5,101 research outputs found
Fortran IV trent-surface program for the IBM 360 model 40 computer
A Fortran IV trend surface program with polynomial contouring and residual plotting has been adapted to the University of Alaska IBM 360 Model 40 Computer. The program will compute equations of polynomials of the first through sixth degree, measures of the goodness of fit of the surfaces, tabulate original data, x y coordinates and corresponding residuals for each surface; contour each polynomial, and plot original values and residuals for each surface computed
The dynamics and evolution of clusters of galaxies
Research was undertaken to produce a coherent picture of the formation and evolution of large-scale structures in the universe. The program is divided into projects which examine four areas: the relationship between individual galaxies and their environment; the structure and evolution of individual rich clusters of galaxies; the nature of superclusters; and the large-scale distribution of individual galaxies. A brief review of results in each area is provided
Optimal control of a leaking qubit
Physical implementations of quantum bits can contain coherent transitions to
energetically close non-qubit states. In particular, for anharmonic oscillator
systems such as the superconducting phase qubit and the transmon a two-level
approximation is insufficient. We apply optimal control theory to the envelope
of a resonant Rabi pulse in a qubit in the presence of a single, weakly
off-resonant leakage level. The gate error of a spin flip operation reduces by
orders of magnitude compared to simple pulse shapes. Near-perfect gates can be
achieved for any pulse duration longer than an intrinsic limit given by the
nonlinearity. The pulses can be understood as composite sequences that refocus
the leakage transition. We also discuss ways to improve the pulse shapes.Comment: 4 pages, 2 figure
Generalization of a theorem of Fleck, Hedetniemi and Oehmke on δ∗-semigroups of automata
AbstractA solution to a conjecture of Fleck, Hedetniemi and Oehmke [4] on δ∗-semigroups of automata is presented. This also generalizes a result in [1]
r-tuple colorings of uniquely colorable graphs
AbstractAn r-tuple coloring of a graph is one in which r colors are assigned to each point of the graph so that the sets of colors assigned to adjacent points are always disjoint. We investigate the question of whether a uniquely n-colorable graph can receive an r-tuple coloring with fewer than nr colors. We show that this cannot happen for n=3 and r=2 and that for a given n and r to establish the conjecture that no uniquely n-colorable graph can receive an r-tuple coloring from fewer than nr colors it suffices to prove it for on a finite set of uniquely n-colorable graphs
Optimization of a neutrino factory oscillation experiment
We discuss the optimization of a neutrino factory experiment for neutrino
oscillation physics in terms of muon energy, baselines, and oscillation
channels (gold, silver, platinum). In addition, we study the impact and
requirements for detector technology improvements, and we compare the results
to beta beams. We find that the optimized neutrino factory has two baselines,
one at about 3000 to 5000km, the other at about 7500km (``magic'' baseline).
The threshold and energy resolution of the golden channel detector have the
most promising optimization potential. This, in turn, could be used to lower
the muon energy from about 50GeV to about 20GeV. Furthermore, the inclusion of
electron neutrino appearance with charge identification (platinum channel)
could help for large values of \sin^2 2 \theta_{13}. Though tau neutrino
appearance with charge identification (silver channel) helps, in principle, to
resolve degeneracies for intermediate \sin^2 2 \theta_{13}, we find that
alternative strategies may be more feasible in this parameter range. As far as
matter density uncertainties are concerned, we demonstrate that their impact
can be reduced by the combination of different baselines and channels. Finally,
in comparison to beta beams and other alternative technologies, we clearly can
establish a superior performance for a neutrino factory in the case \sin^2 2
\theta_{13} < 0.01.Comment: 51 pages, 25 figures, 6 tables, references corrected, final version
to appear in Phys. Rev.
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