X(L) = {x ∈ X(L) such that Gx is finite and G · x is closed in X (L)} , where Gx is the stabilizer of x. It turns out that π −1 (π(x)) = G · x, for all x ∈ X(L). We refer to [7] or [8] for the classical properties of this quotient. Observe that this GIT-quotient is not canonical: it depends on a choice of an ample G-linearized line bundle L over X (sometimes called a polarization of X). During ...

(21) App1_ NO_; 14/068,235 A micro aerial vehicle capable of controlled transitory or _ sustained gliding ?ight. The vehicle includes a fuselage. A (22) Flled: 0d“ 31’ 2013 pair of articulated Wings are forward of a center of gravity of Related US Application Data the vehicle, the Wings being articulated and having trailing _ _ _ _ edge ?aps, and having actuators for controlling the dihedral (6...

Stabilizer-free polyaniline nanofiber aqueous colloids were obtained by the direct dispersing of polyaniline nanofiber prepared in the presence of β-cyclodextrin. The polyaniline nanofiber, the diameters of which are between 80 and 100 nm, can be steadily dispersed in near neuter (pH=6.5) aqueous solution for about 60 days without any steric or electrostatic stabilizer. © 2007 Elsevier B.V. All...

A construction is given of a valent arc transitive graph with vertex stabilizer isomorphic to the dihedral group D The graph has vertices and is the rst known example of a valent arc transitive graph with nonabelian vertex stabilizer A VALENT HALF ARC TRANSITIVE GRAPH

This report contains the comprehensive explanation of some most important quantum error correction codes. After the brief corroboration of the quantum mechanical principles that govern any quantum mechanical process, we introduce stabilizer formalism and stabilizer codes for quantum error correction (QEC). As an interesting derivative from classical counterpart we also present Quantum Reed Mull...

Let be an arbitrary stabilizer state distributed between three remote parties, such that each party holds several qubits. Let S be a stabilizer group of . We show that can be converted by local unitaries into a collection of singlets, GHZ states, and local one-qubit states. The numbers of singlets and GHZs are determined by dimensions of certain subgroups of S. For an arbitrary number of partie...

Purpose: The quasi-emulsion solvent diffusion (QESD) has evolved into an effective technique to manufacture agglomerates of API crystals. Although, the proposed technique showed benefits, such as cost effectiveness, that is considerably sensitive to the choice of a stabilizer, which agonizes from a absence of systemic understanding in this field. In the present study, the combination of differe...

Let F be a field and let N be a matroid in a class N of F-representable matroids that is closed under minors and the taking of duals. Then N is an F-stabilizer for N if every representation of a 3-connected member of N is determined up to elementary row operations and column scaling by a representation of any one of its N-minors. The study of stabilizers was initiated by Whittle. This paper ext...

We define and show how to construct nonbinary quantum stabilizer codes. Our approach is based on nonbinary error bases. It generalizes the relationship between selforthogonal codes over F4 and binary quantum codes to one between selforthogonal codes over Fq2 and q-ary quantum codes for any prime power q. Index Terms — quantum stabilizer codes, nonbinary quantum codes, selforthogonal codes.

The Gottesman-Knill theorem says that a stabilizer circuit—that is, a quantum circuit consisting solely of controlled-NOT (CNOT), Hadamard, and phase gates—can be simulated efficiently on a classical computer. This paper improves that theorem in several directions. First, by removing the need for Gaussian elimination, we make the simulation algorithm much faster at the cost of a factor of 2 inc...