Device-independent tests of classical and quantum dimensions

We address the problem of testing the dimensionality of classical and quantum systems in a `black-box' scenario. We develop a general formalism for tackling this problem. This allows us to derive lower bounds on the classical dimension necessary to reproduce given measurement data. Furthermore, we generalise the concept of quantum dimension witnesses to arbitrary quantum systems, allowing one to place a lower bound on the Hilbert space dimension necessary to reproduce certain data. Illustrating these ideas, we provide simple examples of classical and quantum dimension witnesses.Comment: To appear in PR

My First Drink and My Last

The life story of a drunken man.https://place.asburyseminary.edu/ecommonsatsdigitalresources/1212/thumbnail.jp

Supreme Court Decisions In Kansas Affecting The Organizing of Schools

The problem of this thesis is to review supreme court decisions in Kansas affecting the organization of schools

Legal Education and American Law Institute

During the last three years there have been two developments in the legal profession that have reached the stage of achievement and that promise to have far-reaching consequence. One is the effort to raise the standards of legal education, and the other to improve the law and bring it into harmony with modern life through its restatement

Measuring the Efficacy of Leaders to Assess Information and Make Decisions in a Crisis: The C-LEAD Scale

Based on literature and expert interviews, we developed the Crisis Leader Efficacy in Assessing and Deciding scale (C-LEAD) to capture the efficacy of leaders to assess information and make decisions in a public health and safety crisis. In Studies 1 and 2, we find that C-LEAD predicts decision-making difficulty and confidence in a crisis better than a measure of general leadership efficacy. In Study 3, C-LEAD predicts greater motivation to lead in a crisis, more crisis leader role-taking, and more accurate performance while in a crisis leader role. These findings support the scale's construct validity and broaden our theoretical understanding of the nature of crisis leader efficacy.

Single-copy entanglement in a gapped quantum spin chain

The single-copy entanglement of a given many-body system is defined [J. Eisert and M. Cramer, Phys. Rev. A. 72, 042112 (2005)] as the maximal entanglement deterministically distillable from a bipartition of a single specimen of that system. For critical (gapless) spin chains, it was recently shown that this is exactly half the von Neumann entropy [R. Orus, J. I. Latorre, J. Eisert, and M. Cramer, Phys. Rev. A 73, 060303(R) (2006)], itself defined as the entanglement distillable in the asymptotic limit: i.e. given an infinite number of copies of the system. It is an open question as to what the equivalent behaviour for gapped systems is. In this paper, I show that for the paradigmatic spin-S Affleck-Kennedy-Lieb-Tasaki chain (the archetypal gapped chain), the single-copy entanglement is equal to the von Neumann entropy: i.e. all the entanglement present may be distilled from a single specimen.Comment: Typos corrected; accepted for publication in Phys. Rev. Lett.; comments welcom