Fault-tolerant magic state preparation with flag qubits

Magic state distillation is one of the leading candidates for implementing universal fault-tolerant logical gates. However, the distillation circuits themselves are not fault-tolerant, so there is additional cost to first implement encoded Clifford gates with negligible error. In this paper we present a scheme to fault-tolerantly and directly prepare magic states using flag qubits. One of these schemes uses a single extra ancilla, even with noisy Clifford gates. We compare the physical qubit and gate cost of this scheme to the magic state distillation protocol of Meier, Eastin, and Knill, which is efficient and uses a small stabilizer circuit. In some regimes, we show that the overhead can be improved by several orders of magnitude.Comment: 26 pages, 17 figures, 5 tables. Comments welcome! v2 (published version): quantumarticle documentclass and expanded discussions on the fault-tolerant scheme

Securing the Commonwealth: Changing Emergency Preparedness in Kentucky: A Study of the Efforts of the Department of Homeland Security in Changing Emergency Preparedness at the County Level

Statement of the Problem During the first 24 to 72 hours following a terrorist attack, local officials and first responders will be responsible for dealing with the initial aftermath. While most officials—federal, state, and local—have all acknowledged that domestic preparedness must occur at the bottom of the governmental structure, it is unclear if any changes to emergency response planning have actually occurred at the local governmental level. Research Questions The intention of this capstone is to answer the following questions: Has change in emergency response planning occurred at the county level? Are there regional differences present in terms of organizational change and emergency response planning? Methodology A self-designed survey was sent to all county judge executives in Kentucky except for Fayette and Jefferson counties where the directors of emergency management received the survey (N=120). The response rate for the survey was 63 percent, which is approximately 76 counties. The data collected from the surveys used SPSS statistical software to calculate frequency distributions, correlations, Cronbach’s Alpha test, and a logistic regression analysis. Findings This study demonstrates that change in the dependent variable (drastic change to emergency response plans) can be explained 73.8 percent of the time by the independent variables (‘Mitigation Practices,’ ‘level of resistance to change,’ ‘person in charge of emergency response,’ long-term vision,’ ‘political barriers,’ and ‘regional location’). 44 county judge executives stated that they had drastically changed their county’s emergency response plans since the events of 9/11. This study also found that counties in the Pennyrile region of the stat are more likely to have drastically changed their emergency response plans based on the influence of the independent variables which all relate to increasing emergency response. Recommendations The following recommendations are suggested: 1) further research needs to be conducted to measure factors not captured in this study, 2) focus emergency response planning as an organizational change problem and to utilize different planned change models for different change agents

On Vulnerability: Distinguishing Differences Between the Knight of Faith and the Knight of Resignation in Kierkegaard’s Fear and Trembling

CHRISTOPHER G. CROSS: On Vulnerability: Distinguishing Differences Between the Knight of Faith and the Knight of Resignation in Kierkegaard’s Fear and Trembling (Under the direction of William Lawhead) In Søren Kierkegaard’s work, Fear and Trembling, he describes two kinds of individuals, which he calls the knight of faith and the knight of infinite resignation. The purpose of this thesis is to consider the differences between the two. Several scholars of the work identify different characteristics that distinguish the knight of faith and the knight of infinite resignation. These characteristics include care (Mooney), courage (Carlisle), and autonomy (Lippitt). This thesis uses those three notions to suggest that another difference between the knight of faith and knight of infinite resignation is the characteristic of vulnerability

The Effectiveness of Visual Input Enhancement Across Multiple Proficiency Levels on the Noticing and L2 Development of German Vocabulary and Reading

The present study investigates the effectiveness of visual input enhancement across multiple proficiency levels on the noticing and L2 development of German vocabulary and reading. The study addresses several methodological issues in the extant literature and uses a complex organization to investigate possible differences in the effectiveness of visual input enhancement, a frequently used technique in L2 reading, across multiple proficiency levels in a typical L2 classroom setting at the university level. The study reveals that little to no differences exist across proficiency level and text level and that visual input enhancement, as is so often employed, has extremely limited potential for positive effects on L2 learners. In contrast, it is revealed to cause more harmful effects as opposed to aiding learners. The study also makes use of copious learner protocols to gain deeper insight into their thought processes while reading L2 texts to gauge their overall understanding and ability to acquire vocabulary

Partial Cosine-Funk Transforms at Poles of the Cosine-λ Transform on Grassmann Manifolds

The cosine-λ transform, denoted Cλ, is a family of integral transforms we can define on the sphere and on the Grassmannian manifolds of p-dimensional subspaces in Kn where K is R, C or the skew field H of quaternions. We treat the Grassmannians as the symmetric spaces SO(n)/S(O(p) × O(q)), SU(n)/S(U(p) × U(q)) and Sp(n)/(Sp(p) × Sp(q)) and we work by analogy with the case of the cosine-λ transform on the sphere, which is also a symmetric space. The family Cλ extends meromorphically in λ to the complex plane with poles at (among other values) λ =-1,…, -p. In this dissertation we normalize Cλ and we use well known harmonic analysis tools to evaluate at those poles. The result is a series of integral transforms on the Grassmannians that we can view as partial cosine-Funk transforms. The transform that arises at λ = -p is the natural Funk transform for the Grassmannians, which was introduced by B. Rubin

JOSTLE: multilevel graph partitioning software: an overview

In this chapter we look at JOSTLE, the multilevel graph-partitioning software package, and highlight some of the key research issues that it addresses. We first outline the core algorithms and place it in the context of the multilevel refinement paradigm. We then look at issues relating to its use as a tool for parallel processing and, in particular, partitioning in parallel. Since its first release in 1995, JOSTLE has been used for many mesh-based parallel scientific computing applications and so we also outline some enhancements such as multiphase mesh-partitioning, heterogeneous mapping and partitioning to optimise subdomain shap

trans-Bis{1-[2-(2,6-diisopropyl­anilino)phenyl]-3-isopropyl­imidazolin-2-ylidenyl-κC 2}diiodidopalladium(II) benzene disolvate

In the title complex, [PdI2(C24H31N3)2]·2C6H6, the Pd2+ ion is located on an inversion centre in a slightly distorted square-planar geometry. The angle between the I2C2 square plane and the mean plane of the N-heterocyclic carbene ring is 79.8 (2)°, with I—Pd—C—N torsion angles of −81.1 (6) and −78.2 (5)°. The Pd—carbene and Pd—I distances are 2.016 (6) and 2.5971 (10) Å, respectively