Compact Toffoli gate using weighted graph states

We introduce three compact graph states that can be used to perform a measurement-based Toffoli gate. Given a weighted graph of six, seven, or eight qubits, we show that success probabilities of 1/4, 1/2, and 1, respectively, can be achieved. Our study puts a measurement-based version of this important quantum logic gate within the reach of current experiments. As the graphs are setup independent, they could be realized in a variety of systems, including linear optics and ion traps.

Beyond Compliance – Below Expectations? Cross-Border CSR, Development and the UN Global Compact.

In this paper, the results of an empirical analysis of a set of 416 descriptive case studies published by corporate members of the UN Global Compact are presented. Although these cases cannot be viewed as representative of the Compact itself or of corporate social responsibility (CSR) and development in general, they can illustrate which kinds of projects are deemed appropriate as best practice examples among Compact members, and therefore indicate the direction, in which predominantly voluntary and business-led CSR might at best be evolving. To help contextualize the analysis, the paper starts with a brief overview of recent academic work on the strengths and limitations of CSR in the light of international development, followed by the empirical analysis of Compact case studies. The results raise doubts regarding the general suitability of contemporary CSR initiatives to tackle some of the most pressing developmental challenges. Instead, only certain topics are commonly addressed, while a number of issues such as anti-corruption measures or labour rights are underrepresented in the case study sample. Regarding the target regions of the best practice examples, the majority is reported on activities based in OECD countries and a small number of emerging markets such as South Africa, India or China, while neglecting other regions such as sub-Saharan Africa (excluding South Africa). From a European Union policy perspective, these results indicate that there is a role to play for the state in order to create a better fit between CSR agendas and the actual developmental needs in the South.

Pattern Switching Compact Patch Antenna for On-body and Off-body Communications at 2.45 GHz

The ability to switch between propagating modes is important for body-centric applications such as medical body area networks where a single node may need to be able to optimise communications for either on-body sensor links or off-body links to the wider network. Therefore, we present a compact 2.45 GHz active mode-switching wearable antenna for both on-body and off-body wireless communications. The single-layer patch antenna was pattern-switched using shorting pins and had an impedance bandwidth of 253 MHz and 217 MHz for the on-body and off-body radiating modes, respectively. An efficiency of 57 % and 56.8 % was obtained for on-body and off-body mode respectively when placed in close proximity to a phantom that represents a muscle issue at 2.45 GHz.

On the derived category of a regular toric scheme

Let X be a quasi-compact scheme, equipped with an open covering by affine schemes U s = Spec A s . A quasi-coherent sheaf on X gives rise, by taking sections over the U s , to a diagram of modules over the coordinate rings A s , indexed by the intersection poset S of the covering. If X is a regular toric scheme over an arbitrary commutative ring, we prove that the unbounded derived category of quasi-coherent sheaves on X can be obtained from a category of Sop-diagrams of chain complexes of modules by inverting maps which induce homology isomorphisms on hyper-derived inverse limits. Moreover, we show that there is a finite set of weak generators, one for each cone in the fan S. The approach taken uses the machinery of Bousfield–Hirschhorn colocalisation of model categories. The first step is to characterise colocal objects; these turn out to be homotopy sheaves in the sense that chain complexes over different open sets U s agree on intersections up to quasi-isomorphism. In a second step it is shown that the homotopy category of homotopy sheaves is equivalent to the derived category of X.

Wideband measurement of the acoustic impedance of tubular objects

A method is discussed for measuring the acoustic impedance of tubular objects that gives accurate results for a wide range of frequencies. The apparatus that is employed is similar to that used in many previously developed methods; it consists of a cylindrical measurement duct fitted with several microphones, of which two are active in each measurement session, and a driver at one of its ends. The object under study is fitted at the other end. The impedance of the object is determined from the microphone signals obtained during excitation of the air inside the 1 duct by the driver, and from three coefficients that are pre-determined using four calibration measurements with closed cylindrical tubes. The calibration procedure is based on the simple mathematical relationships between the impedances of the calibration tubes, and does not require knowledge of the propagation constant. Measurements with a cylindrical tube yield an estimate of the attenuation constant for plane waves, which is found to differ from the theoretical prediction by less than 1.4% in the frequency range 1 kHz-20 kHz. Impedance measurements of objects with abrupt changes in diameter are found to be in good agreement with multimodal theory.