Black-box Hamiltonian simulation and unitary implementation

We present general methods for simulating black-box Hamiltonians using quantum walks. These techniques have two main applications: simulating sparse Hamiltonians and implementing black-box unitary operations. In particular, we give the best known simulation of sparse Hamiltonians with constant precision. Our method has complexity linear in both the sparseness D (the maximum number of nonzero elements in a column) and the evolution time t, whereas previous methods had complexity scaling as D^4 and were superlinear in t. We also consider the task of implementing an arbitrary unitary operation given a black-box description of its matrix elements. Whereas standard methods for performing an explicitly specified N x N unitary operation use O(N^2) elementary gates, we show that a black-box unitary can be performed with bounded error using O(N^{2/3} (log log N)^{4/3}) queries to its matrix elements. In fact, except for pathological cases, it appears that most unitaries can be performed with only O(sqrt{N}) queries, which is optimal.Comment: 19 pages, 3 figures, minor correction

Hamiltonian simulation with nearly optimal dependence on all parameters

We present an algorithm for sparse Hamiltonian simulation whose complexity is optimal (up to log factors) as a function of all parameters of interest. Previous algorithms had optimal or near-optimal scaling in some parameters at the cost of poor scaling in others. Hamiltonian simulation via a quantum walk has optimal dependence on the sparsity at the expense of poor scaling in the allowed error. In contrast, an approach based on fractional-query simulation provides optimal scaling in the error at the expense of poor scaling in the sparsity. Here we combine the two approaches, achieving the best features of both. By implementing a linear combination of quantum walk steps with coefficients given by Bessel functions, our algorithm's complexity (as measured by the number of queries and 2-qubit gates) is logarithmic in the inverse error, and nearly linear in the product $\tau$ of the evolution time, the sparsity, and the magnitude of the largest entry of the Hamiltonian. Our dependence on the error is optimal, and we prove a new lower bound showing that no algorithm can have sublinear dependence on $\tau$.Comment: 21 pages, corrects minor error in Lemma 7 in FOCS versio

Jaw Rotation in Dysarthria Measured With a Single Electromagnetic Articulography Sensor

Purpose This study evaluated a novel method for characterizing jaw rotation using orientation data from a single electromagnetic articulography sensor. This method was optimized for clinical application, and a preliminary examination of clinical feasibility and value was undertaken. Method The computational adequacy of the single-sensor orientation method was evaluated through comparisons of jaw-rotation histories calculated from dual-sensor positional data for 16 typical talkers. The clinical feasibility and potential value of single-sensor jaw rotation were assessed through comparisons of 7 talkers with dysarthria and 19 typical talkers in connected speech. Results The single-sensor orientation method allowed faster and safer participant preparation, required lower data-acquisition costs, and generated less high-frequency artifact than the dual-sensor positional approach. All talkers with dysarthria, regardless of severity, demonstrated jaw-rotation histories with more numerous changes in movement direction and reduced smoothness compared with typical talkers. Conclusions Results suggest that the single-sensor orientation method for calculating jaw rotation during speech is clinically feasible. Given the preliminary nature of this study and the small participant pool, the clinical value of such measures remains an open question. Further work must address the potential confound of reduced speaking rate on movement smoothness

The Application of a Triboelectric Energy Harvester in the Packaged Product Vibration Environment

Smart packaging technology is growing every year, complemented by the development of micro-electronic devices. These two trends in innovation create unique capabilities for monitoring and tracking packaged products in transit. Developing in tandem with this momentum of invention and micro-scaling of technology is the need for innovative ways to power these devices. This paper details a novel system that harvests energy from the vibration inherent in the transportation of packaged products, stores it, and uses it to power sensors that measure the very same environment from which the energy is harvested. Also accomplished in this research is the exploration of the physical and electrical durability of the energy harvester, as well as its sensitivity to environmental relative humidity. A triboelectric energy harvester converts mechanical energy to electrical energy, which is then collected and used to charge a rechargeable energy cell. This energy cell may then be used to power small electronic devices for a myriad of applications, such as temperature and humidity sensors, accelerometers, or GPS tracking devices. This energy harvester is constructed in the form of a tier sheet to be used within a unit load, replacing a corrugate sheet with a device that achieves the same purpose, while enabling power generation. This research details a unique use of the triboelectric energy harvesting method in its application in packaged product distribution, as well as conditions, such as physical durability of the harvester and humidity of its immediate environment. The triboelectric energy harvester developed is experimentally validated for use in generating power sufficient to charge a coin cell battery capable of powering various field data recorders, the requirements of which are detailed in this manuscript

Behavioral Intention and Use Behavior of Social Networking Websites among Senior Adults

Use of social networking websites has rapidly increased over the last decade. Online social environments are quickly changing to meet the demands of younger users however the needs of senior adults are often ignored on most websites today and underrepresented in many Unified Theory of Acceptance and Use of Technology (UTAUT) studies. The study sought to close the gap in research by providing greater knowledge about the behavioral intention and use behavior of social networking websites among senior adults. Senior adults from several locations and organizations were asked to complete an online self-administered survey answering questions that tie directly into the research hypotheses for the study and the UTAUT model to identify specific factors that influence behavioral intention and use behavior of social networking websites. Implications of the study include a better understanding and discovery of the unique needs and requirements for seniors in relation to social networking websites. Results of the study provided some important findings as the original hypotheses initially thought that the gender had a moderating effect on each performance expectancy, effort expectancy, or social influence as they each relate to a senior adult\u27s behavioral intention to use social networking sites. However, conclusions were drawn from the data indicating that in all three instances, a significant correlation consistently did not exist among gender and performance expectancy, effort expectancy, or social influence respectively. In each instance, evidence for the moderating effect of gender was unable to be supported in stark contrast to what was previously thought at the onset of the study. It was further concluded that a senior adult\u27s perceived performance expectancy, effort expectancy, and social influence were all found to be predictors of the senior\u27s behavioral intention toward using a social networking website. Finally, a senior adult\u27s perception of facilitating conditions and their actual behavioral intention to use a social networking website were found to be predictors of the senior\u27s use behavior for a social networking website

Junior Recital: Andrew Berry, euphonium

This recital is presented in partial fulfillment of requirements for the degree Bachelor of Music in Performance. Mr. Berry studies euphonium with Jason Casanova.https://digitalcommons.kennesaw.edu/musicprograms/2227/thumbnail.jp