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Quantum communication complexity advantage implies violation of a Bell inequality
(National Academy of SciencesProceedings of the National Academy of Sciences, 2016-03-08)
We obtain a general connection between a large quantum advantage in communication complexity and Bell non-locality. We show that given any protocol offering a sufficiently large quantum advantage in communication complexity, ...
Assessment of ice flow dynamics in the zone close to the calving front of Antarctic ice shelves
(International Glaciological SocietyJournal of Glaciology, 2015-12-01)
We investigate the relationship between four ice-shelf characteristics in the area close to the calving front: ice flow speed, strain rate, ice thickness and shelf width. Data are compiled for these glaciological parameters ...
The response of the lower stratosphere to zonally symmetric thermal and mechanical forcing.
(American Meteorological SocietyJournal of the Atmospheric Sciences, 2016-04-15)
The response of the atmosphere to zonally symmetric applied heating and mechanical forcing is considered, allowing for the fact that the response may include a change in the wave force (or ‘wave drag’). A scaling argument ...
The double peak in upwelling and heating in the tropical lower stratosphere.
(American Meteorological SocietyJournal of the Atmospheric Sciences, 2016-04-15)
The processes responsible for double peak latitudinal structures in the time averaged tropical lower stratospheric upwelling, centred near 70hPa and 20º N–S, previously noted in ERA-Interim and other reanalysis and model ...
Propulsion of Bubble-Based Acoustic Microswimmers
(American Physical SocietyPhysical Review Applied, 2015-12-29)
Acoustic microswimmers present a great potential for microfluidic applications and targeted drug delivery. Here, we introduce armored microbubbles (size range, 10–20 μm) made by three-dimensional microfabrication, which ...
Graphical representations of Ising and Potts models: stochastic geometry of the quantum Ising model and the space-time Potts model
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsStatistical LaboratoryGonville & Caius College, 2010-02-09)
Statistical physics seeks to explain macroscopic properties of matter in terms of microscopic interactions. Of particular interest is the phenomenon of phase transition: the sudden changes in macroscopic
properties as ...
On eigenvectors for semisimple elements in actions of algebraic groups
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2010-02-09)
Let $G$ be a simple simply connected algebraic group defined over an algebraically closed field $K$ and $V$ an irreducible module defined over $K$ on which $G$ acts. Let $E$ denote the set of vectors in $V$ which are ...
Models of genus one curves
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2010-03-16)
In this thesis we give insight into the minimisation problem of genus one curves defined by equations other than Weierstrass equations. We are interested in genus one curves given as double covers of P1, plane cubics, or ...
Excitations in superfluids of atoms and polaritons
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsSt. Edmund's College, 2014-11-11)
This thesis is devoted to the study of excitations in atomic and polariton Bose-Einstein condensates (BEC). These two specimens are prime examples for equilibrium and non equilibrium BEC. The corresponding condensate wave ...
Random Intersection Trees
(JMLRJournal of Machine Learning Research, 2014-02)
Finding interactions between variables in large and high-dimensional datasets is often a serious computational challenge. Most approaches build up interaction sets incrementally, adding variables in a greedy fashion. The ...