SIC-POVMs and Compatibility among Quantum States

An unexpected connection exists between compatibility criteria for quantum states and symmetric informationally complete POVMs. Beginning with Caves, Fuchs and Schack's "Conditions for compatibility of quantum state assignments" [Phys. Rev. A 66 (2002), 062111], I show that a qutrit SIC-POVM studied in other contexts enjoys additional interesting properties. Compatibility criteria provide a new way to understand the relationship between SIC-POVMs and mutually unbiased bases, as calculations in the SIC representation of quantum states make clear. This, in turn, illuminates the resources necessary for magic-state quantum computation, and why hidden-variable models fail to capture the vitality of quantum mechanics.Comment: 15 pages, 4 MUBs, 2 errata for CFS (2002), 1 graph with chromatic number 4. v4: journal versio

The Soviet Union and the United States in Space - Memorandum of the Seminars, 23 March - 20 April 1965

Soviet and United States space programs compared at five seminar

Growth and Fiscal Health in Wisconsin Cities

The intent of the applied research reported in this paper is to examine the relationship between growth and the fiscal health of a subset of local governments (incorporated cities) over the last decade. While any number of researchers has raised this question, the literature has tended to focus on larger urban areas during economic downturns. Ladd's (1994) most recent research looking at the fiscal effects of growth has become perhaps the most influential in this line of work. Ladd's research, however, is limited in that she focused on per capita spending, a variable of interest in itself and because it can be conceptually linked to service quality and tax burden. While the data used in her analysis do not reflect a period of economic downturn, the data are for large counties from across the U.S. The analysis presented in this paper is intended to explore of the impact of growth on the fiscal health of smaller local governments. Annual data for Wisconsin cities from 1991 to 1998 are analyzed in this study. Six measures are used to capture different aspects of fiscal health. Changes in these measures in relation to changes in population, property values, and income are evaluated through a series of tests of subsample equivalence and regression analysis.