A scheme for efficient quantum computation wtih linear optics

Quantum computers promise to increase greatly the efficiency of solving problems such as factoring large integers, combinatorial optimization and quantum physics simulation. One of the greatest challenges now is to implement the basic quantum-computational elements in a physical system and to demonstrate that they can be reliably and scalably controlled. One of the earliest proposals for quantum computation is based on implementing a quantum bit with two optical modes containing one photon. The proposal is appealing because of the ease with which photon interference can be observed. Until now, it suffered from the requirement for non-linear couplings between optical modes containing few photons. Here we show that efficient quantum computation is possible using only beam splitters, phase shifters, single photon sources and photo-detectors. Our methods exploit feedback from photo-detectors and are robust against errors from photon loss and detector inefficiency. The basic elements are accessible to experimental investigation with current technology.

Computation of bifurcation boundaries for power systems: A new Delta-plane method

This paper is devoted to the problems of finding the load flow feasibility, saddle node, and Hopf bifurcation boundaries in the space of power system parameters. The first part contains a review of the existing relevant approaches including not-so-well-known contributions from Russia. The second part presents a new robust method for finding the power system load flow feasibility boundary on the plane defined by any three vectors of dependent variables (nodal voltages), called the Delta plane. The method exploits some quadratic and linear properties of the load now equations and state matrices written in rectangular coordinates. An advantage of the method is that it does not require an iterative solution of nonlinear equations (except the eigenvalue problem). In addition to benefits for visualization, the method is a useful tool for topological studies of power system multiple solution structures and stability domains. Although the power system application is developed, the method can be equally efficient for any quadratic algebraic problem.

Twelve-month Outcomes After Coronary Stenting With the Genous (TM) Bio-Engineered R Stent (TM) in Diabetic Patients from the e-HEALING Registry

Objectives: We compared 12-month outcomes, regarding ischemic events, repeat intervention, and ST, between diabetic and nondiabetic patients treated with the Genous (TM) EPC capturing R stent (TM) during routine nonurgent percutaneous coronary intervention (PCI) using data from the multicenter, prospective worldwide e-HEALING registry. Background: Diabetic patients have an increased risk for restenosis and stent thrombosis (ST). Methods: In the 4,996 patient e-HEALING registry, 273 were insulin requiring diabetics (IRD), 963 were non-IRD (NIRD), and 3,703 were nondiabetics. The 12-month primary outcome was target vessel failure (TVF), defined as target vessel-related cardiac death or myocardial infarction (MI) and target vessel revascularization. Secondary outcomes were the composite of cardiac death, MI or target lesion revascularization (TLR), and individual outcomes including ST. Cumulative event rates were estimated with the Kaplan-Meier method and compared with a log-rank test. Results: TVF rates were respectively 13.4% in IRD, 9.0% in NIRD, and 7.9% in nondiabetics (P < 0.01). This was mainly driven by a higher mortality hazard in IRD (P < 0.001) and NIRD (P = 0.07), compared with nondiabetics. TLR rates were comparable in NIRD and nondiabetics, but significantly higher in IRD (P = 0.04). No difference was observed in ST. Conclusion: The 1-year results of the Genous stent in a real-world population of diabetics show higher TVF rates in diabetics compared with nondiabetics, mainly driven by a higher mortality hazard. IRD is associated with a significant higher TLR hazard. Definite or probable ST in all diabetic patients was comparable with nondiabetics. (J Interven Cardiol 2011;24:285-294)

A new algorithm and refined bounds for extended gcd computation

Extended gcd computation is interesting itself. It also plays a fundamental role in other calculations. We present a new algorithm for solving the extended gcd problem. This algorithm has a particularly simple description and is practical. It also provides refined bounds on the size of the multipliers obtained.

Clinical results after coronary stenting with the Genous (TM) Bio-engineered R stent (TM): 12-month outcomes of the e-HEALING (Healthy Endothelial Accelerated Lining Inhibits Neointimal Growth) worldwide registry

Aims: e-HEALING is a worldwide, internet-based registry designed to capture post marketing clinical data on the use of the Genous (TM) EPC capturing R stent (TM). Rapid restoration of a healthy endothelial layer after stent placement by capturing circulating endothelial progenitor cells may reduce both stent thrombosis (ST) and in-stent-restenosis. Methods and results: We planned a 5,000 patient registry with >= 1 lesion suitable for stenting. The 12-month primary outcome was target vessel failure (TVF), defined as target vessel-related cardiac death or myocardial infarction (MI) and target vessel revascularisation. Secondary outcomes were the composite of cardiac death, MI or target lesion revascularisation (TLR), and individual outcomes including ST. A total of 4,939 patients received >= 1 Genous stent between 2005 and 2007. Baseline characteristics showed a median age of 63 years, 79% males, 25% diabetics, and 37% with prior MI. A total of 49% of lesions treated were ACC/AHA type B2 or C; 1.1 stents per lesion were used. At 12 months, TVF occurred in 8.4% and the composite of cardiac death, MI or TLR in 7.9%. Twelve-month TLR and ST were 5.7% and 1.1%, respectively. Conclusions: Coronary stenting with the Genous results in good clinical outcomes, and low incidences of repeat revascularisation and ST.

Alternatives for parallel Krylov subspace basis computation

Numerical methods related to Krylov subspaces are widely used in large sparse numerical linear algebra. Vectors in these subspaces are manipulated via their representation onto orthonormal bases. Nowadays, on serial computers, the method of Arnoldi is considered as a reliable technique for constructing such bases. However, although easily parallelizable, this technique is not as scalable as expected for communications. In this work we examine alternative methods aimed at overcoming this drawback. Since they retrieve upon completion the same information as Arnoldi's algorithm does, they enable us to design a wide family of stable and scalable Krylov approximation methods for various parallel environments. We present timing results obtained from their implementation on two distributed-memory multiprocessor supercomputers: the Intel Paragon and the IBM Scalable POWERparallel SP2. (C) 1997 by John Wiley & Sons, Ltd.

Rapid computation of static fields produced by thick circular solenoids

A straightforward method is proposed for computing the magnetic field produced by a circular coil that contains a large number of turns wound onto a solenoid of rectangular cross section. The coil is thus approximated by a circular ring containing a continuous constant current density, which is very close to the real situation when sire of rectangular cross section is used. All that is required is to evaluate two functions, which are defined as integrals of periodic quantities; this is done accurately and efficiently using trapezoidal-rule quadrature. The solution can be obtained so rapidly that this procedure is ideally suited for use in stochastic optimization, An example is given, in which this approach is combined with a simulated annealing routine to optimize shielded profile coils for NMR.

A flexible method for rapid force computation in elliptical magnets

The design of open-access elliptical cross-section magnet systems has recently come under consideration. Obtaining values for the forces generated within these unusual magnets is important to progress the designs towards feasible instruments. This paper presents a novel and flexible method for the rapid computation of forces within elliptical magnets. The method is demonstrated by the analysis of a clinical magnetic resonance imaging magnet of elliptical cross-section and open design. The analysis reveals the non-symmetric nature of the generated Maxwell forces, which are an important consideration, particularly in the design of superconducting systems.