It is known that almost all 2-qubit gates are universal for quantum computing (Lloyd 1995; Deutsch, Barenco, Eckert 1995). However, an explicit characterization of non-universal 2-qubit gates is not known. We consider a closely related problem of characterizing the set of non-universal 2-qubit Hamiltonians. We call a 2-qubit Hamiltonian n-universal if, when applied on different pairs of qubits, it can be used to approximate any unitary operation on n qubits. It follows directly from the results of Lloyd and Deutsch, Barenco, Eckert, that almost any 2-qubit Hamiltonian is 2-universal. Our main result is a complete characterization of 2-non-universal 2-qubit Hamiltonians. There are three cases when a 2-qubit Hamiltonian H is not universal: (1) H shares an eigenvector with the gate that swaps two qubits; (2) H acts on the two qubits independently (in any of a certain family of bases); (3) H has zero trace. The last condition rules out the Hamiltonians that generate SU(4)---it can be omitted if the global phase is not important. A Hamiltonian that is not 2-universal can still be 3-universal. We give a (possibly incomplete) list of 2-qubit Hamiltonians that are not 3-universal. If this list happens to be complete, it actually gives a classification of n-universal 2-qubit Hamiltonians for all n >= 3.

It is known that almost all 2-qubit gates are universal for quantum computing (Lloyd 1995; Deutsch, Barenco, Eckert 1995). However, an explicit characterization of non-universal 2-qubit gates is not known. We consider a closely related problem of characterizing the set of non-universal 2-qubit Hamiltonians. We call a 2-qubit Hamiltonian n-universal if, when applied on different pairs of qubits, it can be used to approximate any unitary operation on n qubits. It follows directly from the results of Lloyd and Deutsch, Barenco, Eckert, that almost any 2-qubit Hamiltonian is 2-universal. Our main result is a complete characterization of 2-non-universal 2-qubit Hamiltonians. There are three cases when a 2-qubit Hamiltonian H is not universal: (1) H shares an eigenvector with the gate that swaps two qubits; (2) H acts on the two qubits independently (in any of a certain family of bases); (3) H has zero trace. The last condition rules out the Hamiltonians that generate SU(4)---it can be omitted if the global phase is not important. A Hamiltonian that is not 2-universal can still be 3-universal. We give a (possibly incomplete) list of 2-qubit Hamiltonians that are not 3-universal. If this list happens to be complete, it actually gives a classification of n-universal 2-qubit Hamiltonians for all n >= 3.

ESR quantum computing presents faster means to perform gates on nuclear spins than the traditional NMR methods. This means ESR is a test-bed that can potentially be useful in ways that are not possible with NMR. The first step is to demonstrate universal control in the ESR system. This work focuses on spin systems with one electron spin and two nuclear spins. We try to demonstrate control over the nuclear spins using the electron as an actuator. In order to perform the experiments, a customized ESR spectrometer was built in the lab. The main advantage of the home-built system is the ability to send arbitrary pulses to the spins. This ability is the key to perform high fidelity controls on the spin system. A customized low temperature probe was designed and built to have three features necessary for the experiments. First, it is possible to orient the sample, thus to change the spin Hamiltonian of the system, in situ. Second, the combined system is able to perform ESR experiments at liquid nitrogen and liquid helium temperatures and rotate the sample while it is cold. Last, the pulse bandwidth of the microwave resonator, which directly affects the fidelity of the gates, is held constant with respect to the sample temperature. Simulations of the experiments have been carried out and the results are promising. Preliminary experiments have been performed, the final set of experiments, demonstrating full quantum control of a three-spin system, are underway at present.

Purpose: This is a pilot study to investigate gaze strategies for coping with glare when performing a simple visual task under intense contra light viewing conditions. Method: Twenty-four normally sighted participants were recruited for this study. They consisted of a young subgroup (n=12), aged 21-29 (mean = 25.3 ± 2.5), and an older subgroup (n=12), aged 51-71 (mean = 57.3 ± 6.1). Visual acuity (VA) and Brightness Acuity testing (BAT) were used to assess central vision. Participants were required to locate and approach (from 15m) a small platform that was contra lit by a powerful light source. Upon arrival at the platform, participants were required to insert a small ball into a similarly sized receptacle. An ASL Mobile Eye (Bedford, MA) eye tracker was used to monitor gaze position throughout until the task was completed. Scene and pupil videos were recorded for each participant and analyzed frame by frame to locate the participant’s eye movements. Results: Two participants (one from each subgroup) adopted aversion gaze strategies wherein they avoided looking at the contra lit task for more than 50% of the task completion time. For the remainder of the experimental trial, these two participants were either looking toward the glare source or blinking. The other twenty-two participants opted to endure the contra light condition by gazing directly into the glare for the majority of the task completion time. An individual t-test between the younger iv subgroup’s BA scores vs. the older subgroup’s BA scores was statistically significant (p<0.05). Significantly poorer BAT scores were found in the older subgroup, however, individual participant’s BAT scores did not necessarily predict the ability to cope with a contra lit glare source. Although, statistically significant differences were not found between the two subgroups when examining their VA and length of time to complete the course, a trend was found, as the older subgroup consistently had poorer VA scores and took longer to complete the course. Further research must be completed with a larger sample size to fully understand the glare aversion strategies one must elicit when dealing with a contra lit glare source within the built environment, and to confirm the three glare strategies proposed by this pilot study.

A product pair is two products with similar functionality that satisfy the same high level need but are different by design. The goal of this research is to apply association rule-based learning to product pairs and develop universal design rules to be used during the conceptual design phase. The Apriori algorithm produced 1,023 association rules with input parameters of 70% minimum confidence and 0.5% minimum support levels. These rules were down-selected based on the prescribed rule format of: (Function, Typical User Activity) ? (Change, Universal User Activity). In other words, for a given product function and user activity, the rules suggest a design change and new user activity for a more universal product. This research presents 29 universal design rules to be used during the conceptual design stage. These universal design rules suggest a parametric, morphological, functional, or no design change is needed for a given user activity and product function. No design change rules confirm our intuition and also prevent inefficient design efforts. A parametric design change is suggested for actionfunction elements involving find hand use to manipulate a product. Morphological design changes are proposed to solve actionfunction elements in a slightly more complex manner without adding or subtracting overall functionality. For example, converting human energy to mechanical energy with the upper body opposed to the lower body or actuating fluid flow with motion sensors instead of manual knobs. The majority of the recommended functional changes involve automating a product to make it more universal which might not be apparently obvious to designers during conceptual design.

The purpose of this thesis is to investigate the null subject phenomenon in the acquisition of English by Taiwan EFL learners to see whether the participants are influenced by their L1 knowledge or UG and whether they can reset their L1 value of null subject parameter. Two experimental tasks in questionnaire, grammaticality judgment task (GJ) and paragraph translation task (PT), and one oral task, storytelling task (ST), were adopted in this study. As for the participants, in the questionnaire part the GJ and PT tasks were given to 132 EFL learners, which were divided into the lower proficiency group (n=56) and the higher proficiency group (n=76), and 15 native speakers of English as a control group. Besides, we reanalyze the data of the ST task in Lin & Wu (2005), which consisted of 20 high English proficiency participants and 20 low English proficiency participants. Overall, the main findings are summarized as follows: 1. Chinese topic constructions seem to influence profoundly on the L2A of English by EFL learners. This may imply that L2 learners acquire the L2 through L1-based knowledge. 2. The asymmetry of null subjects and null objects was found in our data across the three tasks, which suggests EFL learners treated both features differently and have difficulty in unlearning null objects. We support Kong¡¦s (2005) claim that Chinese learners are influenced by L1 topic structure but they adjust this rule to: every sentence must have an overt topic in the sentence-initial position. 3. The different judgments between matrix and embedded clauses with null subjects and null expletives may infer EFL learners do not intrinsically reset the parameter of null subjects. 4. According to our results in ST task, there seems to be several patterns which make null subjects and null objects easier to occur, such as structures with coordinate relationship or clear reference relationship. These sentence patterns prove that the EFL learners are still easier to be influenced by the discourse-oriented feature in Chinese. According to the result, we may infer that the position of Partial Access to UG probably the best answer to our research questions since it is assumed that through Partial Access to UG, L2 learners will not be able to acquire the L2 values of parameters when these differ from the L1; that is, UG is accessible but only via the setting of the L1.

Poly(ethylene succinate) (PES), poly(trimethylene succinate) (PTS) and their copolyesters with various compositions were synthesized through a direct polycondensation reaction with titanium tetraisopropoxide used as the catalyst. Results obtained from intrinsic viscosity and gel permeation chromatography (GPC) studies have significantly contributed to the preparation of polyesters with high molecular weight. Compositions and sequence distributions of the synthesized copolyesters were determined by analyzing the spectra of 1H NMR and 13C NMR. According to those results, the sequence distributions of ethylene succinate (ES) units and trimethylene succinate (TS) units were found to be random. Thermal properties were then characterized using differential scanning calorimeter (DSC) and thermogravimetric analyzer (TGA). All copolymers exhibited a single glass transition temperature (Tg). These polyesters did not significantly differ in thermal stability. Next, thermal stability was estimated using polarized light microscopy (PLM). Isothermal growth rates for polyesters were observed after pre-melting at various temperatures. The thermal degradation temperature (Td) was estimated, at which the growth rate for polyesters increased abruptly. The Td value of PES and PETSA 95/05 was found to be 213 and 200 ¢XC, respectively, which was 35−45 ¢XC lower than that determined by TGA. Wide-angle X-ray diffractograms (WAXDs) were obtained for polyesters that were crystallized isothermally at a temperature 5−10 ¢XC below their melting temperatures. Only the crystal form of PES was appeared in the diffractograms of PES-rich copolyesters. The TS units in polyesters may be excluded and located in the amorphous part of polyesters. WAXD results indicate that incorporating TS units into PES could significantly inhibit the crystallization behavior of the latter. Additionally, dynamic mechanical properties of moldable polyesters were investigated using a Rheometer operated at 1 Hz. Below Tg, incorporating TS units into PES led to a decline in the storage modulus, while above Tg, the effect of crystallinity on the storage modulus could be found. The sphreulite growth rates for crystallizable polyesters were measured by PLM. The growth rate of polyesters decreased with an increasing moiety of TS units. The regime II¡÷III transition of PES was estimated to occur at ca. 71 ¢XC, which is extremely close to values in the literature. The regime transition of PETSA95/05 and PETSA 80/20 was found to be 65.0 ¢XC and 51.4 ¢XC, respectively. A dynamic crystallization experiment was performed by PLM and compared with time consuming isothermal experiments. Above data closely corresponded to those data points determined in the isothermal experiments. Results of the regime analysis for the continuous data of polyesters closely resembled those of isothermal experiments. The maximum growth rate was formulated in Arrhenius and WLF expressions for the molecular transport term. A master curve of the crystal growth rate for PES was constructed based on the continuous data of PES. Plotting the reduced growth rates after normalization against the reduced temperatures revealed a universal master curve for PES and two PES-rich copolyesters. Finally, the lateral surface free energy, fold surface free energy and work for chain folding of polyesters were evaluated based on kinetic analysis. According to those results, the works for chain folding decreased with an increasing moiety of TS units.

Aida Slavic aus London berichtete über den derzeitigen Stand bei der Universalen Dezimalklassifikation UDK. Wobei sie einerseits auf die erreichte Qualität und Moder­nität des alten Systems eingeht und andererseits die erreichte Organisationsstruktur im Rahmen des UDC-Konsortiums schildert. Insbesondere zu beklagen ist nach wie vor, dass im deutschsprachigen Raum seit dem Ausscheiden der beiden Normungs­institute DIN und ÖNORM aus der UDK-Gestaltung sich keine Nachfolgestruktur zur Weiterführung der UDK gefunden hat.

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Αποδεικνύουμε την ύπαρξη καθολικών σειρών taylor στην περίπτωση συγκεκριμένου μη απλά συνεκτικού τόπου, καθώς και την ύπαρξη ενός πυκνού διανυσματικού υποχώρου. / We prove the existence of universal taylor series in the case of a specific non simply connected domain. We also prove the existence of a dense vector subspace.