Decoherence Patterns of Topological Qubits from Majorana Modes

We investigate the decoherence patterns of topological qubits in contact with the environment by a novel way of deriving the open system dynamics other than the Feynman-Vernon. Each topological qubit is made of two Majorana modes of a 1D Kitaev's chain. These two Majorana modes interact with the environment in an incoherent way which yields peculiar decoherence patterns of the topological qubit. More specifically, we consider the open system dynamics of the topological qubits which are weakly coupled to the fermionic/bosonic Ohmic-like environments. We find atypical patterns of quantum decoherence. In contrast to the cases of non-topological qubits for which they always decohere completely in all Ohmic-like environments, the topological qubits decohere completely in the Ohmic and sub-Ohmic environments but not in the super-Ohmic ones. Moreover, we find that the fermion parities of the topological qubits though cannot prevent the qubit states from decoherence in the sub-Ohmic environments, can prevent from thermalization turning into Gibbs state. We also study the cases in which each Majorana mode can couple to different Ohmic-like environments and the time dependence of concurrence for two topological qubits.Comment: 20 pages, 10 figures; v2 ref updated to match NJP versio

Energy-Efficient Non-Orthogonal Transmission under Reliability and Finite Blocklength Constraints

This paper investigates an energy-efficient non-orthogonal transmission design problem for two downlink receivers that have strict reliability and finite blocklength (latency) constraints. The Shannon capacity formula widely used in traditional designs needs the assumption of infinite blocklength and thus is no longer appropriate. We adopt the newly finite blocklength coding capacity formula for explicitly specifying the trade-off between reliability and code blocklength. However, conventional successive interference cancellation (SIC) may become infeasible due to heterogeneous blocklengths. We thus consider several scenarios with different channel conditions and with/without SIC. By carefully examining the problem structure, we present in closed-form the optimal power and code blocklength for energy-efficient transmissions. Simulation results provide interesting insights into conditions for which non-orthogonal transmission is more energy efficient than the orthogonal transmission such as TDMA.Comment: accepted by IEEE GlobeCom workshop on URLLC, 201

A Study of the Interface Between a Turbulent Boundary Layer and the Irrotational Free Stream

A mathematical model has been developed to simulate the events which occur at the interface between a turbulent boundary layer and the irrotational free stream. By assuming the streamwise velocity component of this interface to be constant and that the interface is uncontorted initially, the solution to the equations of motion is used to derive the position functions of a point element on the interface. This analysis is restricted to a fully developed incompressible turbulent boundary layer with zero pressure gradient. Vertical velocity disturbances which are periodic in the spanwise direction and restricted to small streamwise domains are assumed. The model predicts pairs of upward bulging and downward jetting events. The size of these events shows that this model may represent the typical eddies which have been described by other investigators. The wall-ward jetting indicates the occasional engulfment of inviscid flow into the turbulent boundary layer. It also predicts that the superlayer can account for only about 10 percent of the required kinetic energy supply. The bulging event shows that the growth of the turbulent boundary layer thickness is not created entirely by the small scale motions

Acoustic cues to tonal contrasts in Mandarin: Implications for cochlear implants

The present study systematically manipulated three acoustic cues-fundamental frequency (f0), amplitude envelope, and duration-to investigate their contributions to tonal contrasts in Mandarin. Simplified stimuli with all possible combinations of these three cues were presented for identification to eight normal-hearing listeners, all native speakers of Mandarin from Taiwan. The f0 information was conveyed either by an f0-controlled sawtooth carrier or a modulated noise so as to compare the performance achievable by a clear indication of voice f0 and what is possible with purely temporal coding of f0. Tone recognition performance with explicit f0 was much better than that with any combination of other acoustic cues (consistently greater than 90% correct compared to 33%-65%; chance is 25%). In the absence of explicit f0, the temporal coding of f0 and amplitude envelope both contributed somewhat to tone recognition, while duration had only a marginal effect. Performance based on these secondary cues varied greatly across listeners. These results explain the relatively poor perception of tone in cochlear implant users, given that cochlear implants currently provide only weak cues to f0, so that users must rely upon the purely temporal (and secondary) features for the perception of tone. (c) 2008 Acoustical Society of America

以生物多樣性指標評估集水區崩塌地治理優選順序

The abundance of endemic species in Taiwan is a great natural treasure accomplished by a diverse altitude ranges due to violent tectonic activities and humid tropical weather conditions with ocean surrounded. With the characteristics of few flatlands, the slope lands are inevitable and have been developed for economic and social requirement gradually, which has caused habitation shrinking of animal and plant. Furthermore, Taiwan also suffers disasters such as striking of torrential rains and typhoons during summer season annually, and is vulnerable to landslide because of fragile geology which threats to the living things. Thus, to enhance the efficiency of vegetation recovery in landslide area can benefit the habitats of species. Typhoon Morakot induced landslides and vegetation recovery rate in Kao-Ping watershed can be quickly extracted and/or derived from the satellite images in this study. The biodiversity index established in the database of the watershed can then be applied to assess the treatment priority of landslides. The result shows that the highest landslide rate in Chi-Shan and Lao-Nong watersheds are Xiao-Lin and Ching-Shui Xi sub-watersheds respectively. For vegetation recovery rate, the downstream area is higher than upstream area. For treatment priority, the top 10 of sub-watersheds almost distribute in Lao-Nong watershed. It hopes that the result could provide the related authorities as the references of environmental restoration.台灣雖位處北回歸線，但因造山運動拱起4,000 公尺海拔落差，使台灣物種跨越熱帶、溫帶及寒帶，且四面環海及高溫多雨之島嶼氣候，孕育出許多台灣特有種生物，然台灣因高山多、平地少，在高人口密度下，居民為了生活不得不開發山坡地之原始森林，此舉壓縮了動、植物之生存空間，此外，台灣山高且地質破碎，夏季之暴雨或颱風易造成大規模之崩塌，除對當地居民造成威脅外，亦影響其他物種之生存環境，為此，如何加速崩塌地之植生復育，將有助於恢復各物種之棲地。本研究以莫拉克風災為事件，利用該事件前後期之衛星影像萃取集水區崩塌區位，另計算災後集水區植生復育良窳之熱點區位，最後以生物多樣性指數配合崩塌率及植生復育率評估集水區崩塌地治理之優選順序。研究結果顯示，旗山溪及荖濃溪集水區中崩塌率最高之子集水區分別為小林及清水溪；植生復育率則為下游高於上游區位；整體崩塌地治理優先順序中，得分最高之前10 處主要分布於荖濃溪集水區。期本研究之結果可作為相關生態保育單位於環境復育之參考

Anatomical features, fiber morphological, physical and mechanical properties of three years old new hybrid Paulownia: green Paulownia

Objective: Green Paulownia (hybridization of Paulownia elongata × Paulownia fotunei and tropical Paulownia spp.) is new hybrid claimed as one of the fast-growing woody plants with the high potential as a fiber material or lignocellulosic material. The material for this study originates from the area of Nanning in China. Methodology: Cell morphology and anatomical appearances were observed and evaluated under the image analysis system (Leica DMLS). Physical and mechanical properties were evaluated based on the American Society for Testing and Materials (ASTM) standards. Results: From the results, average value of the mean fiber length was 0.905 mm, mean fiber length 34.59 μm, lumen thickness 26.80 μm and cell wall thickness 3.89 μm. Fiber dimensions of green Paulownia are in the normal range for hardwoods. The physical and mechanical properties of 3 years old green Paulownia have similar properties than those 7-11 years old Paulownia published in China. Conclusion: The 3 years old green Paulownia timbers can be used as materials for furniture

The Application of Borehole Hydrogeological Investigation for Assessing Landslide Susceptibility

On the basis of 49 borehole studies at the mid- and upper-stream of the Dajia and Jhuoshuei river basins, landslide occurrence was found to not only be related to subsurface geological composition and hydrogeological characteristics, but also to groundwater level dynamics, which have seldom been addressed in previous works. It is suggested that the interplay between hydrogeologic and landslide factors be given further consideration in future investigations. This would be a crucial step towards effective disaster prevention for mountainous regions in Taiwan.本研究主要係嘗試透過孔內水文地質調查結果，評估大甲溪與濁水溪流域地表下岩層的地質材料特性、水力特性、地下水與集水區山崩潛勢之關聯性。過去研究較少針對崩塌地進行現地水文地質調查與試驗，本研究根據49處試驗場址成果顯示，水文地質特性與山崩的潛勢、滑動深度，以及地下水位有一定程度之關聯性。本研究建議進行調查區域的水文地質特性，以及各促崩因子所造成的山崩的易損性，係各類型山崩災害分析與潛勢評估之重要的研究各題，亦可提供相關台灣災害防治之參考