12,570 research outputs found
Maximal violation of Clauser-Horne-Shimony-Holt inequality for two qutrits
Bell-Clauser-Horne-Shimony-Holt inequality (in terms of correlation
functions) of two qutrits is studied in detail by employing tritter
measurements. A uniform formula for the maximum value of this inequality for
tritter measurements is obtained. Based on this formula, we show that
non-maximally entangled states violate the Bell-CHSH inequality more strongly
than the maximally entangled one. This result is consistent with what was
obtained by Ac{\'{i}}n {\it et al} [Phys. Rev. A {\bf 65}, 052325 (2002)] using
the Bell-Clauser-Horne inequality (in terms of probabilities).Comment: 6 pages, 3 figure
Visual analysis of document triage data
As part of the information seeking process, a large amount of effort is invested in order to study and understand how information seekers search through documents such that they can assess their relevance. This search and assessment of document relevance, known as document triage, is an important information seeking process, but is not yet well understood. Human-computer interaction (HCI) and digital library scientists have undertaken a series of user studies involving information seeking, collected a large amount of data describing information seekers' behavior during document search. Next to this, we have witnessed a rapid increase in the number of off-the-shelf visualization tools which can benefit document triage study. Here we set out to utilize existing information visualization techniques and tools in order to gain a better understanding of the large amount of user-study data collected by HCI and digital library researchers. We describe the range of available tools and visualizations we use in order to increase our knowledge of document triage. Treemap, parallel coordinates, stack graph, matrix chart, as well as other visualization methods, prove to be insightful in exploring, analyzing and presenting user behavior during document triage. Our findings and visualizations are evaluated by HCI and digital library researchers studying this proble
Locality via Global Ties: Stability of the 2-Core Against Misspecification
For many random graph models, the analysis of a related birth process
suggests local sampling algorithms for the size of, e.g., the giant connected
component, the -core, the size and probability of an epidemic outbreak, etc.
In this paper, we study the question of when these algorithms are robust
against misspecification of the graph model, for the special case of the
2-core. We show that, for locally converging graphs with bounded average
degrees, under a weak notion of expansion, a local sampling algorithm provides
robust estimates for the size of both the 2-core and its largest component. Our
weak notion of expansion generalizes the classical definition of expansion,
while holding for many well-studied random graph models.
Our method involves a two-step sprinkling argument. In the first step, we use
sprinkling to establish the existence of a non-empty -core inside the giant,
while in the second, we use this non-empty -core as seed for a second
sprinkling argument to establish that the giant contains a linear sized
-core. The second step is based on a novel coloring scheme for the vertices
in the tree-part. Our algorithmic results follow from the structural properties
for the -core established in the course of our sprinkling arguments.
The run-time of our local algorithm is constant independent of the graph
size, with the value of the constant depending on the desired asymptotic
accuracy . But given the existential nature of local limits, our
arguments do not give any bound on the functional dependence of this constant
on , nor do they give a bound on how large the graph has to be for
the asymptotic additive error bound to hold
The stability and the shape of the heaviest nuclei
In this paper, we report a systematic study of the heaviest nuclei within the
relativistic mean field (RMF) model. By comparing our results with those of the
Hartree-Fock-Bogoliubov method (HFB) and the finite range droplet model (FRDM),
the stability and the shape of the heaviest nuclei are discussed. The
theoretical predictions as well as the existing experimental data indicate that
the experimentally synthesized superheavy nuclei are in between the fission
stability line, the line connecting the nucleus with maximum binding energy per
nucleon in each isotopic chain, and the -stability line, the line
connecting the nucleus with maximum binding energy per nucleon in each isobaric
chain. It is shown that both the fission stability line and the
-stability line tend to be more proton rich in the superheavy region.
Meanwhile, all the three theoretical models predict most synthesized superheavy
nuclei to be deformed.Comment: 6 pages, 7 figures, to appear in Journal of Physics
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