present in quantum devices. Numerically, their theoretical error threshold can be calculated by mapping the underlying quantum problem to a related classical statistical-mechanical spin system with quenched disorder. Here, we present results for the general fault-tolerant regime, where we consider both qubit and measurement errors. However, unlike in previous studies, here we vary the strength of the different error sources independently. Our results highlight peculiar differences between toric and color codes. This study complements previous results published in New J. Phys. 13, 083006 (2011).

Do 5-Year-Old Children Perform Dual-Task Coordination Better Than AD Patients?

A cross-sectional study was carried out to examine the pattern of changes in the capacity to coordinate attention between two simultaneously performed tasks in a group of 570 volunteers, from 5 to 17 years old. Method: The results revealed that the ability to coordinate attention increases with age, reaching adult values by age 15 years. Also, these results were compared with the performance in the same dual task of healthy elderly and Alzheimer disease (AD) patients found in a previous study. Results: The analysis indicated that AD patients showed a lower dual-tasking capacity than 5-year-old children, whereas the elderly presented a significantly higher ability than 5-year-old children and no significant differences with respect to young adults. Conclusion: These findings may suggest the presence of a working memory system’s mechanism that enables the division of attention, which is strengthened by the maturation of prefrontal cortex, and impaired in AD. (J. of Att. Dis. 2016; 20(2) 87-95)