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...

We investigate the condition for the bounce of circular disks which obliquely impacts on fluid surface. An experiment [ Clanet, C., Hersen, F. and Bocquet, L., Nature 427, 29 (2004) ] revealed that there exists a “magic angle” of 20◦ between a disk’s face and water surface in which condition the required speed for bounce is minimized. We perform three-dimensional simulation of the diskwater imp...

Based on the multi-level model, we have calculated light shifts for Zeeman states of hyperfine levels of cesium (Cs) 6S1/2 ground state and 6P3/2 excited state. The magic-wavelength linearly-polarized optical dipole trap (ODT) for Cs 6S1/2 |F = 4, mF = + 4ñ - 6P3/2 |F' = 5, mF = + 5ñ transition is experimentally constructed and characterized by using the laser-induced fluorescence spectra of tr...

Background: Gel polymers are considered as new dosimeters for determining radiotherapy dose distribution in three dimensions.Objective: The ability of a new formulation of MAGIC-f polymer gel was assessed by experimental measurement and Monte Carlo (MC) method for studying the effect of gold nanoparticles (GNPs) in prostate dose distributions under the internal Ir-192 and external 18MV radiothe...

For any h in N , a graph G = (V, E) is said to be h-magic if there exists a labeling l: E(G) to Z_{h}-{0} such that the induced vertex set labeling l^{+: V(G) to Z_{h}} defined by l^{+}(v)= Summation of l(uv)such that e=uvin in E(G) is a constant map. For a given graph G, the set of all for which G is h-magic is called the integer-magic spectrum of G and is denoted by IM(G). In this paper, the ...

General methods for the construction of magic squares of any order have been searched for centuries. Several " standard strategies " have been found for this purpose, such as the " knight movement " , or the construction of bordered magic squares, which played an important role in the development of general methods. What we try to do here is to give a general and comprehensive approach to the c...

Abstract Deciding whether a given function is quasiconvex generally difficult task. Here, we discuss number of numerical approaches that can be used in the search for counterexample to quasiconvexity W . We will demonstrate these methods using planar isotropic rank-one convex $$\begin{aligned} W_\textrm{magic}^+(F)=\frac{\lambda _\textrm{max}}{\lambda _\textrm{min}}-\log \frac{\lambda _\textrm{...

We report on the spectroscopy of the 5s 1S0 (F = 9/2) → 5s5p 3P0 (F = 9/2) clock transition of Sr atoms (natural linewidth of 1 mHz) trapped in a one-dimensional optical lattice. Recoilless transitions with a linewidth of 0.7 kHz as well as the vibrational structure of the lattice potential were observed. By investigating the wavelength dependence of the carrier linewidth, we determined the mag...