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Nonconvexity of private capacity and classical environment-assisted capacity of a quantum channel
(American Physical SocietyPhysical Review A, 2016-10-17)
The capacity of classical channels is convex. This is not the case for the quantum capacity of a channel: The capacity of a mixture of different quantum channels exceeds the mixture of the individual capacities and thus ...
Utilising optimised operators and distillation to extract scattering phase shifts
(Proceedings of Science, 2016-01-01)
In this investigation, we examine how the precision of energy spectra and scattering phase shifts, extracted in lattice QCD, depend upon the degree of distillation type smearing. We use the variational method to extract ...
Non-diagonal four-dimensional cohomogeneity-one Einstein metrics in various signatures
(ElsevierDifferential Geometry and its Application, 2016-11-11)
Most known four-dimensional cohomogeneity-one Einstein metrics are diagonal in a basis defined by the left-invariant one-forms, though some essentially non-diagonal ones are known. We consider the problem of explicitly ...
Discussion of ‘An adaptive resampling test for detecting the presence of significant predictors’ by I. W. McKeague and M. Qian
(Taylor & FrancisJournal of the American Statistical Association, 2016-01-15)
We are grateful for the opportunity to discuss this new test, based on marginal screening, of a global null hypothesis in linear models. Marginal screening has become a very popular tool for reducing dimensionality in ...
Semi-continuity of stability for sheaves and variation of Gieseker moduli spaces
(De GruyterJournal für die reine und angewandte Mathematik, 2016)
We investigate a semi-continuity property for stability conditions for sheaves that is important for the problem of variation of the moduli spaces as the stability condition changes. We place this in the context of a notion ...
Categories of spaces built from local models
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsTrinity Hall, 2016-06-28)
Many of the classes of objects studied in geometry are defined by first choosing a class of nice spaces and then allowing oneself to glue these local models together to construct more general spaces. The most well-known ...
Evolution of initially contracting Bianchi Class A models in the presence of an ultra-stiff anisotropic pressure fluid
(Institute of PhysicsClassical and Quantum Gravity, 2016-05-12)
We study the behaviour of Bianchi class A universes containing an ultra-stiff isotropic ghost field and a fluid with anisotropic pressures which is also ultra-stiff on the average. This allows us to investigate whether ...
The symplectic arc algebra is formal
(Duke University PressDuke Mathematical Journal, 2016-01-28)
We prove a formality theorem for the Fukaya categories of the symplectic manifolds underlying symplectic Khovanov cohomology over fields of characteristic zero. The key ingredient is the construction of a degree-one ...
A short proof that every finite graph has a tree-decomposition displaying its tangles
(ElsevierEuropean Journal of Combinatorics, 2016-06-08)
We give a short proof that every finite graph (or matroid) has a tree-decomposition that displays all maximal tangles.
This theorem for graphs is a central result of the graph minors project of Robertson and Seymour and ...