41,515 research outputs found
Block-Transitive Designs in Affine Spaces
This paper deals with block-transitive - designs in affine
spaces for large , with a focus on the important index case. We
prove that there are no non-trivial 5- designs admitting a
block-transitive group of automorphisms that is of affine type. Moreover, we
show that the corresponding non-existence result holds for 4- designs,
except possibly when the group is one-dimensional affine. Our approach involves
a consideration of the finite 2-homogeneous affine permutation groups.Comment: 10 pages; to appear in: "Designs, Codes and Cryptography
Tetravalent Colloids by Nematic Wetting
In an elegant paper, D. Nelson suggested a method to produce tetravalent
colloids based on a tetrahedral configuration created on the surface of a
spherical particle. It emerges from a two-dimensional nematic liquid crystal
placed on a sphere due to the presence of four 1/2 disclinations, i.e.,
topological defects in the orientational order. In this paper we show that such
a tetrahedral configuration also occurs in the wetting layers which form around
spheres dispersed in a liquid crystal above the nematic-isotropic phase
transition. Nematic wetting therefore offers an alternative route towards
tetravalent colloids.Comment: 7 pages, 4 figures, submitted to Europhys. Let
Combined potential of future long-baseline and reactor experiments
We investigate the determination of neutrino oscillation parameters by
experiments within the next ten years. The potential of conventional beam
experiments (MINOS, ICARUS, OPERA), superbeam experiments (T2K, NOvA), and
reactor experiments (D-CHOOZ) to improve the precision on the ``atmospheric''
parameters , , as well as the sensitivity to
are discussed. Further, we comment on the possibility to
determine the leptonic CP-phase and the neutrino mass hierarchy if
turns out to be large.Comment: 4 pages, 4 figures, Talk given by T.S. at the NOW2004 workshop, Conca
Specchiulla (Otranto, Italy), 11--17 Sept. 200
Corner overgrowth: Bending a high mobility two-dimensional electron system by 90 degrees
Introducing an epitaxial growth technique called corner overgrowth, we
fabricate a quantum confinement structure consisting of a high-mobility
GaAs/AlGaAs heterojunction overgrown on top of an ex-situ cleaved substrate
corner. The resulting corner-junction quantum-well heterostructure effectively
bends a two-dimensional electron system (2DES) at an atomically sharp angle. The high-mobility 2DES demonstrates fractional quantum Hall effect
on both facets. Lossless edge-channel conduction over the corner confirms a
continuum of 2D electrons across the junction, consistent with
Schroedinger-Poisson calculations of the electron distribution. This growth
technique differs distinctly from cleaved-edge overgrowth and enables a
complementary class of new embedded quantum heterostructures.Comment: 3 pages, 4 figures, latest version accepted to AP
Quantum Hypergraph States
We introduce a class of multiqubit quantum states which generalizes graph
states. These states correspond to an underlying mathematical hypergraph, i.e.
a graph where edges connecting more than two vertices are considered. We derive
a generalised stabilizer formalism to describe this class of states. We
introduce the notion of k-uniformity and show that this gives rise to classes
of states which are inequivalent under the action of the local Pauli group.
Finally we disclose a one-to-one correspondence with states employed in quantum
algorithms, such as Deutsch-Jozsa's and Grover's.Comment: 9+5 pages, 5 figures, 1 table, published versio
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