673 research outputs found
Exact Generalized Voronoi Diagram Computation using a Sweepline Algorithm
Voronoi Diagrams can provide useful spatial information. Little work has been done on computing exact Voronoi Diagrams when the sites are more complex than a point. We introduce a technique that measures the exact Generalized Voronoi Diagram from points, line segments and, connected lines including lines that connect to form simple polygons. Our technique is an extension of Fortune’s method. Our approach treats connected lines (or polygons) as a single site
Fibred Coalgebraic Logic and Quantum Protocols
Motivated by applications in modelling quantum systems using coalgebraic
techniques, we introduce a fibred coalgebraic logic. Our approach extends the
conventional predicate lifting semantics with additional modalities relating
conditions on different fibres. As this fibred setting will typically involve
multiple signature functors, the logic incorporates a calculus of modalities
enabling the construction of new modalities using various composition
operations. We extend the semantics of coalgebraic logic to this setting, and
prove that this extension respects behavioural equivalence.
We show how properties of the semantics of modalities are preserved under
composition operations, and then apply the calculational aspect of our logic to
produce an expressive set of modalities for reasoning about quantum systems,
building these modalities up from simpler components. We then demonstrate how
these modalities can describe some standard quantum protocols. The novel
features of our logic are shown to allow for a uniform description of unitary
evolution, and support local reasoning such as "Alice's qubit satisfies
condition" as is common when discussing quantum protocols.Comment: In Proceedings QPL 2013, arXiv:1412.791
Co-creating & Implementing a Reasonable Adjustments Framework in an acute hospital trust
This poster offers evidence of practice development activities undertaken to establish a clinical framework for making reasonable adjustments in acute hospital and application of the tool in a mortality audit.Peer reviewe
Theory and experiment of entanglement in a quasi-phase-matched two-crystal source
We report new results regarding a source of polarization entangled
photon-pairs created by the process of spontaneous parametric downconversion in
two orthogonally oriented, periodically poled, bulk KTiOPO4 crystals (PPKTP).
The source emits light colinearly at the non-degenerate wavelengths of 810 nm
and 1550 nm, and is optimized for single-mode optical fiber collection and
long-distance quantum communication. The configuration favors long crystals,
which promote a high photon-pair production rate at a narrow bandwidth,
together with a high pair-probability in fibers. The quality of entanglement is
limited by chromatic dispersion, which we analyze by determining the output
state. We find that such a decoherence effect is strongly material dependent,
providing for long crystals an upper bound on the visibility of the coincidence
fringes of 41% for KTiOPO4, and zero for LiNbO3. The best obtained raw
visibility, when canceling decoherence with an extra piece of crystal, was 91
\pm 0.2%, including background counts. We confirm by a violation of the
CHSH-inequality (S = 2.679 \pm 0.004 at 55 s^{-1/2} standard deviations) and by
complete quantum state tomography that the fibers carry high-quality entangled
pairs at a maximum rate of 55 x 10^3 s^{-1}THz^{-1}mW^{-1}.Comment: 12 pages, 10 figures, REVTeX
Expression, Purification and Characterization of Ricin vectors used for exogenous antigen delivery into the MHC Class I presentation pathway
Disarmed versions of the cytotoxin ricin can deliver fused peptides into target cells leading to MHC class I-restricted antigen presentation [Smith et al. J Immunol 2002; 169:99-107]. The ricin delivery vector must contain an attenuated catalytic domain to prevent target cell death, and the fused peptide epitope must remain intact for delivery and functional loading to MHC class I molecules. Expression in E. coli and purification by cation exchange chromatography of the fusion protein is described. Before used for delivery, the activity of the vector must be characterized in vitro, via an N-glycosidase assay, and in vivo, by a cytotoxicity assay. The presence of an intact epitope must be confirmed using mass spectrometry by comparing the actual mass with the predicted mass
Isomonodromic deformations of connections with singularities of parahoric formal type
In previous work, the authors have developed a geometric theory of
fundamental strata to study connections on the projective line with irregular
singularities of parahoric formal type. In this paper, the moduli space of
connections that contain regular fundamental strata with fixed combinatorics at
each singular point is constructed as a smooth Poisson reduction. The authors
then explicitly compute the isomonodromy equations as an integrable system.
This result generalizes work of Jimbo, Miwa, and Ueno to connections whose
singularities have parahoric formal type.Comment: 32 pages. One of the main theorems (Theorem 5.1) has been
significantly strengthened. It now states that the isomonodromy equations
give rise to an integrable system on the moduli space of framed connections
with fixed combinatorics instead of only on a principal GL_n bundle over this
space. Sections 5 and 6 have been substantially rewritte
- …