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18 papers · 1 filter
Exact synthesis of multiqubit Clifford+T circuits
Brett Giles, Peter Selinger
We prove that a unitary matrix has an exact representation over the Clifford+T gate set with local ancillas if and only if its entries are in the ring Z[1/sqrt(2),i]. Moreover, we…
Spacetimes with all scalar curvature invariants in terms of the Cosmological Constant
David McNutt
In this letter we provide an invariant characterization for all spacetimes with all polynomial scalar invariants constructed from the Riemann tensor and its covariant derivatives v…
Stability of Einstein-Aether Cosmological Models
Patrik Sandin, Bassemah Alhulaimi, Alan Coley
We use a dynamical systems analysis to investigate the future behaviour of Einstein-Aether cosmological models with a scalar field coupling to the expansion of the aether and a non…
Killing vectors in higher dimensional spacetimes with constant scalar curvature invariants
David McNutt, Nicos Pelavas, Alan Coley
We study the existence of a non-spacelike isometry, ζ, in higher dimensional Kundt spacetimes with constant scalar curvature invariants (CSI). We present the particular forms for t…
Isometries in higher dimensional CCNV spacetimes
David McNutt, Alan Coley, Nicos Pelavas
We study the class of higher-dimensional Kundt metrics admitting a covariantly constant null vector, known as CCNV spacetimes. We pay particular attention to those CCNV spacetimes…
Extended elliptic skyrmion gratings in epitaxial MnSi thin films
M. N. Wilson, E. A. Karhu, A. S. Quigley +5
A detailed investigation of the magnetization processes in epitaxial MnSi thin film reveals the existence of elliptically distorted skyrmion strings that lie in the plane of the fi…