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14 papers · 1 filter
Geometric Phases and Topological Quantum Computation
Vlatko Vedral
In the first part of this review we introduce the basics theory behind geometric phases and emphasize their importance in quantum theory. The subject is presented in a general way…
Construction of extremal local positive operator-valued measures under symmetry
S. Virmani, M. B. Plenio
We study the local implementation of POVMs when we require only the faithful reproduction of the statistics of the measurement outcomes for all initial states. We first demonstrate…
Nodes and the Hodge conjecture
R. P. Thomas
The Hodge conjecture is shown to be equivalent to a question about the homology of very ample divisors with ordinary double point singularities. The infinitesimal version of the re…
Normal Forms and Unfoldings of Linear Systems in Eigenspaces of (Anti)-Automorphisms of Order Two
I. Hoveijn, J. S. W. Lamb, R. M. Roberts
In this article we classify normal forms and unfoldings of linear maps in eigenspaces of (anti)-automorphisms of order two. Our main motivation is provided by applications to linea…
Finitary, Causal and Quantal Vacuum Einstein Gravity
Anastasios Mallios, Ioannis Raptis
We continue recent work and formulate the gravitational vacuum Einstein equations over a locally finite spacetime by using the basic axiomatics, techniques, ideas and working philo…
Commutator-errors in large-eddy simulation
Bernard J. Geurts, Darryl D. Holm
A new formulation is derived for the commutator-errors in large-eddy simulation of incompressible flow. These commutator-errors arise from the application of non-uniform filters to…