ARTICLE INFO An H-magic labeling in a H-decomposable graph G is a bijection f : V (G) ∪ E(G) → {1, 2, ..., p+ q} such that for every copy H in the decomposition, ∑

We introduce an analytical method that combines in one pot the advantages of column chromatography separation and NMR structural analysis. The separation of the NMR spectra of the components of a mixture can be achieved according to their apparent diffusion rates [James, T. L. and McDonald, G. G. (1973) J. Magn. Reson. 58, 58-61]. We show that the separation of the spectral components, correspo...

We present an experimental study of the lattice-induced light shifts on the (1)S(0) --> (3)P(0) optical clock transition (nu(clock) approximately 518 THz) in neutral ytterbium. The "magic" frequency nu(magic) for the 174Yb isotope was determined to be 394 799 475(35) MHz, which leads to a first order light shift uncertainty of 0.38 Hz. We also investigated the hyperpolarizability shifts due to ...

A new family of composite decoupling sequences designed for heteronuclear broadband decoupling of spin-l and spin-f in solids and liquid crystals is introduced. The pulse sequences are windowless and perform net rotations in spin space about magic-angle axes. Computer simulations and experimental results are presented to demonstrate their decoupling performance and to discuss their susceptibili...

Magic state distillation is a fundamental technique for realizing fault-tolerant universal quantum computing, and produces high-fidelity Clifford eigenstates, called magic states, which can be used to implement the non-Clifford π/8 gate. We propose an efficient protocol for distilling other non-stabilizer states that requires only Clifford operations, measurement, and magic states. One critical...

Let G = (V,E) be a graph of order n. A closed distance magic labeling of G is a bijection l : V (G) → {1, . . . , n} for which there exists a positive integer k such that ∑ x∈N [v] l(x) = k for all v ∈ V , where N [v] is the closed neighborhood of v. We consider the closed distance magic graphs in the algebraic context. In particular we analyze the relations between the closed distance magic la...

Examples for recent studies of magnetic dipole and electric quadrupole excitations with the nuclear resonance fluorescence technique at the superconducting Darmstadt electron linear accelerator S–DALINAC are given. The properties of the gross and fine structure of the orbital magnetic scissors mode in even and odd-mass nuclei are summarized. Within a test experiment, the decay width of the exci...